Abstract
The lambda calculus was introduced in 1932 – 1933 by A. Church [A3] as part of a theory intended as a foundation for mathematics. This foundational theory consisted of a part dealing with logical symbols and rules and a part dealing with algorithms operating on these symbols. After it was shown by S.C. Kleene and J.B. Rosser [A7] that this foundational system was inconsistent, the part dealing with algorithms only was isolated as the (type-free) lambda calculus. It turned out to be quite successful in capturing the intuitive notion of computable function. Kleene [A6] showed that exactly the recursive functions (cf. Recursive function) are lambda definable in the sense given below. Then A.M. Turing [A10] introduced his machines (cf. Turing machine) and showed that Turing computable and lambda definable are equivalent notions. These are arguments for the Church—Turing thesis that the intuitive notion of computable is correctly formalised as lambda definable, Turing computable or recursive (cf. also Church thesis). Although many programming languages are based on the computational model of Turing (imperative programming), presently the model of Church enjoys a lot of attention in the form of functional programming.
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References
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Landau, L.D. and Lifshitz, E.M.: Theory of elasticity, Pergamon, 1959 (translated from the Russian).
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Hunter, S.C.: Mechanics of continuous media, Wiley, 1976.
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Fladt, K.: Analytische Geometrie spezieller ebener Kurven, Akad. Verlagsgesellschaft, 1962.
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Trubnkov, B.A.: ‘Problems of plasma theory’, in M.A. Leontovich (ed.): Reviews in plasma physics, New York, 1965, pp. 105-204.
Balescu, R.: Equilibrium and non-equilibrium statistical mechanics, 1-2, Wiley, 1975.
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Kiileen, J. and Marx, K.D.: Methods in computational physics, 9, Acad. Press, 1970.
Kiileen, J., Mirin, A.A. and Rensink, M.K.: Methods in computational physics, 16, Acad. Press, 1976.
Samarskiĭ, A.A.: Theorie der Differenzverfahren, Akad. Verlagsgesell. Geest u. Portig K.-D., 1984 (translated from the Russian).
Landau, E: ‘Ueber eine Verallgemeinerung des Picardschen Satzes’, Sitzungsber Preuss. Akad. Wiss. 38 (1904), 1118–1133.
Landau, E. and Gaier, D.: Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie, Springer, reprint, 1986.
Landau, E.: ‘Zum Koebeschen Verzerrungssatz’ Rend Circ. Mat Palermo 46 (1922), 347–348.
Landau, E: ‘Der Picard—Schottkysche Satz und die Blochasche Konstante’, Sitzungsber. Preuss. Akad. Wiss. Phys. Math. Kl. 32 (1926), 467–474.
Landau, E: ‘Ueber die Blochsche Konstante und zwei verwandte Weltkonstanten’, Math. Z. 30 (1929), 608–634.
Landau, E: ‘Ansgewählte Kapitel der Funktionentheorie’, Trudy Tbihs. Mal Inst. Akad. Nauk. SSSR 8 (1940), 23–68.
Stcĭlov, S.: The theory of functions of a complex variable, 1-2, Moscow, 1962 (in Russian and Rumanian).
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Valiron, G.: Fonctions analytiques, Moscow, 1957 (in Russian; translated from the French).
Bermant, A.: ‘Dilatation of a modular function and reconstruction problems’, Mat Sb. 15, no. 2 (1944), 285–318 (in Russian). French abstract.
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Langevin, P.: ‘Sur la théorie de mouvement Brownien’, C.R. Acad. Sci. Paris 146 (1908), 530–533.
Uhlenbeck, G.E. and Ornstein, L.S.: ‘On the theory of Brownian motion’, Phys. Rev. 36 (1930), 823–841.
Ford, G.W., Kac, M. and Mazur, P.: ‘Statistical mechanics of assemblies of coupled oscillators’, J. Math. Phys. 6 (1965), 504–515.
Barnett, C., Streater, R.F. and Wilde, I.F.: ‘Quasi-free quantum stochastic integrals for the CAR and CCR’, J. Funct. Anal. 52 (1983), 19–47.
Hudson, R.L. and Parthasarathy, K.R.: ‘Quantum Itô’s formula and stochastic evolutions’, Commun. Math. Phys. 93 (1984), 301–323.
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Viaddmirov, V.S.: Equations of mathematical physics, Mir, 1984 (translated from the Russian).
Markushevich, A.I.: Theory of functions of a complex variable, 2, Chelsea, 1977 (translated from the Russian).
Morse, P.M. and Fbshbach, H.: Methods of theoretical physics, 2, McGraw-Hill, 1953.
Bocher, M.: Ueber die Reihenentwicklungen der Potentialtheorie, Teubner, 1894.
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Laplace, P.S.: ‘Mémoire sur la théorie de l’anneau de Saturne’, Hist. Acad. Sci. Paris (1787).
Lang, S.: Complex analysis, Springer, 1985.
Gilbaro, D. and Trudinger, N.S.: Bliptic partial differential equations of second order. Springer, 1983.
Petrovskiĭ, I.G.: Partial differential equations, Saunders, 1967 (translated from the Russian).
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Tichonoff, A.N. [A.N. Tikhonov] and Samarskiĭ, A.A.: Differentialgleichungen der mathematischen Physik, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Aubin, J.P.: Approximation of elliptic boundary-value problems, Wiley, 1972.
Ciarlbt, P.G.: The finite element method for elliptic problems, North-Holland, 1978.
Dyakonov, E.G.: Minimization of computational work. Asymptotically optimal algorithms for elliptic problems, Moscow, 1989 (in Russian).
Bakhvalov, N.S.: ‘About optimization of numerical methods’, in Proc. Internat. Congress of Mathematicians Nice, 1970, Vol. 3, Gauthier-Villars, 1971, pp. 289–295.
Volkov, E.A.: ‘On the smoothness of solutions of the Dirichlet problem and the composite mesh method on polyhedra’, Proc. Steklov Inst. Math. 150 (1979), 71–104. (Trudy Mat. Inst. Steklov. 150 (1979), 67-98)
Samarskiĭ, A.A. and Fryazinov, I.V.: ‘Difference approximation methods for problems of mathematical physics’, Russian Math. Surveys 31, no. 6 (1976), 179–213. (Uspekhi Mat. Nauk 31, no. 6 (1976), 167-197)
Banerjee, P.K. and Butterfield, R.: Boundary element methods in engineering science, McGraw-Hill, 1981.
Grouch, S.L. and Starfield, A.M.: Boundary element methods in solid mechanics, Allen & Unwin, 1983.
Rices, J.R. and Boisvert, R.F.: Solving elliptic problems using ELLPACK, Springer, 1984.
Bnrkhoff, G. and Lynch, R.E.: Numerical solution of elliptic problems, SIAM, 1984.
Varga, R.S.: Matrix iterative analysis, Prentice-Hall, 1962.
Wachspress, E.L.: Iterative solutions of elliptic systems, Prentice-Hall, 1966.
Young, D.M.: Iterative solutions of large linear system, Acad. Press, 1971.
Strano, G. and Fix, G.J.: An analysis of the finite element method, Prentice-Hall, 1973.
Mitchell, A.R. and Griffits, A.F.: The finite difference methods in partial differential equations, Wiley, 1980.
Johnson, C.: Numerical solutions of partial differential equations by the finite element method, Cambridge Univ. Press, 1987.
Oberhettinoer, F. and Badii, L.: Tables of Laplace transforms, Springer, 1973.
Sneddon, I.N.: The use of integral transforms, McGraw-Hill, 1972.
Ditkin, V.A. and Prudnkov, A.P.: Integral transforms, Plenum, 1969 (translated from the Russian).
Doetsch, G.: Handbuch der Laplace-Transformation, 1-3, Birkhäuser, 1950-1956.
Laplace, P.S.: ‘Essai philosophique sur les probabilités’, in Oeuvres complètes, Vol. 7, Gauthier-Villars, 1886.
Erdélyl A.: Asymptotic expansions, Dover, reprint, 1956.
Bruun, N.G. de: Asymptotic methods in analysis, Dover, reprint, 1981.
Evorafov, M. A.: Asymptotic estimates and entire functions, Gordon & Breach, 1961 (translated from the Russian).
Copson, E.T.: Asymptotic expansions, Cambridge Univ. Press, 1965.
Olver, F.W J.: Asymptotics and special functions, Acad. Press, 1974.
Riekstyn’sh, E.: Asymptotic expansions of integrals, 1, Riga, 1974 (in Russian).
Fbdoryuk, M.V.: The method of steepest descent, Moscow, 1977 (in Russian).
Bleistein, N. and Handelsman, R.A.: Asymptotic expansions of integrals, Holt, Rinehart & Winston, 1975, Chapt. 5.
Rham, G. de: Differentiable manifolds, Springer, 1984 (translated from the French).
Chern, S.S.: Complex manifolds, Univ. Recife, 1959.
Wells, jr., R.O.: Differential analysis on complex manifolds, Springer, 1980.
Hodge, W.V.D.: The theory and application of harmonic integrals, Cambridge Univ. Press, 1952.
Darboux, G.: Leçons sur la théorie générale des surfaces, 2, Chelsea, reprint, 1972.
Finikow, S.P. [S.P. Ftnikov]: Theorie der Kongruenzen, Akad. Verlag, 1959 (translated from the Russian).
Chern, S.S.: ‘Laplace transforms of a class of higherdimensional varieties in a projective space of n dimensions’, Proc. Nat. Acad. Sci USA 30 (1944), 95–97.
Smirnov, R.V.: ‘Laplace transforms of p-conjugate systems’, Dokl. Akad. Nauk SSSR 71, no. 3 (1950), 437–439 (in Russian).
Laplacb, P.S.: Théorie analytique des probabilités, Paris, 1812.
Moivre, A. de: Miscellanea analytica de seriebus et quadraturis, London, 1730.
Prokhorov, Yu.V. and Rozanov, Yu. A.: Probability theory, Springer, 1969 (translated from the Russian).
Feller, W.: ‘On the normal approximation to the binomial distribution’, Ann. Math. Statist. 16 (1945), 319–329.
Feller, W.: An introduction to probability theory and its applications, 1, Wiley, 1968.
Petrov, V.V.: Sums of independent random variables, Springer, 1975 (translated from the Russian).
Laplace, P.S.: Théorie analytique des probabilités, Paris, 1812.
Pol, B. van der and Bremmbr, H.: Operational calculus based on the two-sided Laplace integral, Cambridge Univ. Press, 1955.
Bochner, S.: Lectures on Fourier integrals, Princeton Univ. Press, 1959 (translated from the German).
Ditkin, V.A. and Prudnkov, A.P.: Operational calculus, Moscow, 1966 (in Russian).
Ditkin, V.A. and Prudnkov, A.P.: Integral transforms and operational calculus, Moscow, 1974 (in Russian).
Doetsch, G.: Handbuch der Laplace-Transformation, 1-3, Birkhäuser, 1950-1956.
Vladmirov, V.S.: Generalized functions in mathematical physics, Moscow, 1976 (in Russian).
Zemanian, A.H.: Generalized integral transformations, Wiley, 1968.
Aĭzenshtat, V.S., Krylov, V.I. and Metel’skiĭ, A.S.: Tables for the numerical Laplace transform and the evaluation of integrals of the form \(\int_0^\infty {x^s e^{ - x} } f\left( x \right)dx\), Minsk, 1962 (in Russian).
Salzbr, H.E. and Zucker, R.: ‘Tables of the zeros and weight factors of the first fifteen Laguerre polynomials’, Bull Amer. Math. Soc. 55 (1949), 1004–1012.
Pal’tsev, A.A. and Skoblya, N.S.: ‘The integration of bounded functions with a Laguerre weight’, Izv. Akad. Nauk BSSR Ser. Fiz. Mat. Nauk 3 (1965), 15–23 (in Russian).
Krylov, V.I. and Skoblya, N.S.: Handbook of numerical inversion of Laplace transforms, Israel Program Sci. Transi., 1969 (translated from the Russian).
Krylov, V.I. and Skoblya, N.S.: Handbook of methods of approximate Fourier transformation and inversion of Laplace transformation, Mir, 1977 (translated from the Russian).
Oberhetitnger, F. and Badii, L.: Tables of Laplace transforms, Springer, 1973.
Sneddon, I.N.: The use of integral transforms, McGraw-Hill, 1972.
Widder, D.V.: The Laplace transform, Princeton Univ. Press, 1972.
Doetsch, G.: Introduction to the theory and application of the Laplace transformation, Springer, 1974 (translated from the German).
Wolff, K.B.: Integral transforms in science and engineering, Plenum, 1979.
Tzitzeica, G.: Géométrie différentielle projective des réseaux, Gauthier-Villars & Acad. Roumaine, 1924.
Bazylev, V.T.: ‘Multidimensional nets and their transformations’, Itogi Nauk. Geom. 1963 (1965), 138-164 (in Russian).
Finikow, S.P. [S.P. Finikov]: Theorie der Kongruenzen, Akad. Verlag, 1959 (translated from the Russian).
Hermann, J.: Giornale de Letterati d’Italia, Venice 2 (1710), 447–467.
Laplace, P.: Celestial mechanics, 1, Chelsea, reprint, 1966 (translated from the French).
Volk, O.: ‘Miscellanea from the history of celestial mechanics II’, Celestial Mech. 14 (1976), 365–382.
Duboshin, G.N.: Celestial mechanics. Fundamental problems and methods, Moscow, 1975 (in Russian).
Popov, V.S.: Higher energy physics and the theory of elementary particles, Kiev, 1967, pp. 702-727 (in Russian).
Belotserkovskĭ, O.M. and Davydov, Yu.M.: The method of large particles in gas dynamics. Numerical experiments, Moscow, 1982 (in Russian).
Davydov, Yu.M.: ‘Calculation by the “coarse particle” method of the flow past a body of arbitrary shape’, USSR Comp. Math. Math. Phys. 11, no. 4 (1972), 304–312. (Zh. Vychisl Mat. Mat. Fiz. 11, no. 4 (1972), 1056-1063)
Marchuk, G.I.: Methods of numerical mathematics, Springer, 1975 (translated from the Russian).
Davydov, Yu.M.: Differential approximations and representations of difference schemes, Moscow, 1981 (in Russian).
Prachar, K.: Primzahlverteilung, Springer, 1957.
Davenport, H.: Multiplicative number theory, Springer, 1980.
Halberstam, H. and Richert, H.-E.: Sieve methods, Acad. Press, 1974.
Bombieri, E.: ‘Le grand crible dans la théorie analytique des nombres’, Astérisque 18 (1974).
Tamm, I.E.: Foundations of electricity theory, Moscow, 1957 (in Russian).
Landau, L.D. and Lifshitz, E.M.: The classical theory of fields, Addison-Wesley, 1951 (translated from the Russian).
Clemmow, P.C. and Dougherty, J.P.: Electrodynamics of particles and plasmas, Addison-Wesley, 1969.
Lasker, E.: ‘Zur Theorie der Moduln und Ideale’, Math. Ann. 60 (1905), 19–116.
Noether, E.: ‘Idealtheorie in Ringbereiche’, Math. Ann. 83 (1921), 24–66.
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Riordan, J.: An introduction to combinatorial analysis, Wiley, 1967.
Sachkov, V.N.: Combinatorial methods of discrete mathematics, Moscow, 1977 (in Russian).
Dênes, J. and Kebdwell, A.D.: Latin squares and their applications, Acad. Press, 1974.
Hali, M.: Combinatorial theory, Blaisdell, 1967.
Ruser, H.J.: Combinatorial mathematics, Carus Math. Monogr., 14, Math. Assoc. Amer, 1963.
Wilson, R.M.: ‘Nonisomorphic Steiner triple systems’, Math. Z. 136 (1974), 303–313.
Shor, P.W.: ‘A lower bound for the length of a partial transversal in a Latin square’, J. Comb. Theory (A) 33 (1982). 1–8.
Smetaniuk, B.: ‘A new construction of Latin squares I: A proof of the Evans conjecture’. Ars. Comb. 11 (1981). 155–172.
Jungnickel, D.: ‘Lateinische Quadrate, ihre Geometrien und ihre Gruppen’. Jahresber. Deutsch. Math. Verein. 86 (1984). 69–108.
Penfold Street, A. and Street, D.J.: Combinatorics of experimental design, Clarendon Press. 1987.
Bnrkhoff, G.: Lattice theory, Colloq. Publ., 25, Amer. Math. Soc., 1973.
Grgtzer, G.: Generai lattice theory, Birkhftuser, 1978.
Saliĭ, V.N.: Lectures on lattice theory, Saratov, 1970 (in Russian).
Skornyakov, L.A.: Complemented modular lattices and regular rings, Oliver & Boyd, 1964 (translated from the Russian).
Skornyakov, L.A.: Elements of lattice theory, A. Hilger, 1977 (translated from the Russian).
Skornyakov, L.A.: ‘Lattice theory’, Itogi Nauk Algebra, 1964 (1966), 237-274.
Glukhov, M.M., Stelletskiĭ, I.V. and Fofanova, T.S.: ‘Lattice theory’, Progress in Math. 12 (1972), 111–170. (Itogi Nauk. Algebra Topol. Geom. 1968 (1910), 101-154)
‘Ordered sets and lattices’, Vol. 3 & 7, Saratov, 1975 & 1983 (in Russian).
Blyth, T. and Janowitz, M: Residuation theory, Pergamon, 1972.
Ordered sets and lattices, Bratislava 1985, Bratislava, 1989 (in Russian).
Saliĭ, V.N.: Lattices with unique complements, Moscow, 1984 (in Russian).
Beran, L.: Orthomodular lattices, Reidei, 1985.
Gierz, G., Hofman, K.H., Keimel, K., Lawson, J.D., Mislove, M. and Scott, D.: A compendium of continuous lattices, Springer, 1980.
Kalmbach, G.: Orthomodular lattices, Acad. Press, 1983.
Kalmbach, G.: Measures and Hilbert lattices, World Scientific, 1986.
McKenzie, R.M., McNulty, G. and Taylor, R.: Algebras, lattices, varieties, 1, Wadsworth, 1987.
Schmidt, E.T.: A survey on congruence lattice representations, Teubner, 1982.
Feit, W.: ‘An interval in the subgroup lattice of a finite group which is isomorphic to M 7’, Alg. Univ. 17 (1983), 220–221.
Galian, R.: Theoriá de la dimensión, Madrid, 1979.
Isbell, J.: ‘Graduation and dimension in locales’, in I.H. James and E.H. Kronheimer (eds.): Aspects of topology: in memory of Hugh Dowker, Lecture notes London Math. Soc., Vol. 93, Cambridge Univ. Press, 1985, pp. 195–210.
Palfy, P.P. and Pudlák, P.: ‘Congruence lattices of finite algebras and intervals in subgroup lattices of finite groups’, Alg. Univ. 11 (1980), 22–27.
Schröder, E.: Verlesungen über die Algebra der Logik, Teubner, 1890.
Dedekind, R.: ‘Ueber die von drei Moduln erzeugte Dualgruppe’, Math. Ann. 53 (1900). 371–403.
Birkhoff, G.: ‘On the combination of subalgebras’, Proc. Cambridge Philos. Soc. 29 (1933), 441–464.
Ore, O.: ‘On the foundation of abstract algebra I’, Ann. of Math. 36 (1936), 406–437.
Ore, O.: ‘On the foundation of abstract algebra II’, Ann. of Math. 37 (1936), 266–292.
Gnedenko, B.V.: The theory of probability, Chelsea, reprint, 1962 (translated from the Russian).
Petrov, V.V.: Sums of independent random variables, Springer, 1975 (translated from the Russian).
Prokhorov, Yu.V. and Rozanov, Yu. A.: Probability theory, Springer, 1969 (translated from the Russian)
Feller, W.: An introduction to probability theory and its applications, 1-2, Wiley, 1957-1971.
Lukacs, E: Characteristic functions, Griffin, 1970.
Johnson, N.L. and Kotz, S.: Distributions in statistics: discrete distributions, Miffiin, 1969.
Morris, S.: Pontryagin duality and the structure of locally compact Abelian groups, Cambridge Univ. Press, 1977.
Gassels, J.W.S.: An introduction to the geometry of numbers, Springer, 1972.
Erdæs, P., Gruber, P.M. and Hammer, J.: Lattice points, Longman, 1989.
Gruber, P.M. and Lekkbrkerker, C.G.: Geometry of numbers, North-Holland, 1987.
Gruber, P.M. and Wills, J.M. (eds.): Handbook of convex geometry, North-Holland, Forthcoming.
Kannan, R. and Lovasz, L.: ‘Covering minima and lattice-point-free convex bodies’, Ann. of Math. 128 (1988), 577–602.
Birkhoff, G.: Lattice theory, Colloq. Publ., 25, Amer. Math. Soc, 1973.
Fuchs, L.: Partially ordered algebraic systems, Pergamon, 1963.
Anderson, M. and Feil, T.: Lattice-ordered groups. An introduction, Reidel, 1988.
Glass, A.M.W. and Holland, W. Ch. (eds.): Lattice-ordered groups. Advances and techniques, Kluwer, 1989.
Martinez, J. (ed.): Ordered algebraic structures, Kluwer, 1989.
Birkhoff, G.: Lattice theory, Colloq. Publ., 25, Amer. Math. Soc., 1973.
Skornyakov, L.A.: Elements of lattice theory, A. Hilger, 1977 (translated from the Russian).
Skornyakov, L.A.: Complemented modular lattices and regular rings, Oliver & Boyd, 1964 (translated from the Russian).
Grillet, P.A. and Varlet, J.C.: ‘Complementedness conditions in lattices’, Bull Soc. Roy. Sci. Liège 36, no. 11–12 (1967), 628–642.
Beran, L.: Orthomodular lattices, Reidel, 1985.
Grätzer, G.: Lattice theory, Freeman, 1971.
Dubreil-Jacotin, M.L, Lesieur, L. and Croiset, R.: Leçons sur la théorie des treilles, Gauthier-Villars, 1953.
Markushevich, A.I.: Theory of functions of a complex variable, 1, Chelsea, 1977, Chapt. 4 (translated from the Russian).
Shabat, B.V.: Introduction to complex analysis, Moscow, 1976, Vol. 1, Chapt 2; Vol 2, Chapt. 1 (in Russian).
Hutchins, H.C.: Examples of commutative rings, Polygonal, 1981.
Cohn, P.M.: Skew field constructions, Cambridge Univ. Press, 1977.
Ahlfors, L.V.: Complex analysis, McGraw-Hill, 1979.
Hormander, L.: An introduction to complex analysis in several variables, North-Holland, 1973.
Titchmarsh, E.C: The theory of functions, Oxford Univ. Press, 1979.
Lavrentieff, M. [M.A. Lavrent’ev]: ‘Contribution à la théorie des ensembles homécmx>rphes’ Fund Math. 6 (1924), 149–160.
Lavrbnt’ev, M.A: Izv. Akad. Nauk SSSR Ser. Mat. 12, no. 6 (1948), 513–554.
Lavrbnt’ev, M.A: ‘On the theory of conformai mapping’, Tr. Fiz.-Mat. Inst Akad. Nauk SSSR, Otdel. Mat. 5 (1934), 195–245 (in Russian).
‘Mikhaĭl Akkseevieh Lavrent’ev’, in Bibliography of Soviet Scientists, Mathematics Series, Vol. 12, Acad. Sci. USSR, Moscow, 1971 (in Russian).
Aarts, J.: ‘Completeness degree, a generalization of dimension’, Fund. Math. 63 (1968), 28–41.
Chapman, T.A.: ‘Dense σ-compact subsets of infinite-dimensional manifolds’. Trans. Amer. Math. Soc. 154 (1971), 399–426.
Douwen, E.K. van: ‘A compact space with a measure that knows which sets are homeomorphic’, Adv. Math. 52 (1984), 1–33.
Engelking, R.: General topology, Heldermann, 1989.
Mill, J. van: ‘Domain invariance in infinite-dimensional linear spaces’, Proc. Amer. Math. Soc. 101 (1987), 173–180.
Mergelyan, S.N.: ‘On a theorem of MA Lavrent’ev’, Transil. Amer. Math. Soc. 3 (1962), 281–286. (Dokl. Akad. Nauk SSSR 77 (1951), 565-568)
Mergelyan, S.N.: ‘On the representation of functions by series of polynomials on closed sets’, Transi. Amer. Math. Soc. 3 (1962), 287–293. (Dokl. Akad. Nauk SSSR 78 (1951), 405-408)
Collingwood, E.F. and Lohwater, A.J.: The theory of cluster sets, Cambridge Univ. Press, 1966.
Cesari, L.: Optimization theory and applications, Springer, 1983, Sect. 18.5.
Lavrentiev, M. [M. A. Lavrent’ev]: ‘Sur quelques problèmes du calcul des variations’, Ann. Mat. Pura Appl. 4 (1926), 7–28.
Davis, Ph. J.: Interpolation and approximation, Dover, reprint, 1975, p. 278ff.
Lavrent’ev, M.A: Variational methods for boundary value problems for systems of elliptic equations, Noordhoff, 1963 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. Algebra: Modules. Rings. Forms, 2, Addison-Wcsley, 1975, Chapt 4; 5; 6 (translated from the French).
Lang, S.: Algebra, Addison-Wcslcy, 1974.
Artin, E.: Geometric algebra, Interscience, 1957.
Milnor, J. and Husemoller, D.: Symmetric bilinear forms, Springer 1973.
Bernoulli, J.: ‘Ars conjcctandi’, in Werke, Vol. 3, Birkhäuser, 1975, pp. 107–286.
Poisson, S.-D.: Récherches sur la probabilité des jugements en matière criminelle, etc., Paris, 1837.
Chebyshev, P.L.: Oeuvres de PL Chebyshev, 2, Chelsea, 1961.
Markov, A.A.: Wahrscheinlichkeitsrechnung, Berlin, 1912 (translated from the Russian).
Bernshteĭn, S.N.: Probability theory, Moscow-Leningrad, 1946 (in Russian).
Gnedenko, B.V. and Kolmooorov, A.N.: Limit distribution for sums of independent random variables, Addison-Wesley, 1954 (translated from the Russian).
Doob, J.L.: Stochastic processes, Chapman and Hall & Wiley, 1953.
Grenander, U.: Probabilities on algebraic structures, Wiley, 1963.
Khinchin, A. Ya.:’ symmetric functions on multi-dimensional surfaces’, in To the memory of A.A. Adronov, Moscow, 1955, pp. 541-574 (in Russian).
Loeve, M: Probability theory, Princeton Univ. Press, 1963.
Uspensky, J.V.: Introduction to mathematical probability, McGraw-Hill, 1937.
Bernoulli, J.: On the law of large numbers, Moscow, 1986 (in Russian).
Révész, P.: The laws of large numbers, Acad. Press, 1968.
Hoffman-Jørgensen, J. and Pisier, G.: ‘The law of large numbers and the central limit theorem in Banach spaces’, Ann. Prob. 4 (1976), 587–599.
Hall, P. and Heyde, C.C.: Martingale limit theory and its application, Acad. Press, 1980.
Dalen, D. van (ed.): Brouwer’s Cambridge lectures on intuitionism, Cambridge Univ. Press, 1981.
Kolmogoroff, A.N. [A.N. Kolmogorov]: ‘Ueber das Gesetz des iterierten Logarithmus’, Math. Ann. 101 (1929), 126–135.
Khintchine, A. [A.Ya. Khinchin]: ‘Ueber einen Satz der Wahrscheinlichkeitsrechnung’, Fund Math. 6 (1924), 9–20.
Marcinkiewicz, J. and Zyomund, A.: ‘Rémarque sur la loi du logarithme itéré’, Fund Math. 29 (1937), 215–222.
Feller, W.: ‘The general form of the so-called law of the iterated logarithm’, Trans. Amer. Math. Soc. 54 (1943), 373–402.
Strassen, V.: ‘An invariance principle for the law of the iterated logarithm’, Z. Wahrsch, Verw. Geb. 3 (1964), 211–226.
Strassen, V.: ‘A converse to the law of iterated logarithm’, Z. Wahrsck Verw. Geb. 4 (1965-1966), 265–268.
Hartman, P. and Wintner, A.: ‘On the law of the iterated logarithm’, Amer. J. Math. 63 (1941), 169–176.
Lamperty, J.: Probability, Benjamin, 1966.
Petrov, V.V.: Sums of independent random variables, Springer, 1975 (translated from the Russian).
Hall, P. and Heyde, C.C: Martingale limit theory and its application, Acad. Press, 1980.
Feller, W.: An introduction to probability theory and its applications, 1, Wiley, 1968.
Loève, M.: Probability theory, Princeton Univ. Press, 1963.
Vinogradov, I.M: Elements of number theory, Dover, 1954 (translated from tue Russian)
Bukhshtab, A.A.: Number theory, Moscow, 1966 (in Russian).
Faure, R., Kaufmann, A. and Denis-Papin, M.: Mathématique nouvelles, 1-2, Dunod, 1964.
Lehmann, E.: Testing statistical hypotheses, Wiley, 1986.
Zachs, S.: Theory of statistical inference, Wiley, 1971.
Rogers, jr., H.: Theory of recursive functions and effective computability, McGraw-Hill, 1967.
Markov, AA.: Wahrscheinlichkeitsrechung, Teubner, 1912 (translated from the Russian).
Kolmooorov, A.N.: ‘On substantiation of the method of least squares’, Uspekhi Mat. Nauk 1, no. 1 (1946), 57–70 (in Russian).
Linnk, Yu. V.: Methode der kleinste Quadraten in moderner Darstellung, Deutsch. Verlag Wissenschaft, 1961 (translated from the Russian).
Nalmov, V.V.: The application of mathematical statistics to chemical analysis, Pergamon, 1963 (translated from the Russian).
Helmert, F.R.: Die Ausgleichungsrechnung nach der Methode der kleinsten Quadrate, Teubner, 1907.
Stigler, S.M.: The history of statistics, Harvard Univ. Press, 1986.
Draper, N.R. and Smith, H.: Applied regression analysis, Wiley, 1981.
Rao, C.R.: Linear statistical inference and its applications, Wiley, 1965.
Daniel, C. and Wood, F.S.: Fitting equations to data: computer analysis of multifactor data for scientists and engineers, Wiley, 1971.
Lebedev, N.N.: ‘On an integral representation of an arbitrary function in terms of squares of MacDonald functions with imaginary index’, Sibirsk. Mat. Zk. 3, no. 2 (1962), 213–222 (in Russian).
Lebedev, N.N.: Special functions and their applications, Prentice-Hall, 1965 (translated from the Russian).
Sneddon, I.N.: The use of integral transforms, McGraw-Hill, 1972.
Cheney, E.W.: Introduction to approximation theory, McGraw-Hill, 1966, Chapts. 4&6.
Rivlin, T.J.: An introduction to the approximation of functions, Blaisdell, 1969.
Kilgorb, T.A.: ‘A characterization of the Lagrange interpolation projection with minimal Tchebycheff norm’, J. Approx. Theory 24 (1978), 273–288.
Rivun, T.J.: An introduction to the approximation of functions, Blaisdell. 1969, Sect. 4.2.
Lebesgub, H.: ‘Récherches sur le convergence des séries de Fourier’, Math. Ann. 61 (1905), 251–280.
Bary, N.K. [N.K. Bari]: A treatise on trigonometric series, Pergamon, 1964 (translated from the Russian).
Zygmund, A.: Trigonometric series, 1–2, Cambridge Univ. Press, 1988.
Lbbesgue, H.: Leçons sur l’intégration et la récherche des fonctions primitives, Gauthier-Villars, 1928.
Natanson, LP.: Theorie der Funktionen einer reellen Veränderlichen, H. Deutsch, 1961 (translated from the Russian).
Halmos, P.: Measure theory, v. Nostrand, 1950.
Halmos, P.: Measure theory, v. Nostrand, 1950.
Dunford, N. and Schwartz, J.T.: Linear operators, 1-3, Interscience, 1958–1971.
Lebesoub, H.: ‘Sur la non-applicabilité de deux domaines appartenant à des espaces à n et n +p dimensions’, Math. Ann, 70 (1911), 166–168.
Brouwer, L.E.J.: ‘Ueber den natürlichen Dimensionsbegriff’, J. Reine Angew. Math. 142 (1913), 146–152.
Aleksandrov, P.S. and Pasynkov, B.A.: Introduction to dimension theory, Moscow, 1973 (in Russian).
Engelking, R.: Dimension theory, PWN & North-Holland, 1978.
Hurewicz, W. and Wallman, H.: Dimension theory, Princeton Univ. Press, 1941.
Kaczmarz, S. and Steinhaus, H.: Theorie der Orthogonalreihen, Chelsea, reprint, 1951.
Zygmund, A.: Trigonometric series, 1-2, Cambridge Univ. Press 1988.
Rivlin, T.J.: An introduction to the approximation of functions, Blaisdell, 1969, Sect. 4.1.
Lebesgue, H.: Leçons sur l’intégration et la récherche des fonctions primitives, Gauthier-Villars, 1928.
Luzin, N.N.: The integral and trigonometric series, Moscow-Leningrad, 1951 (in Russian).
Kolmogorov, A.N. and Fomin, S.V.: Elements of the theory of functions and functional analysis, 1-2, Graykxk, 1957-1961 (translated from the Russian).
Halmos, P.: Measure theory, v. Nostrand, 1950.
Pesin, I.N.: Classical and modern integration theories, Acad. Press, 1970 (translated from the Russian).
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Royden, H.: Real analysis, Macmillan, 1968.
Rudin, W.: Real and complex analysis, McGraw-Hill, 1978.
Hewitt, H. and Stromberg, K.: Real and abstract analysis, Spinger, 1965.
Lebesoue, H.: Intégrale, longeur, aire, Univ. Paris, 1902. Thesis.
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Halmos, P.: Measure theory, v. Nostrand, 1950.
Kolmogorov, A.N. and Fount, S.V.: Elements of the theory of functions and functional analysis, 1-2, Graylock, 1957–1961 (translated from the Russian).
Hewitt, E. and Stromberg, K.: Real and abstract analysis, Springer, 1965.
Kolmooorov, A.N. and Fomin, S.V.: Elements of the theory of Junctions and functional analysis, 1-2, Graylock, 1957–1961 (translated from the Russian).
Stein, E.M.: Singular integrals and differentiability properties of functions, Princeton Univ. Press, 1970.
Stein, E.M: Singular integrals and differentiability properties of functions, Princeton Univ. Press, 1970.
Rudin, W.: Real and complex analysis, McGraw-Hill, 1978.
Halmos, P.R. and Neumann, J. von: ‘Operator methods in classical mechanics. II’, Ann. of Math 43, no. 2 (1942), 332–350.
Rokhlin, V.A.: ‘On mean notions of measure theory’, Mat. Sb. 25, no. 1 (1949), 107–150 (in Russian).
Habzendonck, J.: ‘Abstract Lebesgue—Rokhlin spaces’, Bull. Soc. Math. Belg. 25, no. 3 (1973), 243–258.
Cornfeld, I.P. [I.P. Kornfel’d], Fomin, S.V. and Sinai, Ya.G.: Ergodic theory, Springer, 1982, Appendix 1 (translated from the Russian).
Helson, H.: The spectral theorem, Springer, 1986.
Kamkb, E.: Dos Lebesgue—Stieltjes-Integral, Teubner, 1960.
Hewitt, E. and Stromberg, K.: Real and abstract analysis. Springer, 1965.
Lebesgub, H.: Leçons sur les séries trigonométriques, Gauthier-Villars, 1906.
Bary, N.K. [N.K. Bari]: A treatise on trigonometric series, Pergament, 1964 (translated from the Russian).
Engelking, R.: Dimension theory, PWN & North-Holland, 1978.
Hurewicz, W. and Wallman, H.: Dimension theory, Princeton Univ. Press, 1941.
Kuratowski, C: Introduction to set theory and topology, Pergamon, 1972 (translated from the Polish).
Lebesgub, H.: ‘Sur les intégrales singuliéres’, Ann. Foc. Sci. Univ. Toulouse Sci. Math. Sci Phys. 1 (1909), 25–117.
Lebesgub, H.: Intégrale, longueur, aire, Univ. Paris, 1902. Thesis.
Levi, B.: ‘Sopra l’integrazione delle serie’, Rend Ist. Lombardo sue Lett. (2) 39 (1906), 775–780.
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Natanson, I.P.: Theory of functions of a real variable, 1-2, F. Ungar, 1955–1961 (translated from the Russian).
Dunford, N. and Schwartz, J.T.: Linear operators, 1-3, Interscience, 1968-1971.
Halmos, P.: Measure theory, v. Nostrand, 1950.
Hewitt, E and Stromberg, K.: Real and abstract analysis, Springer, 1965.
Lebch, J.: ‘Note on sphere packings’, Canad. J. Math. 19 (1967), 251–267.
Griess, R.L.: ‘The friendly giant’, Invent. Math. 69 (1982), 1–102.
Conway, J.H. and Sloanb, N.J.A.: Sphere packings, lattices and groups, Springer, 1988.
Gruper, P.M. and Lekkerkerker, C.G.: Geometry of numbers, North-Holland, 1987.
Erdös, P., Gruber, P.M. and Hammer, J.: Lattice points, Longman, 1989.
Thompson, T.M.: From error-correcting codes through sphere packings to simple groups, Math. Assoc. Amer., 1983.
Lefschetz, S.: ‘Manifolds with a boundary and their transformations’, Trans. Amer. Math. Soc. 29 (1927), 429–462.
Maunder, C.R.F.: Algebraic topology, Cambridge Univ. Press, reprint, 1980.
Iversbn, B.: Cohomology of sheaves, Springer, 1986.
Lefschetz, S.: ‘Intersections and transformations of complexes and manifolds’, Trans, Amer, Soc. 28 (1926), 1–49.
Lefschetz, S.: ‘The residual set of a complex manifold and related questions’, Proc Nat. Acad. Sci. USA 13 (1927), 614–622.
Lefschetz, S.: ‘On the fixed point formula’, Ann. of Math. (2) 38 (1937), 819–822.
Kleimman, S.L.: ‘Algebraic cycles and the Weil conjectures’, in J., et al. Giraud (ed.): Dix exposés sur la cohomologie des schémas, North-Holland & Masson, 1968, pp. 359-386.
Griffiths, P. and Harris, J.: Principles of algebraic geometry, Wiley, 1978.
Deligne, P.: Cohomologie étale. SGA 41/2, Lecture notes in math., 569, Springer, 1977.
Grothendibck, A.: Cohomologie l-adique et fonctions L. SGA 5, Lecture notes in math., 589, Springer, 1977.
Dold, A.: Lectures on algebraic topology, Springer, 1980.
Seifert, H. and Threlfall, W.: A textbook of topology, Acad. Press, 1980 (translated from the German).
Feitag, E. and Kiehl, R.: Etale cohomology and the Weil conjecture, Springer, 1988.
Dugundji, J. and Granas, A.: Fixed point theory, PWN, 1982.
Greenberg, M.J. and Harper, J.R.: Algebraic topology, a first course, Benjamin Cummings, 1981.
Lefschetz, S.: L’analysis situs et la géométrie algébrique, Gauthier-Villars, 1950.
Lefschetz, S.: ‘On certain numerical invariants of algebraic varieties with applications to Abelian varieties’, Trans. Amer. Math. Soc. 22 (1921), 327–482.
Lefschetz, S.: ‘On the fixed point formula’, Ann. of Math. (2) 38 (1937), 819–822.
Berthelot, P.: Cohomologie cristalline des schémas de caractéristique p>0, Springer, 1974.
Deligne, P. and Katz, N.: Groupes de monodromie en géométrie algébrique, SGA 72, Springer, 1973.
Griffiths, P. and Harris, J.: Principles of algebraic geometry, Wiley, 1978.
Grothendieck, A.: Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux, SGA 2, North-Holland & Masson, 1968.
Hartshorne, R.: Ample subvarieties of algebraic varieties, Springer, 1970.
Mumford, D.: Abelian varieties, Oxford Univ. Press, 1974.
Milnor, J.: Morse theory, Princeton Univ. Press, 1963.
Wells, jr., R.O.: Differential analysis on complex manifolds, Springer, 1980.
Chern, S.S.: Complex manifolds without potential theory, Springer, 1979.
Weil, A.: Introduction à l’étude des variétés kahlériennes, Hermann, 1958.
Delignb, P.: ‘La conjecture de Weil’, Publ. Math. IHES 43 (1974), 273–307.
Lamotke, K.: ‘The topology of complex projective varieties after S. Lefschetz’, Topology 20 (1981), 15–51.
Delignb, P.: ‘La conjecture de Weil II’, Publ. Math. IHES 52 (1980), 137–252.
Greenberg, M.J. and Harper, J.R.: Algebraic topology, a first course, Benjamin Cummings, 1981.
Milne, J.: Etale cohomology, Princeton Univ. Press, 1980.
Goresky, M. and MacPherson, R.: Stratified Morse theory, Springer, 1988.
Beĭlinson, A., Bernstein, J. and Delignb, P.: ‘Faisceaux pervers’, Astérisque 100 (1982).
Lavrent’bv, M.A. and Lyusternik, L.A.: A course in variational calculus, Moscow-Leningrad, 1950 (in Russian).
Bliss, G.A.: Lectures on the calculus of variations, Chicago Univ. Press, 1947.
Bryson, A.E. and Ho, Y.-C: Applied optimal control, Blaisdell, 1969.
Kelley, H.J., Kopp, R.E. and Moyer, H.G.:’ singular extremals’, in G. Leitmann (ed.): Topics of Optimization, Acad. Press, 1967, pp. 63-101.
Akhiezer, N.I.: The calculus of variation, Blaisdell, 1962 (translated from the Russian).
Cesari, L.: Optimization: theory and applications: problems with ordinary differential equations, Springer, 1983.
Abramowitz, M and Stegun, I A.: Handbook of mathematical functions, Dover, reprint, 1965, Chapt. 8.
Lebedev, N.N.: Special functions and their applications, Dover, reprint, 1972 (translated from the Russian).
Arnol’d, V.I.: Mathematical methods of classical mechanics, Springer, 1978 (translated from the Russian).
Arnold, V.I. [V.I. Arnol’d] and Giventhal, A.B. [A.B. Givent’al]: Symplectic geometry, Dynamical Systems, IV, Springer, 1989, Chapt 4 (translated from the Russian).
Arnol’d, V.I., Gusein-Zade, S.M and Varchenko, A.N.: Singularities of differentiable maps, 1, Birkhäuser, 1985, Chapt. 20 (translated from the Russian).
Lie, S.: Theorie der Transformationsgruppen, II, Teubner, 1930.
Legendre, A.M.: Mém. Math. Phys. présentés à l’Acad. Sci. par divers savants 10 (1785), 411–434.
Hobson, E.W.: The theory of spherical and ellipsoidal harmonics, Cambridge Univ. Press, 1931.
Vinogradov, I.M.: Elements of number theory, Dover, 1954 (translated from the Russian).
Hardy, G.H. and Wright, E.M.: Introduction to the theory of numbers, Oxford Univ. Press, 1979.
Borevich, Z.I. and Shafarevich, I.R.: Number theory, Acad. Press, 1966, Chapt 1. Par. 7 (translated from the Russian).
Kagan, V.F.: The foundations of geometry, 1, Moscow-Leningrad, 1949 (in Russian).
Pogorelov, A.V.: Lectures on the foundations of geometry, Noordhoff, 1966 (translated from the Russian).
Efimov, N.V.: Höhere Geometrie, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian).
Norden, A.P.: Elementare Einführung in die Lobatschewskische Geometrie, Deutsch. Verlag Wissenschaft., 1958 (translated from the Russian).
Fichtenholz, G.M.: Differential und Integralrechnung, 1, Deutsch. Verlag Wissenschaft, 1964.
Goursat, E: Course d’analyse mathématique, 1, Gauthier-Villars, 1918.
Arnol’d, V.I.: Mathematical methods of classical mechanics, Springer, 1978 (translated from the Russian).
Rockafellar, R.T.: Convex analysis, Princeton Univ. Press, 1970.
Fenchel, W.: ‘On conjugate convex functions’, Canad. J. Math. 1 (1949), 73–77.
Carathéodory, C.: Variationsrechnung und partielle Differentialgleichungen erster Ordnung, Teubner, 1956.
Courant, R. and Hilbert, D.: Methods of mathematical physics, II, Interscience, 1962 (translated from the German).
Tranter, C.J.: ‘Legendre transforms’, Quart. J. Math. 1 (1950), 1–8.
Brychkov, Yu.A. and Prudnikov, A.P.: ‘Operational calculus’, Progress in Math. 1 (1968), 1–74. (Itogi Nauk. Mat. Anal. 1966 (1967), 7-82)
Knopp, K.: Theorie und Anwendung der unendlichen Reihen, Springer, 1964. English translation: Blackie, 1951.
Knopp, K.: Theorie und Anwendung der unendlichen Reihen, Springer, 1964. English translation: Blackie, 1951.
Whtttaker, E.X and Watson, G.N.: A course of modern analysis, Cambridge Univ. Press, 1952, Chapt 2.
Gomes Teixeira, F.: Traité des courbes, 1-3, Chelsea, reprint, 1971.
Markushevich, A.I.: Theory of functions of a complex variable, 1, Chelsea, 1977 (translated from the Russian).
Walsh, J.L.: Interpolation and approximation by rational functions in the complex domain, Amer. Math. Soc., 1965.
Berger, M.: Geometry, Springer, 1987 (translated from the French).
Blumenthal, L. and Menger, K.: Studies in geometry, Freeman. 1970.
Busemann, H.: The geometry of geodesics, Acad. Press, 1955.
Ahlfors, L.W.: ‘Untersuchungen zur Theorie der konformen Abbildung und der ganzen Funktionen’, Acta Soc. Sci. Fennica (Al) 9 (1930), 1–40.
Hayman, W.K.: Multivalent functions, Cambridge Univ. Press, 1958.
Nevanlinna, R.: Analytic junctions, Springer, 1970 (translated from the German).
Suvorov, G.D.: Families of plane topological mappings, Novosibirsk, 1965 (in Russian).
Kreĭn, M.A.: Mat. Sb. 9, no. 3 (1941), 713–719.
Ovchinnikov, I.S.: ‘An inequality of the type of the length-area principle for mappings that leave certain integral functionals in n-dimensional space bounded’, in Metric questions of the theory of functions and mappings, Vol 3, Moscow, 1971, pp. 98–115 (in Russian).
Lelong-Ferrand, J.: Représentation conforme et transformations à intégrale de Dirichlet bornée, Gauthier-Villars, 1955.
Jenkins, J.A.: Univalent functions and conformal mapping, Springer, 1958.
Poincaré, H.: Selected work, Vol 2, Moscow, 1972, p. 728 (in Russian).
Rham, G. de: ‘Sur la théorie des intersections et les intégrales multiples’, Comm. Math. Heb. 4 (1932), 151–154.
Seifert, H. and Threlfall, W.: A textbook of topology, Acad. Press, 1980 (translated from the German).
Milnor, J. and Burlet, O.: ‘Torsion et type simple d’homotopie’, in A. Haefliger and R. Narasimhan (eds.): Essays on topology and related topics, Coll. Geneve, 1969, Springer, 1970, pp. 12-17.
Leray, J.: ‘Le calcul différentielle et intégrale sur une variété analytique complexe’, Bull. Soc. Math. France 87 (1959), 81–180.
Shabat, B.V.: Introduction to complex analysis, 2, Moscow, 1976 (in Russian).
Henkin, G.M. [G.M. Khenkin]: ‘Integral representations of functions holomorphic in strictly pseudoconvex domains and some applications’, Math. USSR Sb. 78 (1969), 611–632. (Mat. Sb. 7 (1969), 597-616)
Henkin, G.M. [CM. Khenkin] and Lbĭterer, J.L.: Theory of functions on complex manifolds, Birkhäuser, 1984.
Ramirez de Arellano, E: ‘Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis’, Math. Ann. 184 (1970), 172–187.
Range, R.M.: Holomorphic functions and integral representations in several complex variables, Springer, 1986.
Leray, J.: ‘L’anneau spectral et l’anneaux filtré d’homologie d’un espace localement compact et d’une application continue’, J. Math. Pures Appl. 29 (1950), 1–139.
Leray, J.: ‘L’homologie d’un espace fibré dont la fibre est connexe’, J. Math. Pures Appl. 29 (1950), 169–213.
Godement, R.: Topologie algébrique et théorie des faisceaux, Hermann, 1958.
Hu, S.-T.: Homotopy theory, Acad. Press, 1959.
Whitehead, G.W.: Elements of homotopy theory, Springer, 1978.
Serre, J.P.: ‘Homologie singulière des espaces fibrés. Applications’, Ann. of Math. (2) 54 (1951), 425–505.
Stoĭlov, S.: The theory of functions of a complex variable, 1, Moscow, 1962 (in Russian; translated from the Rumanian).
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969, Appendix (translated from the Russian).
Aleksandrov, I.A.: Parametric extensions in the theory of univalent functions, Moscow, 1976 (in Russian).
Dzyadyk, V.K.: ‘On a problem of S.M. Nikol’skfĭ in a complex region’, Izv. Akad. Nauk SSSR Mat. 23, no. 5 (1959), 697–763 (in Russian).
Lebedev, N.A. and Shirokov, N.A: ‘The uniform approximation of functions on closed sets with a finite number of angular points with non-zero exterior angles’, Izv. Akad Nauk Armen. SSR Ser. Mat. 6, no. 4 (1971), 311–341 (in Russian).
Bijvoets, L., Hogeveen, W. and Korevaar, J.: ‘Inverse approximation theorems of Lebedev and Tamrazov’, in P.L. Butzer (ed.): Functional analysis and approximation (Oberwolfach 1980), Birkhäuser, 1981, pp. 265-281.
Gaier, D.: Vorlesungen über Approximation im Komplexen, Birkhäuser, 1980, Chapt. 1, § 6.
Levi-Civita, T.: ‘Nozione di parallelismo in una varietá qualunquc e consequente specificazionc geometrica della curvatura riemanniana’, Rend Circ. Math. Palermo 42 (1917), 173–205.
Gromoll, D., Klingenberg, W. and Meyer, W.: Riemannsche Geometrie im Grossen, Springer, 1968.
Rashewski, P.K. [P.K. Rashevskiĭ]: Riemannsche Geometrie und Tensoranalyse, Deutsch. Verlag Wissenschaft, 1959 (translated from the Russian).
Klingenberg, W.: Riemannian geometry, de Gruyter, 1982.
Levi, E.E.: ‘Studii sui punti singolari essenziali delle funzioni analiticke de due o più variabili complesse’, Ann. Mat. Pura Appl. 17 (1910), 61–87.
Levi, E.E.: ‘Sulle ipersurficie dello spazio a 4 dimensione che possono essere frantiera del campo di esistenza di una funzione analitica di due variabili complesse’, Ann. Mat. Pura Appl. 18 (1911), 69–79.
Vladimirov, V.S.: Methods of the theory of functions of many complex variables, M.I.T., 1966 (translated from the Russian).
Shabat, B.V.: Introduction to complex analysis, 2, Moscow, 1976 (in Russian).
Gunning, R.C. and Rossi, H.: Analytic functions of several complex variables, Prentice-Hall, 1965.
Krantz, S.G.: Function theory of several complex variables, Wiley (Interscience), 1982.
Levi, E.E.: Atti. Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. 40 (1906), 3–17.
Mal’tsev, A.I.: ‘On the representation of an algebra as a direct sum of the radical and a semi-simple subalgebra’, Dokl. Akad. Nauk SSSR 36, no. 2 (1942), 42–45 (in Russian).
Jacobson, N.: Lie algebras, Interscience, 1962.
Kirillov, A.A.: Elements of the theory of representations, Springer, 1976 (translated from the Russian).
Naĭmark, M.A.: Theory of group representations, Springer, 1982 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Hochschild, G.: The structure of Lie groups, Holden-Day, 1965.
Levi, E.E.: ‘Sulle superficie dello spazio a 4 dimensione che possono essere frontiera del campo di esistenza di una funzione analitica di due variabili complesse’, Ann. Mat. Pura appl. 18 (1911), 69–79.
Onishchik, A.L.: ‘Stein spaces’, J. Soviet Math. 4, no. 5 (1975), 540–554. (Itogi Nauk. i Tekhn. Algebra Topol. Geom. 11 (1974), 125-151)
Onishchik, A.L.: ‘Pseudoconvexity in the theory of complex spaces’, J. Soviet Math. 14, no. 4 (1980), 1363–1407. (Itogi Nauk. i Tekhn. Algebra Topol. Geom. 15 (1977), 93-171)
Vladimirov, V.S.: Methods of the theory of functions of many complex variables, M.I.T., 1966 (translated from the Russian).
Gunning, R.C. and Rossi, H.: Analytic functions of several complex variables, Prentice-Hall, 1965.
Fuks, B.A.: Special chapters of the theory of analytic functions of several complex variables, Amer. Math. Soc., 1965 (translated from the Russian).
Shabat, B.V.: Introduction to complex analysis, 2, Moscow, 1976 (in Russian).
Suzuki, O.: ‘Pseudoconvex domains on a Kähler manifold with positive holomorphic, bisectional curvature’, Publ. Res. Inst. Math. Sci. Kyoto Univ. 12 (1976) 191–214; 439-445.
Kobayashi, S. and Wu, H.: Complex differential geometry, Birkhäuser, 1983.
Gnedenko, B.V. and Kolmogorov, A.N.: Limit distributions for sums of independent random variables, Addison-Wesley, 1954 (translated from the Russian).
Petrov, V.V.: Sums of independent random variables. Springer, 1975 (translated from the Russian).
Prokhorov, Yu.V. and Rozanov, Yu.A.: Probability theory, Springer, 1969 (translated Cram the Russian).
Gihman, I.I. [I.I. Gikhman] and Skorohod, A.V. [A.V. Skorokhod]: The theory of stochastic processes, Springer, 1975 (translated from the Russian).
Ito, K.: Stochastic processes, Aarhus Univ., 1969.
Loève, M.: Probability theory, 1, Springer, 1977.
Breiman, L.P.: Probability, Addison-Wesley, 1968.
Lukacs, E.: Characteristic functions, Griffin, 1970.
Heyer, H.: Probability measures on locally compact groups, Springer, 1977.
Parthasarathy, K.R.: Probability measures on metric spaces, Acad. Press, 1967.
Gnedenko, B.V. and Kolmogorov, A.N.: Introduction to the theory of random processes, Saunders, 1969 (translated from the Russian).
Lévy, P.: ‘Propriétés asymptotiqucs des sommes de variables aléatoires indépendantes ou enchainées’, J. Math. Pures Appl. 14 (1935), 347–402.
Cramér, H.: ‘Ueber eine Eigenschaft der normalen Verteilungsfunktion’, Math. Z. 41 (1936), 405–414.
Raĭkov, D.A.: ‘On the decomposition of a Poisson law’, Dokl. Akad. Nauk SSSR 14 (1937), 9–12 (in Russian).
Linnik, Yu.V.: ‘On the decomposition of the convolution of Gaussian and Poissonian laws’, Theory Probab. Appl. 2 (1957), 31–57. (Teor. Veroyatnost. i Primenen. 2 (1957), 34-59)
Sapogov, N.A: ‘On independent terms of a sum of random variables which is distributed almost normally’, Vestn. Leningr. Univ. Ser. Mat. Mekh. Astr. 14, no. 19 (1959), 78–105 (in Russian). English abstract.
Linnik, Yu.V. and Ostrovskiĭ, I.V.: Decomposition of random variables and vectors, Amer. Math. Soc., 1977 (translated from the Russian).
Fel’dman, G.M.: ‘On the decomposition of Gaussian distributions on groups’, Theory Probab. Appl. 22 (1977), 133–140. (Teor. Veroyatnost. i Primenen. 22 (1977), 136-143)
Linnik, Yu.V.: Decomposition of probability laws, Oliver and Boyd, 1964 (translated from the Russian).
Lukacs, E.: Characteristic functions, Griffin, 1960.
Lukacs, E and Laha, R.G.: Applications of characteristic functions, Griffin, 1964.
Rossberg, H.-J., Jesiah, B. and Siegel, G.: Analytic methods of probability theory, Akad. Verlag, 1985.
Lévy, P.: Théorie de l’addition des variables aléatoires, Gauthier-Villars, 1937.
Loève, M: Probability theory, Princeton Univ. Press, 1963.
Lévy, P.: Théorie de Paddition des variables aléatoires, Gauthier-Villars, 1937.
Zolotarev, V.M.: ‘Estimates of the difference between distributions in the Lévy metric’, Proc. Steklov Inst. Math. 112 (1973), 232–240. (Trudy Mat. Inst. Steklov. 112 (1971), 224-231)
Zolotarev, V.M. and Senatov, V.V.: ‘Two-sided estimates of Lévy’s metric’, Theor. Probab. Appl. 20 (1975), 234–245. (Teor. Veroyatnost. i Primenen. 20, no. 2 (1975), 239-250)
Linnik, Yu.V. and Ostrovskiĭ, I.V.: Decomposition of random variables and vectors, Amer. Math. Soc., 1977 (translated from the Russian).
Billingsley, P.: Convergence of probability measures, Wiley. 1968.
Hengartner, W. and Theodorescu, R.: Concentration functons, Acad. Press, 1973.
Loève, M.: Probability theory, van Nostrand, 1963, p. 178.
Prokhorov, Yu.V.: ‘Convergence of random processes and limit theorems in probability theory’, Theory Probab. Appl. 1 (1956), 157–214. (Teor. Veroyatnost. i Primenen. 1, no. 2 (1956), 177-238)
Dudley, R.M.: ‘Distances of probability measures and random variables’, Ann. Math. Stat. 39 (1968), 1563–1572.
Yurinskiĭ, V.V.: ‘A smoothing inequality for estimates of the Lévy—Prokhorov distance’, Theory Probab. Appl. 20 (1975), 1–10. (Teor. Veroyatnost. i Primenen. 20, no. 1 (1975), 3-12)
Abramov, V.A.: ‘Estimates for the Lévy—Prokhorov distance’, Theory Probab. Appl. 21 (1976), 396–400. (Teor. Veroyatnost i Primenen. 21, no. 2 (1976), 406-410)
Strassen, V.: ‘The existence of probability measures with given marginals’, Ann. Math. Stat. 36, no. 2 (1965), 423–439.
Billingsley, P.: Convergence of probability measures, Wiley, 1968.
Birkhoff, G.: Lattice theory, Colloq. PubL, 25, Amer. Math. Soc., 1973.
Kuratowski, K. and Mostowski, A.: Set theory, North-Holland, 1968.
Skornyakov, L.A.: Elements of lattice theory, A. Hilger, 1977 (translated from the Russian).
Cantor, G.: ‘Beiträge zur Begründung der transfiniten Mengenlehre I’, Math. Ann. 46 (1895), 481–512.
Cantor, G.: ‘Beiträge zur Begründung der transfiniten Mengenlehre II’, Math. Ann 49 (1897), 207–246.
Hausdorff, F.: Grundzüge der Mengenlehre, Leipzig, 1914. Reprinted (incomplete) English translation: Set theory, Chelsea (1978).
Debrbu, G.: Theory of values, Yale Univ. Press, 1959.
l’Hospital, G.F.: Analyse des infiniment petits pour l’intellligence des lignes courbes, Paris, 1696.
Nikol’skiĭ, S.M.: A course of mathematical analysis, 1, Mir, 1977 (translated from the Russian).
Shilov, G.: Mathematical analysis, M.I.T., 1974 (translated from the Russian).
Rudin, W.: Principles of mathematical analysis, McGraw-Hill, 1976.
Stromberg, K.: Introduction to classical real analysis, Wadsworth, 1981.
Albert, A.A.: ‘Power associative rings’, Trans. Amer. Math. Soc. 64 (1948), 552–593.
Myung, H.C.: Malcev-admissible algebras, Birkhäuser, 1986.
Laufer, P.J. and Tomber, M.L.: ‘Some Lie admissible algebras’, Canad. J. Math. 14 (1962), 287–292.
Myung, H.C.: ‘Some classes of flexible Lie-admissible algebras’, Trans. Amer. Math. Soc. 167 (1972), 79–88.
Okubo, S. and Myung, H.C.: ‘Adjoint operators in Lie algebras and the classification of simple flexible Lie-admissible algebras’, Trans. Amer. Math. Soc. 264 (1981), 459–472.
Benkart, G.M. and Osborn, J.M.: ‘Flexible Lie-admissible algebras’, J. of Algebra 71 (1981), 11–31.
Benkart, G.M.: ‘Power-associative Lie-admissible algebras’, J. of Algebra 90 (1984), 37–58.
Santilli, R.M.: Lie-admissible approach to the hadronic structure, II, Hadronic Press, 1982.
Santilli, R.M.: Foundations of theoretical mechanics, II, Springer, 1982.
Osborn, J.M.: ‘The Lie-admissible mutation A(r, s) of an associative algebra A’, Hadronic J. 5 (1982), 904–930.
Santilli, R.M.: ‘Imbedding of Lie algebras in nonassociative structures’, Nuovo Cimento A (10) 51 (1967), 570–576.
Okubo, S.: ‘Non-associative quantum mechanics via flexible Lie-admissible algebras’, in R. Casabuoni, G. Domokos and S. Koveski-Domokos (eds.): Proc. Third Workshop Current Problems in High Energy Physics, Johns Hopkins Univ. Press, 1979, pp. 103-120.
Okubo, S.: ‘Classification of flexible composition algebras, I, II’, Hadronic J. 5 (1982), 1564–1612.
Myung, H.C. and Sagle, A.A.: ‘Lie-admissible algebras and affine connections on Lie groups’, in S.A. Park (ed.): Proc. Workshops in Pure Math., Vol. 7. Algebraic Structures, Pure Math. Res. Assoc., 1988, pp. 115-148.
Kim, H.: ‘Complete left-invariant affine structures on nilpotent Lie groups’, J. Differential Geom. 24 (1986), 373–394.
Sagle, A.A.: ‘Invariant Lagrangian mechanics, connections, and non-associative algebras’, Algebras, Groups Geom. 3 (1986), 199–263.
Myung, H.C. and Sagle, A.A.: ‘On the construction of reductive Lie-admissible algebras’, J. Pure Appl. Algebra 53 (1988), 75–91.
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Jacobson, N: Lie algebras, Interscience, 1962.
Kaplansky, I.: Lie algebras and locally compact groups, Chicago Univ. Press, 1971.
Magnus, W., Karrass, A. and Solitar, D.: Combinatorial group theory: presentations of groups in terms of generators and relations. Interscience, 1966.
Pontryagin, L.S.: Topological groups, Princeton Univ. Press, 1958 (translated from the Russian).
‘Théorie des algèbres de Lie. Topologie des groupes de Lie’, in Sem. S. Lie, Ecole Normale Super., 1962.
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965.
Chevalley, C.: Théorie des groupes de Lie, 3, Hermann, 1955.
Amayo, R.K. and Stewart, I.: Infinite-dimensional Lie algebras, Noordhoff, 1974.
Humphreys, J.E.: Introduction to Lie algebras and representation theory, Springer, 1972.
Seligman, G.B.: Modular Lie algebras, Springer, 1967.
Arnol’d, V.I.: Mathematical methods of classical mechanics, Springer, 1978 (translated from the Russian).
Godbillon, C: Géometrie differentielle et mecanique analytique, Hermann, 1969.
Dubrovin, B.A., Fomenko, A.T. and Novikov, S.P.: Modern geometry, Springer, 1984 (translated from the Russian).
Internat. Congress Mathematicians Nice, 1970, Moscow, 1972, pp. 111-117 (in Russian). Lectures of Soviet Mathematicians.
Kostrikin, A.I.: ‘On the connection between periodic groups and Lie rings’, Izv. Akad. Nauk SSSR Ser. Mat. 21 (1957), 289–310 (in Russian).
Kostrikin, A.I.: ‘The Burnside problem’, Izv. Akad. Nauk SSSR Ser. Mat. 23 (1959), 3–34 (in Russian).
Kostrikin, A.I.: ‘A parametric family of simple Lie algebras’, Math. USSR Izv. 4 (1970), 751–764. (Izv. Akad Nauk SSSR Ser. Mat. 34 (1970), 744-756)
Guillemin, V. and Sternberg, S.: ‘An algebraic model of transitive differential geometry’, Bull. Amer. Math. Soc. 70 (1964), 16–47.
Kac, V.G. [V.G. Kats]: ‘Simple irreducible Lie algebras of finite growth’, Math. USSR Izv. 2 (1968), 1271–1311. (Izv. Akad. Nauk SSSR Ser. Mat. 32 (1968), 1323-1367)
Kac, V.G. [V.G. Kats]: ‘Description of filtered Lie algebras with which graded Lie algebras of Cartan type are associated’, Math. USSR Izv. 8 (1974), 801–835. (Izv. Akad. Nauk SSSR Ser. Mat. 38 (1974), 800-834)
Kostrikin, A.I. and Shafarevich, I.R.: ‘Graded Lie algebras of finite characteristic’, Math. USSR Izv. 3 (1969), 237–304. (Izv. Akad. Nauk SSSR Ser. Mat. 33 (1969), 251-322)
Cartan, E.: ‘Les groupes de transformations continues, infinis, simples’, Ann. Sci. Ecole Norm. Sup. 26 (1909), 93–161.
Lazard, M.: ‘Sur les groupes nilpotents et les anneaux de Lie’, Ann. Sci. Ecole Norm. Sup. 71 (1954), 101–190.
Singer, I.M. and Sternberg, S.: ‘The infinite groups of Lie and Cartan, Part I (the transitive groups)’, J. d’Anal. Math. 15 (1965), 1–114.
Block, R.E: ‘Determination of the differentiably simple rings with a minimal ideal’, Ann. of Math. (2) 90 (1969), 433–459.
Serre, J.-P.: Algèbres de Lie semi-simples complexes, Benjamin, 1966.
Varadarajan, V.S.: Lie groups, Lie algebras and their representations, Prentice Hall, 1974.
Britten, D.J. and Lemire, F.W. (eds.): Lie algebras and related topics, Amer. Math. Soc., 1986.
Block, R.E. and Wilson, R.L.: ‘Classification of restricted simple Lie algebras’, J. of Algebra 114 (1988), 115–259.
Block, R.E. and Wilson, R.L.: ‘The restricted simple Lie algebras are of classical or Cartan type’, Proc. Nat Acad. Sci. USA 81 (1984), 5271–5274.
Block, R.E and Wilson, R.L.: ‘Restricted simple Lie algebras’, in D.J. Britten and F.W. Lemire (eds.): Lie algebras and related topics, Amer. Math. Soc., 1986, pp. 3-18.
Wilson, R.L.: ‘A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic’, J. of Algebra 40 (1976), 418–465.
Benkart, G.: ‘Cartan subalgebras in Lie algebras of Cartan type’, in D.J. Britten and F.W. Lemire (eds.). Lie algebras and related topics, Amer. Math. Soc., 1986, pp. 157-187.
Block, R.E.: ‘New simple Lie algebras of prime characteristic’, Trans. Amer. Math. Soc. 89 (1958), 421–449.
Brown, G.: ‘Cartan subalgebras of Zassenhaus algebras’, Canad. J. Math. 27 (1975), 1011–1021.
Strade, H.: ‘Cartanalgebren im modularen Liealgebren’, Comm. in Algebra 5 (1977), 1335–1359.
Borel, A.: Linear algebraic groups, Benjamin, 1969.
Chevalley, C.: Théorie des groupes de Lie, 2, Hennann, 1951.
Sbligman, G.: Modular Lie algebras, Springer, 1967.
Golod, E.S.: ‘On nil algebras and residually finite groups’, Izv. Akad Nauk SSSR Ser. Mat. 28, no. 2 (1964), 273–276 (in Russian).
Hochschild, G.: Basic theory of algebraic groups and Lie algebras, Springer, 1981.
Jacobson, N.: Lie algebras, Interscience, 1962.
Jacobson, N.: Exceptional Lie algebras, M. Dekker, 1971.
Freudenthal, H.: Oktaven, Ausnahmengruppen und Oktavengeometrie, Math. Inst R.U. Utrecht, 1960.
Rozenfel’d, B.A.: ‘Einfache Lie-gruppen und nichteuklidische Geometrie’, in Algebraical and topological foundations of geometry, Pergamon, 1962, pp. 135-155.
Vinberg, E.B.: ‘A construction of the exponential simple Lie algebras’, Trudy Sem. Vektor. Tenzor. Anal. 13 (1966), 7–9 (in Russian).
Tits, J.: ‘Algèbres alternatives, algèbres de Jordan et algèbres de Lie exceptionelles I. Construction’, Indag. Mat. 28 (1966), 233–237.
Tirs, J.: Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen, Springer, 1967.
Shirshov, A.I.: ‘Subalgebras of free Lie algebras’, Mat. Sb. 33, no. 2 (1953), 441–452 (in Russian).
Witt, E.: ‘Die Unterringe der freien Lieschen Ringe’, Math. Z. 64 (1956), 195–216.
Kukin, G.P.: ‘Intersection of subalgebras of a free Lie algebras’, Algebra and Logic 16 (1977), 387–394. (Algebra i Logika 16 (1977), 577-587)
Magnus, W.: ‘Ueber Beziehungen zwischen höheren Kommutatoren’, J. Reine Angew. Math. 177 (1937), 105–115.
Bakhturin, Yu.A.: Identical relations in Lie algebras, VNU, 1987 (translated from the Russian).
Jacobson, N.: Lie algebras, Interscience, 1962.
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Alekseevskiĭ, A.V.: ‘Finite commutative Jordan subgroups of complex simple Lie groups’, Funct. Anal. Appl. 8, no. 4 (1974), 277–279. (Funktsional Anal. Prilozhen. 8, no. 4 (1974), 1-4)
Vinberg, E.B.: ‘The Weyl group of a graded Lie algebra’, Math. USSR Izv. 10 (1976), 436–496. (Izv. Akad. Nauk SSSR Ser. Mat. 40, no. 3 (1976), 488-526)
Kantor, I.L.: ‘Certain generalizations of Jordan algebras’, Trudy Sem. Vektor. Tenzor. Anal. 16 (1972), 407–499 (in Russian).
Kac, V.G.: ‘Simple irreducible graded Lie algebras of finite growth’, Math. USSR Izv. 2 (1968), 1271–1312. (Izv. Akad Nauk SSSR Ser. Mat. 32, no. 6 (1968), 1323-1367)
Kostrikin, A.I. and Shafarevich, I.R.: ‘Graded Lie algebras of finite characteristic’, Math. USSR Izv. 3 (1969), 237–304. (Izv. Akad Nauk SSSR Ser. Mat. 33, no. 2 (1969), 252-322)
Helgason, S.: Differential geometry, Lie groups, and symmetric spaces, Acad. Press, 1978.
Kac, V.G. and Raina, A.K.: Bombay lectures on highest weight representations, World Scientific, 1987.
Kac, V.G.: Infinite-dimensional Lie algebras, Cambridge Univ. Press. 1985.
Mathieu, O.: ‘Classification des algèbres de Lie graduées simples de croissance ≤1’ Invent. Math. 86 (1986), 371–426.
Hazbwinkel, M and Gerstenhaber, M (eds.): Deformation theory of algebras and structures and applications, Kluwer, 1988.
Pontryagin, L.S.: Topologicol groups, Princeton Univ. Press, 1958 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965.
Ado, I.D.: ‘The representation of Lie algebras by matrices’, Uspekhi Mat. Nauk 2, no. 6 (1947), 159–173 (in Russian).
Arnol’d, V.I.: Mathematical methods of classical mechanics, Springer, 1978 (translated from the Russian).
Berezin, F.A.: ‘Some remarks about the associative envelope of a Lie algebra’, Fund. Anal Appl 1, no. 2 (1967), 91–102. (Funktsional. Anal. i Prilozhen. 1, no. 2 (1967), 1-14)
Kirillov, A.A.: ‘Local Lie algebras’, Russian Math. Surveys 31, no. 4 (1976), 55–75. (Uspekhi Mat. Nauk 31, no. 4 (1976), 57-76)
Ritt, J.F.: ‘Differential groups and formal Lie theory for an infinite number of variables’, Ann. of Math. (2) 52 (1950), 708–726.
Ritt, J.F.: ‘Differential groups of order two’, Ann. of Math. (2) 53 (1951), 491–519.
Weisfeiler, B.: ‘On Lie algebras of differential formal groups of Ritt’, Bull. Amer. Math. Soc. 84, no. 1 (1978), 127–130.
Lichnérowicz, A.: ‘Applications of the deformations of algebraic structures to geometry and mathematical physics’, in M. Hazewinkel and M. Gerstenhaber (eds.): Deformation theory of algebras and structures and applications, Kluwer. 1988, pp. 855-896.
Golod, E.S.: ‘On nil-algebras and residually finite groups’, Izv. Akod. Nauk SSSR Ser. Mat. 28, no. 2 (1964), 273–276 (in Russian).
Kostrikin, A.I.: ‘On Burnside’s problem’, Izv. Akad. Nauk SSSR Ser. Mat. 23, no. 1 (1959), 3–34 (in Russian).
Razmyslov, Yu.P.: ‘On Lie algebras satisfying the Engel condition’, Algebra and Logic 10, no. 1 (1971), 21–29. (Algebra i Logika 10, no. 1 (1971), 33-44)
Bahturin, Yu. [Yu.A. Bakhturin]: Lectures on Lie algebras, Akad. Verlag, 1978.
Braun, A.: ‘Lie rings and the Engel condition’, J. of Algebra 31 (1974), 287–292.
Kostrikin, A.I.: Around Burnside, Springer, 1989 (translated from the Russian).
Jacobson, N.: Lie algebras, Interscience, 1962.
Humphreys, J.E.: Introduction to Lie algebras and representation theory, Springer, 1972.
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Jacobson, R: Lie algebras, Interscience, 1962.
Serre, J.-R: Lie algebras and Lie groups, Benjamin, 1965.
‘Théorie des algèbres de Lie. Topologie des groupes de Lie,’, in Sém S. Lie, Ecole Norm. Sup., 1955.
Chevalley, C.: Théorie des groupes de Lie, 3, Hermann, 1955.
Gurevich, G.B.: ‘Standard Lie algebras’, Mat. Sb. 35 (1954), 437–460 (in Russian).
Khakĭmdzhanov, Yu.B.: ‘Standard subalgebras of reductive Lie algebras’, Vestn. Moskov. Univ. Mat. Mekh., no. 6 (1974), 49–55 (in Russian). English abstract.
Humphreys, J.E.: Introduction to Lie algebras and representation theory, Springer, 1972.
Serre, J.-P.: Algèbres de Lie semi-simples complexes, Benjamin, 1986.
Borbl, A.: Linear algebraic groups, Benjamin, 1969.
Chevalley, C: Théorie des groupes de Lie, 2, Hermann, 1951.
Hochschild, G.: Basic theory of algebraic groups and Lie algebras, Springer, 1981.
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Pontryagin, L.S.: Topological groups, Princeton Univ. Press, 1958 (translated from the Russian).
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965.
Kirillov, A.A.: Elements of the theory of representations, Springer, 1976 (translated from the Russian).
Chevalley, C.: Theory of Lie groups, 1, Princeton Univ. Press, 1946.
Varadarajan, V.S.: Lie groups, Lie algebras and their representations, Prentice Hall, 1974.
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965.
Serre, J.-P.: Algèbres de Lie semi-simples complexes, Benjamin, 1966.
Bourbaki, N.: Elements of mathematics. Lie croups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Killing, W.: ‘Die Zusammensetzung der stetigen endlichen Transformationsgruppen I’, Math. Ann. 31 (1888), 252–290.
Killing, W.: ‘Die Zusammensetzung der stetigen endlichen Transformationsgruppen II’, Math. Ann. 33 (1889), 1–48.
Killing, W.: ‘Die Zusammensetzung der stetigen endlichen Transformationsgruppen III’, Math. Ann. 34 (1889), 57–122.
Killing, W.: ‘Die Zusammensetzung der stetigen endlichen Transformationsgruppen IV’, Math. Ann. 36 (1890), 161–189.
Cartan, E: ‘Sur la structure des groupes de transformations finis et continues’, in Oeuvres complètes, Vol. 1, Gauthier-Villars, 1952, pp. 137–287.
Jacobson, N.: Lie algebras, Interscience, 1962.
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965.
Steinberg, R.: Lectures on Chevalley groups, Yale Univ. Press, 1967.
Helgason, S.: Differential geometry, Lie groups, and symmetric spaces, Acad. Press, 1978.
Araki, S.: ‘On root systems and an infinitesimal classification of irreducible symmetric spaces’, Osaka J. Math. 13 (1962), 1–34.
Frenkel, I.B. and Kac, V.G.: ‘Basic representations of affine Lie algebras and dual resonance models’, Invent. Math. 62 (1980), 23–66.
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Serre, J.-P.: Algèbres de Lie semi-simples complexes, Benjamin, 1966.
Humphreys, J.E.: Introduction to Lie algebras and representation theory, Springer, 1972.
Borel, A. and Tits, J.: ‘Groupes réductifs’, Publ. Math. IHES 27 (1965), 55–150.
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Jacobson, N.: Lie algebras, Interscience, 1962.
Borel, A.: Linear algebraic groups, Benjamin, 1969.
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965.
Chevalley, C.: Théorie des groupes de Lie, 3, Hermann, 1955.
Vinberg, E.B.: ‘The Morozov—Borel theorem for real Lie groups’, Soviet Math. Dokl. 2 (1961), 1416–1419. (Dokl. Akad. Nauk SSSR 141 (1961), 270-273)
Mal’tsev, A.I.: ‘Solvable Lie algebras’, Izv. Akad Nauk SSSR 9 (1945), 329–352 (in Russian).
Onishchik, A.L.: ‘On Lie groups transitive on compact manifolds II’, Math. USSR Sb. 3 (1967), 373–388. (Mat. Sb. 74 (1967), 398-416)
Humphreys, J.E.: Introduction to Lie algebras and representation theory, Springer, 1972.
Artamonov, V.A.: ‘Lattices of varieties of linear algebras’, Russian Math. Surveys 33, no. 2 (1978), 155–193. (Uspekhi Mat. Nauk 33, no. 2 (1978), 135-167)
Amayo, R. and Stewart, I.: Infinite-dimensional Lie algebras, Noordhoff, 1974.
Bakhturin, Yu.A.: Lectures on Lie algebras, Akad. Verlag, 1978.
Bakhturin, Yu.A.: Identical relations in Lie algebras, VNU, Utrecht, 1987.
Slebodziński, W.: ‘Sur les équations canonique de Hamilton’, Bull. Cl. Sci. Acad. Ray. Belgique 17 (1931), 864–870.
Laptev, B.L.: ‘, Lie differentiation’, Progress in Math. 6 (1970), 229–269. (Itogi. Nauk. Algebra Topol. Geom. 1965 (1967), 429-465)
Yano, K.: The theory of Lie derivatives and its applications, North-Holland, 1957.
Sternberg, S.: Lectures on differential geometry, Prentice-Hall, 1964.
Vagner, V.V.: ‘Theory of geometric objects and theory of finite and infinite continuous transformation groups’, Dokl. Akad. Nauk SSSR 46 (1945), 347–349 (in Russian).
Laptev, B.L.: ‘Lie derivative in a space of supporting elements’, Trudy Sem Vektor. Tenzor. Anal. 10 (1956), 227–248 (in Russian).
Evtushik, L.E.: ‘The Lie derivative and differential field equations of a geometric object’, Soviet Math. Dokl. 1 (1960), 687–690. (Dokl. Akad. Nauk SSSR 132 (1960), 998-1001)
Palais, R.S.: ‘A definition of the exterior derivative in terms of Lie derivatives’, Proc. Amer. Math. Soc. 5 (1954), 902–908.
Pontryagin, L.S.: Topological groups, Princeton Univ. Press, 1958 (translated from the Russian).
Borel, A.: Linear algebraic groups, Benjamin, 1969.
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Weyl, H.: The classical groups, their invariants and representations, Princeton Univ. Press, 1946.
Wigner, E.: Group theory and its applications to the quantum mechanics of atomic spectra, Acad. Press, 1959 (translated from the German).
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965.
Steinberg, R.: Lectures on Chevalley groups, Yale Univ. Press, 1967.
‘Théorie des algèbres de Lie. Topologie des groupes de Lie’, in Sem. S. Lie, Ecole Norm. Super., 1962.
Hamermesh, M: Group theory and its application to physical problems, Addison-Wesley, 1962.
Helgason, S.: Differential geometry, Lie groups, and symmetric spaces, Acad. Press, 1978.
Chebotarev, N.G.: The theory of Lie groups, Moscow-Leningrad, 1940 (in Russian).
Chevalley, G: Theory of Lie groups, 1, Princeton Univ. Press, 1946.
Chevalley, C: Théorie des groupes de Lie, 2-3, Hermann, 1951-1955.
Hochschild, G.: The structure of Lie groups, Holden-Day, 1965.
Montgomery, D. and Zippin, L.: Topological transformation groups, Interscience, 1964.
Ado, I.D.: ‘Note on the representation of finite continuous groups by means of linear substitutions’, Izv. Fiz.-Mat. Obsch. (Kazan’) 7 (1935), 1–43 (in Russian).
Mal’tsev, A.I.: ‘On the theory of Lie groups in the large’, Mat. Sb. 16 (1945), 163–190 (in Russian).
Mal’tsev, A.I.: ‘On semisimple subgroups of Lie groups’, Transl. Amer. Math. Soc (1) 9 (1950), 172–213. (Izv. Akad. Nauk SSSR Ser. Mat. 8, no. 4 (1944), 143-174)
‘Hilbert problems’, Bull. Amer. Math. Soc. 8 (1902), 437-479.
Freudenthal, H. and Vries, H. de: Linear Lie groups, Acad. Press, 1969.
Mayer, W. and Thomas, T.Y.: ‘Foundations of the theory of Lie groups’, Ann. of Math. 36 (1935), 770–822.
Ado, I.D.: ‘The representation of Lie algebras by matrices’, Transl. Amer. Math. Soc. (1) 9 (1962), 308–327. (Uspekhi Mat. Nauk. 2 (1947), 159-173)
Bourbaki N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Harpe, P. de la: Classical Banach—Lie algebras and Banach—Lie groups of operators in Hilbert space, Springer, 1972.
Omori H.: Infinite dimensional Lie transformation groups, Springer, 1974.
Cartan, E.: La topologie des groupes de Lie, Hermann, 1936.
Weyl, H.: Uspekhi Mat. Nauk. 4 (1938), 201–246.
Pontryagin, L.S.: Topological groups, Princeton Univ. Press, 1958 (translated from the Russian).
‘Théorie des algèbres de Lie. Topologie des groupes de Lie’, in Sém. S. Lie, Ecole Norm. Super., 1954-1955.
Zhelobenko, D.P.: Compact Lie groups and their representations. Amer. Math. Soc., 1973 (translated from the Russian).
Naĭmark, M.A.: Theory of group representations, Springer, 1982 (translated from the Russian).
Onishchik, A.L. and Vinberg, E.B.: Seminar on algebraic groups and Lie groups, 1967/68, Moscow, 1969 (in Russian).
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965.
Adams, J.: Lectures on Lie groups, Benjamin, 1969.
Bröcker, Th. and tom Dieck, T.: Representations of compact Lie groups, Springer, 1985.
Chevalley, C.: Theory of Lie groups, 1, Princeton Univ. Press, 1946
Dixmier, J.: ‘L’application exponentielles dans les groupes de Lie résolubles’, Bull. Soc. Math. France 85 (1957), 113–121.
Saitô, M.: ‘Sur certains groupes de Lie résolubles I, II’, Sci. Papers Coll. Gen. Educ Univ. Tokyo 7 (1957), 1–11; 157-168.
Bernal, P., et al.: Representation des groupes de Lie résolubles, Dunod, 1972.
Lie, S. and Engel, F.: Theorie der Transformationsgruppen, 1-3, Leipzig, 1888-1893.
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Pontryagin, L.S.: Topologicol groups, Princeton Univ. Press, 1958 (translated from the Russian).
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965.
Chebotarev, N.G.: The theory of Lie groups, Moscow-Leningrad, 1940 (in Russian).
Birkhoff, G.: ‘Representability of Lie algebras and Lie groups by matrices’, Ann. of Math (2) 38 (1937), 526–532.
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965.
Helgason, S.: Differential geometry, Lie groups, and symmetric spaces, Acad. Press, 1978.
Chevalley, C.: Théorie des groupes de Lie, 3, Hermann, 1955.
Kirillov, A.A.: ‘Unitary representations of nilpotent Lie groups’, Russian Math. Surveys 17, no. 4 (1962), 53–104. (Uspekhi Mat. Nauk 17, no. 4 (1962), 57-110)
Raghunathan, M.S.: Discrete subgroups of Lie groups, Springer, 1972.
Pukanszky, L.: Leçons sur les représentations des groupes, Dunod, 1967.
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965 (translated from the French).
Lazard, M.: ‘Groupes analytiques p-adiques’, Publ. Math. IHES 26 (1965), 389–603.
Harish-Chandra: Collected papers, I, IV, Springer, 1984.
Silberger, A.J.: Introduction to harmonic analysis on reductive p-adic groups, Princeton Univ. Press, 1979.
Burhat, F. and Tits, J.: ‘Groupes réductifs sur un corps local’, Publ. Math. IHES 41 (1972), 5–251.
Adams, J.F.: Lectures on Lie groups, Benjamin, 1969.
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965.
Sirota, A.I. and Solodovnikov, A.S.: ‘Noncompact semisimple Lie groups’, Russian Math. Surveys 18, no. 3 (1963), 85–140. (Uspekhi Mat. Nauk 18, no. 3 (1963), 87-144)
Harish-Chandra: Collected works, I-IV, Springer, 1984.
Carter, R.W.: Finite groups of Lie type: Conjugacy classes and complex characters, Wiley, 1985.
Wolf, J.A.: Spaces of constant curvature, Publish or Perish, 1974.
Hochschild, G.: The structure of Lie groups, Holden-Day, 1965.
Bourbaki, N.: Elements of mathematics. Lie groups ana Lie algebras, Addison-Wesley, 1975 (translated from the French).
Kaplansky, I.: An introduction to differential algebra, Hermann, 1957.
Chevallby, C.: Théorie des groupes de Lie, 3, Hermann, 1955.
Auslander, L.: ‘An exposition of the structure of solvmani-folds. I Algebraic theory’, Bull. Amer. Math. Soc. 79 (1973), 227–261.
Vinberg, E.B.: ‘The Mozorov—Borel theorem for real Lie groups’, Soviet Math. Dokl. 2, no. 6 (1961), 1416–1419. (Dokl. Akad. Nauk SSSR 141 (1961), 270-273)
Mal’tsev, A.I.: ‘On the theory of Lie groups in the large’, Mat. Sb. 16(58) (1945), 163–190 (in Russian).
Olver, P.J.: Applications of Lie groups to differential equations, Springer, 1986.
Varadarajan, V.S.: Lie groups, Lie algebras and their representations, Prentice-Hall, 1974.
Springer, T.A.: Linear algebraic groups, Birkhäuser, 1981.
Borel, A.: Linear algebraic groups, Benjamin, 1969.
Vinberg, E.B.: ‘The Morozov — Borel theorem for real Lie groups’, Soviet Math. Dokl. 2 (1961), 1416–1419. (Dokl. Akad. Nauk SSSR 141 (1961), 270-273)
Kolchin, E.R.: ‘Algebraic matrix groups and the Picard—Vessiot theory of homogeneous linear ordinary differential equations’, Ann. of Math. (2) 49 (1948), 1–42.
Mal’tsev, A.I.: ‘On certain classes of infinite soluble groups’, Transl. Amer. Math. Soc (2) 2 (1956), 1–21. (Mat. Sb. 28 (1951), 567-580)
Kargapolov, M.I. and Merzlyakov, Yu.L: Fundamentals of the theory of groups, Springer, 1979 (translated from the Russian).
Kaplansky, I.: An introduction to differential algebra, Hermann, 1957.
Humphreys, J.E.: Linear algebraic groups, Springer, 1975.
Borel, A.: Linear algebraic groups, Benjamin, 1969.
Jacobson, N.: Lie algebras, Interscience, 1962.
Seligman, G.B.: Modular Lie algebras, Springer, 1967.
Kostrikin, A.I. and Shafarevich, I.R.: ‘Cartan pseudogroups and Lie p-algebras’, Soviet Math. DokL 7 (1986), 715–718. (Dokl. Akad. Nauk SSSR 168 (1966), 740-742)
Zassenhaus, H.: ‘Ueber Liesche Ringe mit Primzahlcharacteristik’, Abh. Math. Sem. Hansische Univ. 13 (1939), 1–100.
Block, R.E. and Wilson, R.L.: ‘Classification of the restricted simple Lie algebras’, J. of Algebra 114 (1988), 115–259.
Strade, H. and Farnsteiner, R.: Modular Lie algebras and their representations, M. Dekker, 1988.
Kac, V.G. and Veĭsfeĭler, B.Yu.: ‘Exponentials in Lie algebras of characteristic p’ Math. USSR Izv. 5 (1971), 777–803. (Izv. Akad. Nauk SSSR 35 (1971), 762-788)
Borel, A.: Linear algebraic groups, Benjamin, 1969.
Lie, S.: Gesammelte Abhandlungen. Anmerkungen zum 3-ten Band, Teubner, 1922, p. 718.
Shirokov, P.A. and Shirokov, A.P.: Affine differential geometry, Moscow, 1959 (in Russian).
Finikov, S.P.: Protective differential geometry, Moscow-Leningrad, 1937 (in Russian).
Blaschkb, W.: Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie. Affine Differentialgeometrie, 2, Springer, 1923.
Bol, G.: Projektive Differentialgeometrie, 2, Vandenhoeck & Ruprecht, 1954.
Helgason, S.: Differential geometry, Lie groups, and symmetric spaces, Acad. Press, 1978.
Loos, O.: Symmetric spaces, 1, Benjamin, 1969.
Lie, S. and Engel, F.: Theorie der Transformationsgruppen, 1-3, Teubner, 1888-1893.
Bourbaki N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Pontryagin, L.S.: Topological groups, Princeton Univ. Press, 1958 (translated from the Russian).
Serre, J.-R: Lie algebras and Lie groups, Benjamin, 1965.
Chevalley, C.: Théorie des groupes de Lie, 3, Hermann, 1955.
Chebotarev, N.G.: The theory of Lie groups, Moscow-Leningrad, 1940 (in Russian).
Borel, A.: Linear algebraic groups, Benjamin, 1969.
Varadarajan, V.S.: Lie groups, Lie algebras and their representations, Prentice-Hall, 1974.
Helgason, S.: Differential geometry, Lie groups, and symmetric spaces, Acad. Press, 1978.
Lie, S.: ‘Theorie der Transformationsgruppen’, Math. Ann. 16 (1880), 441–528.
Mostow, G.: ‘The extensibility of local Lie groups of transformations and groups on surfaces’, Ann. of Math. (2) 52 (1950), 606–636.
Bochner, S. and Montgomery, D.: ‘Groups of differentiable and real or complex analytic transformations’, Ann. of Math. (2) 46 (1945), 685–694.
Palais, R.: ‘A global formulation of the Lie theory of transformation groups’, Mem Amer. Math. Soc 22 (1957), 1–123.
Sulanke, R. and Wintgen, P.: Differentialgeometrie und Faserbüundel, Birkhäuser, 1972.
Pontrtagin, L.S.: Topological groups, Princeton Univ. Press, 1958 (translated from the Russian).
Richardson, R.: ‘On the variation of isotropy subalgebras’, in Proc Conf. Transformation Groups, New Orleans, 1967, Springer, 1968, pp. 429-440.
Chebotarev, N.G.: The theory of Lie groups, Moscow-Leningrad, 1940 (in Russian).
Montgomery, D. and Zippin, L.: Topological transformation groups, Interscience, 1964.
Liénard, A. and Chipart, H.: ‘Sur la signe de la partie réelle des racines d’une équation algébrique’, J. Math. Pures Appl. 10 (1914), 291–346.
Gantmakher, F.R.: The theory of matrices, Chelsea, reprint, 1977 (translated from the Russian).
Liénard, A.: Rev. Gen. Electr. 23 (1928), 901–912; 946-954.
A.A. Andronov, Vitt, A.A. and Khaĭkin, S.E.: Theory of oscillators, Dover, reprint, 1987 (translated from the Russian).
Sansone, G.: Ordinary differential equations, Zanichelli, 1948 (in Italian).
Lefschetz, S.: Differential equations: geometric theory, Interscience, 1957.
Reissig, R., Sansone, G. and Conti, R.: Nichtlineare Differentialgleichungen höherer Ordnung, Cremonese, 1969.
Waerden, B.L. van der: Mathematische Statistik, Springer, 1957
Cox, D.R. and Hinkley, D.V.: Theoretical statistics, Chapman & Hall, 1974.
Neyman, J. and Pearson, E.S.: Joint statistical papers, Cambridge Univ. Press, 1967.
Lehmann, E.: Testing statistical hypotheses, Wiley, 1986.
Il’in, V.A. and Poznyak, E.G.: Fundamentals of mathematical analysis, 1-2, Mir, 1982 (translated from the Russian).
Il’in, V.A., Sadovnichiĭ, V.A. and Sendov, B.Kh.: Mathematical analysis; Moscow, 1979 (in Russian).
Kudryavtsev, L.D.: A course in mathematical analysis, 1-3, Moscow, 1988-1989 (in Russian).
Nikol’skiĭ, S.M.: A course of mathematical analysis, 1-2, Mir, 1977 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. General topology, Addison-Wesley, 1966 (translated from the French).
Zamansky, M.: Introduction à l’algèbre et l’analyse modernes, Dunod, 1958.
Krazer, A. and Franz, W.: Transzendente Funktionen, Akademie-Verlag, 1960.
Hausdorff, F.: Grundzüge der Mengenlehre, Leipzig, 1914. Reprinted (incomplete) English translation: Set theory, Chelsea (1978).
Courant, R.: Differential and integral calculus, 1-2, Blackie, 1948 (translated from the German).
Stromberg, K.R.: Introduction to classical real analysis, Wadsworth, 1981.
Kelley, J.L.: General topology, v. Nostrand, 1955.
Mitchell, B.: Theory of categories, Acad. Press, 1965.
Adamek, J.: Theory of mathematical structures, Reidel, 1983.
Ignatowsky, W. [V.S. Ignatovskiĭ]: ‘Reflexion elektromag netischer Wellen an einem Drahte’, Ann. der Physik 18, no. 13 (1905), 495–522.
Povzner, A.Ya.: ‘On the decomposition of arbitrary functions into eigenfunctions of the operator —Δn +cu’, Mat. Sb. 32, no. 1 (1953), 109–156 (in Russian).
Eidus, D.M.: ‘The principle of limiting amplitude’, Russian Math. Surveys 24, no. 3 (1969), 97–167. (Uspekhi Mat Nauk 24, no. 3 (1969), 91-156)
Sveshnikov, A.V.: ‘The limit absorption principle for a wave guide’, Dokl. Akad Nauk SSSR 80, no. 3 (1951), 345–347 (in Russian).
Vaĭnberg, B.R.: ‘Principles of radiation, limit absorption and limit amplitude in the general theory of partial differential equations’, Russian Math. Surveys 21, no. 3 (1966), 115–193. (Uspekhi Mat. Nauk 21, no. 3 (1966), 115-194)
Vaĭnberg, B.R.: ‘On elliptic problems in unbounded domains’, Math USSR Sb. 4 (1968), 419–444. (Mat. Sb. 75, no. 3 (1968), 454-480)
Vaĭnberg, B.R.: Asymptotic methods in equations of mathematical physics, Gordon & Breach, 1988 (translated from the Russian).
Pogorelov, A.V.: Extrinsic geometry of convex surfaces, Amer. Math. Soc., 1972 (translated from the Russian).
Schneider, R.: ‘Boundary structure and curvature of convex bodies’, in J. Tölke and J.M. Wills (eds.): Contributions to Geometry, Birkhäuser, 1979, pp. 13-59.
Busemann, H.: Convex surfaces, Interscience, 1958.
Pontryagin, L.S.: Ordinary differential equations, Addison-Wesley, 1962 (translated from the Russian).
andrcnov, A.A., Vitt, A.A. and Khaĭkin, S.E.: Theory of oscillators, Dover, reprint, 1987 (translated from the Russian).
Andronov, A.A., Leontovich, E.A., Gordon, I.I. and Maier, A.G.: Qualitative theory of second-order dynamic systems, Wiley, 1973 (translated from the Russian).
Andronov, A.A., Leontovich, E.A., Gordon, I.I. and Maier, A.G.: Theory of bifurcations of dynamic systems on a plane, Israel Progr. Sci. Transl., 1971 (translated from the Russian).
Pliss, W.A.: Nonlocal problems of the theory of oscillations, Acad. Press, 1966 (translated from the Russian).
Moiseev, N.N.: Asymptotic methods of non-linear mechanics, Moscow, 1969 (in Russian).
Hajek, O.: Dynamical systems in the plane, Acad. Press, 1968.
Coddington, E.A. and Levinson, N.: Theory of ordinary differential equations, McGraw-Hill, 1955.
Carathéodory, C.: ‘Ueber die Begrenzung einfach zusammenhängender Gebiete’, Math. Ann. 73 (1913), 323–370.
Koebe, P.: ‘Abhandlungen zur Theorie der konformen Abbildung. I’, J. Reine Angew. Math. 145 (1915), 177–223.
Suvorov, G.D.: Families of plane topological mappings, Novosibirsk, 1965 (in Russian).
Markushevich, A.I.: Theory of functions of a complex variable, 3, Chelsea, 1977 (translated from the Russian).
Collingwood, E.F. and Lohwater, A.J.: The theory of cluster sets, Cambridge Univ. Press, 1966, Chapt. 9.
Ohtsuka, M.: Dirichlet problem, extremal length and prime ends, v. Nostrand, 1967.
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Duren, P.L.: Univalent functions, Springer, 1983.
Aleksandrov, P.S.: Introduction to set theory and general topology, Moscow, 1977 (in Russian).
Hausdorff, F.: Grundzüge der Mengenlehre, Leipzig, 1914. Reprinted (incomplete) English translation: Set theory, Chelsea (1978).
Engelking, R.: General topology, Heldermann, 1989.
Nemytskiĭ, V.V. and Stepanov, V.V.: Qualitative theory of differential equations, Princeton Univ. Press, 1960 (translated from the Russian).
Nemytskiĭ, V.V. and Stepanov, V.V.: Qualitative theory of differential equations, Princeton Univ. Press, 1960 (translated from the Russian).
Pontryagin, L.S.: Ordinary differential equations, Addison-Wesley, 1962 (translated from the Russian).
Beck, A.: Continuous flows in the plane, Springer, 1974.
Gutierrez, C.: ‘Smoothing continuous flows on two-;6), manifolds and recurrences’, Ergodic Theory and Dynam. Syst. 6 (1986), 17–44.
Hajek, O.: Dynamical systems in the plane, Acad. Press, 1968.
Hajek, O.: Dynamical systems in the plane, Acad. Press, 1968.
Gnedenko, B.V. and Kolmogorov, A.N.: Limit distributions for sums of independent random variables, Addison-Wesley, 1954 (translated from the Russian).
Ibragimov, I.A. and Linnik, Yu.V.: Independent and stationary sequences of random variables; Wolters-Noordhoff, 1971 (translated from the Russian).
Petrov, V.V.: Sums of independent random variables, Springer, 1975 (translated from the Russian).
Prokhorov, Yu.V. and Rozanov, Yu.A.: Probability theory. Springer, 1969 (translated from the Russian).
Billingsley, P.: Convergence of probability measures, Wiley, 1968.
Pollard, D.: Convergence of stochastic processes, Springer, 1984.
Jacod, J. and Shiryaev, A.N.: Limit theorems for stochastic processes, Springer, 1987 (translated from the Russian).
Loéve, M.: Probability theory, I, Springer, 1977.
Paulauskas, V. and Rackauskas, A.: Approximation theory in the central limit theorem. Exact results in Banach spaces, Kluwer, 1989.
Tikhonov, A.N. and Samarskiĭ, A.A.: ‘On the radiation principle’, Zh. Eksper, i Teoret. Fiz. 18, no. 2 (1948), 243–248 (in Russian).
Ladyzhenskaya, O.A.: ‘On the limiting-amplitude principle’, Uspekhi Mat. Nauk 12, no. 3 (1957), 161–164 (in Russian).
Eĭdus, D.M.: ‘The principle of limiting amplitude’, Russian Math. Surveys 24, no. 3 (1969), 97–167. (Uspekhi Mat. Nauk 24, no. 3 (1969), 91-156)
Sveshnikov, A.G.: ‘On the radiation principle’, Dokl. Akad. Nauk SSSR 73, no. 5 (1950), 917–920 (in Russian).
Isakova, E.K.: ‘The limiting amplitude principle for the Cauchy—Poisson problem in a plane I’ Differential Eq. 6, no. 1 (1970), 45–55. (Differentsial Uravn. 6, no. 1 (1970), 56-71)
Mikhaĭlov, V.P.: ‘Stabilising the solution of a certain nonsteadystate boundary value problem’, Proc. Steklov Inst. Math. 91 (1969), 103–116. (Trudy Mat. Inst. Steklov. 91 (1967), 100-112)
Vaĭnberg, B.R.: ‘On the short wave asymptotic behaviour of solutions of stationary problems and the asymptotic behaviour as t→∞ of solutions of non-stationary problems’, Russian Math. Surveys 30, no. 2 (1975), 1–58. (Uspekhi Mat. Nauk 30, no. 2 (1975), 3-55)
Vaĭnberg, B.R.: ‘The limiting amplitude principle’, Izv. Vyzov. Mat. 2 (1974), 12–23 (in Russia).
Lindeberg, J.W.: ‘Eine neue Herleitung des Exponential-gesetzes in der Wahrscheinlichkeitsrechnung’, Math. Z. 15 (1922), 211–225.
Feller, W.: ‘Ueber den zentralen Grenzwertsatz der Wahrscheinlichkeitsrechnung’, Math. Z. 40 (1935), 521–559.
Loève, M: Probability theory, Springer, 1977.
Petrov, V.V.: Sums of independent random variables, Springer, 1975 (translated from the Russian).
Lindelöf, E.: Leçons de calcul des variations, Paris, 1861.
Bolza, O.: Bull. Math. Soc. 18, no. 3 (1911), 107–110.
Carathéodory, C.: Variationsrechnung und partielle Differentialgleichungen erster Ordnung, Teubner, 1956.
Bryson, A.E. and Ho, Y.-C.: Applied optimal control, Blaisdell, 1969.
Lindelöf, E.: Le calcul des résidus et ses applications à la théorie des fonctions, Gauthier-Villars, 1905.
Titchmarsh, E.C.: The theory of the Riemann zeta-function, Oxford Univ. Press, 1951, Chapt. 13.
Ivic, A.: The Riemann zeta-function, Wiley, 1985.
Lindelöf, E.: ‘Mémoire sur certaines inegualités dans la théorie des fonctions monogènes et sur quelques propriétés nouvelles de ces fonctions dans la voisinage d’un point singulier essentiel’, Acta. Soc. Sci. Fennica 35, no. 7 (1909), 1–35.
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Lavrent’ev, M.A. and Shabat, B.V.: Methoden der komplexen Funktionentheorie, Deutsch. Verlag Wissenschaft, 1967 (translated from the Russian).
Stoĭlov, S.: The theory of functions of a complex variable, 1-2, Moscow, 1962 (in Russian; translated from the Rumanian).
Lavrent’ev, MA: Variational methods for boundary value problems for systems of elliptic equations, Noordhoff, 1963 (translated from the Russian).
Lindelöf, E: J. Math. 9 (1903), 213–221.
Lindelöf, E.: Le calcul des résidus et ses applications à la théorie des fonctions, Gauthier-Villars, 1905.
Hardy, G.H.: Divergent series, Clarendon Press, 1949.
Cooke, R.G.: Infinite matrices and sequence spaces, MacMillan, 1950.
Lindelöf, E.: ‘Sur un principe générale de l’analyse et ses applications à la théorie de la représentation conforme’, Acta Soc. Sci. Fennica 46, no. 4 (1915), 1–35.
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Collinowood, E.F. and Lohwater, A.J.: The theory of cluster sets, Cambridge Univ. Press, 1966.
Čirka, E.M. [E.M. Chirka] and Henkin, G.M. [G.M. Khenkin]: ‘Boundary properties of holomorphic functions of several complex variables’, J. Soviet Math. 5 (1976), 612–687. (Itogi Nauk. i Tekhn. Sovrem. Probl. 4 (1975), 13-142)
Rudin, W.: Function theory in the unit ball of C n, Springer, 1980.
Gel’fond, A.O.: Transcendental and algebraic numbers, Dover, reprint, 1960 (translated from the Russian).
Fel’dman, N.I. and Shidlovskiĭ, A.B.: ‘The development and present state of the theory of transcendental numbers’, Russian Math. Surveys 22, no. 3 (1967), 1–79. (Uspekhi Mat. Nauk 22, no. 3 (1967), 3-81)
Baker, A.: Transcendental number theory, Cambridge Univ. Press, 1975.
Beukers, F., Bézivin, J.P. and Robba, Ph.: ‘An alternative proof of the Lindemann-Weierstrass theorem’, Amer. Math. Monthly (Forthcoming (1989)).
Aleksandrov, P.S.: Einführung in die Mengenlehre und die Theorie der reelen Funktionen, Deutsch. Verlag Wissenschaft, 1956 (translated from the Russian).
Kuratowski, K.L.: Topology, 2, Acad. Press, 1968 (translated from the French).
Menger, K.: Kurventheorie, Teubner, 1932.
Parkhomenko, A.S.: What is a curve?, Moscow, 1954 (in Russian).
Urysohn, P.S.: Works on topology and other branches of mathematics, 2, Moscow-Leningrad, 1951 (in Russian).
Hausdorff, F.: Grundzüge der Mengenlehre, Leipzig, 1914. Reprinted (incomplete) English translation: Set theory, Chelsea (1978).
Engelking, R.: General topology, Heldermann, 1989.
Engelking, R.: Dimension theory, PWN & North-Holland, 1978.
Sierpiński, W.: ‘Sur un courbe dont tout point est un point de ramification’, C.R. Hebdomaires Acad. Sci. Paris 160 (1915), 302–305.
Blumenthal, L. and Menger, K.: Studies in geometry, Freeman, 1970 (translated from the German).
Coolidge, J.: A treatise on algebraic plane curves, Clarendon Press, 1931.
Alexandrov, A.D. [A.D. Aleksandrov] and Reshetnyak, Yu.G.: General theory of irregular curves, Kluwer, 1989 (translated from the Russian).
Kostrikin, A.I.: Introduction à l’algèbre, Mir, 1981 (translated from the Russian).
Kurosh, A.G.: Higher algebra, Mir, 1972 (translated from the Russian).
Gel’fand, I.M.: Lectures on linear algebra, Interscience, 1961 (translated from the Russian).
Mal’tsev, A.I.: Foundations of linear algebra. Freeman, 1963 (translated from the Russian).
Efimiov, N.V. and Rozendorn, E.R.: Linear algebra and multi-dimensional geometry, Moscow, 1970 (in Russian).
Shilov, G.E.: An introduction to the theory of linear spaces, Prentice-Hall, 1961 (translated from the Russian).
Gantmakher, F.R.: The theory of matrices, Chelsea, reprint, 1977 (translated from the Russian).
Artin, E.: Geometric algebra, Interscience, 1957.
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, Chapt. 1; 2 (translated from the French).
Baer, R.: Linear algebra and protective geometry, Acad. Press, 1952.
Halmos, P.R.: Finite-dimensional vector spaces, v. Nostrand, 1958.
Lang, S.: Linear algebra, Addison-Wesley, 1966.
Faddeev, D.K. and Faddeeva, V.N.: Computational methods of linear algebra. Freeman, 1963 (translated from the Russian).
Voevodin, V.V.: Numerical methods of algebra, Moscow, 1966 (in Russian).
Wilkinson, J.H.: The algebraic eigenvalue problem, Oxford Univ. Press, 1969.
Voevodin, V.V.: Vestn. Moskov. Univ. Mat. Mekh. 2 (1970), 69–82.
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian).
Samarskiĭ, A.A. and Nikolaev, E.S.: Methods for solving grid equations, Moscow, 1978 (in Russian).
Voevodin, V.V.: Computational foundations of linear algebra, Moscow, 1977 (in Russian).
Faddeeva, V.N., et al.: Computational methods of linear algebra. Bibliographic index, 1828–1974, Novosibirsk, 1976 (in Russian).
Voevodin, V.V.: Algèbre linéare, Mir, 1976 (translated from the Russian).
Marchuk, G.I. and Kuznetsov, Yu.A.: Iterative methods and quadratic functionals, Novosibirsk, 1972 (in Russian).
Westlake, J.R.: A handbook of numerical matrix inversion and solution of linear equations, Wiley, 1968.
Householder, A.S.: Lectures on numerical algebra, Math. Assoc. Amer., 1972.
Kieibasinski, A. and Schwetlick, H.: Numerische lineare Algebra, H. Deutsch, 1988.
Golub, G.H. and Loan, C.F. van: Matrix computations, North Oxford Acad., 1983.
Kurosh, A.G.: Higher algebra, Mir, 1972 (translated from the Russian).
Kostrikin, A.I.: Introduction to algebra, Springer, 1982 (translated from the Russian).
Mishina, A.P. and Proskuryakov, I.V.: Higher algebra. Linear algebra, polynomials, general algebra, Moscow, 1965 (in Russian).
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, Chapt. 1; 2 (translated from the French).
Lang, S.: Algebra, Addison-Wesley. 1984.
Lang, S.: Linear algebra, Addison-Wesley, 1966.
Lang, S.: Introduction to linear algebra, Addison-Wesley, 1970.
Borel, A.: Linear algebraic groups, Benjamin, 1969.
Borel, A.: ‘Groupes linéaires algébriques’, Ann. of Math. (2) 64 (1956), 20–82.
Borel, A.: ‘Groupes réductifs’, Publ Math. IHES 27 (1965), 55–150.
Serre, J.-P.: Groupes algébrique et corps des classes, Hermann, 1959.
Serre, J-P.: Cohomoiogie Galmsienne, Springer, 1964.
Chevalley, C.: Théorie des groupes de Lie, 2, Hermann, 1951.
Chevalley, C.: Classification des groupes de Lie algébriques, 1-2, Ecole Normale Sup., 1956-1958.
Chevalley, C.: ‘La théorie des groupes algébriques’, in Internat. Congress Mathematicians Edinburgh, 1958, Cambridge Univ. Press, 1960, pp. 53-68.
Trrs, J.: Algebraic groups and discontinuous subgroups, Proc. Symp. Pure Math., Vol. 9, Amer. Math. Soc., 1966, pp. 33-62.
Demazure, M. and Grothendick, A.: Schémas en groupes I-III, Lecture notes in math., 151-153, Springer, 1970.
Platonov, V.P.: ‘The theory of algebraic linear groups and periodic groups’, Transi Amer. Math. Soc. (2) 69 (1968), 61–110. (Izv. Akad Nauk SSSR Ser. Mat. 30 (1966), 573-620)
Platonov, V.R: ‘Algebraic groups’, J. Soviet Math. 4, no. 5 (1975), 463–482. (Itogi Nauk. i Tekhn. Algebra Topol. Geom. 11 (1974), 5-36)
Trrs, J.: ‘Algebraic and abstract simple groups’, Ann. of Math. (2) 80 (1964), 313–329.
Steinberg, R.: Lectures on Chevalley groups, Yale Univ. Press, 1968.
Bruhat, F. and Trrs, J.: ‘BN paires de type affine et données radicielles’, C.R Acad. Sci Paris 263 (1966), 598–601.
Bruhat, F. and Trrs, J.: ‘Groupes simples résiduellement déployés sur un corps local’, C.R. Acad. Sci. Paris 263 (1966), 766–768.
Bruhat, F. and Trrs, J.: ‘Groupes algébriques simples déployés sur un corps local’, C.R. Acad Sci. Paris 263 (1966), 822–825.
Bruhat, F. and Trrs, J.: ‘Groupes algébriques simples déployés sur un corps local: Cohomoiogie galoisienne, décompositions d’Iwasawa et de Cartan’, C.R. Acad Sci. Paris 263 (1966), 867–869.
Platonov, V.R: The Tannaka-Artin problem and reduced K-theory’, Math. USSR Izv. 10 (1976), 211–243. (Izv. Akad Nauk SSSR Ser. Mat. 40, no. 2 (1976), 227-261)
Humphreys, J.E.: Linear algebraic groups, Springer, 1981.
Chevalley, C.: ‘Certains schémas de groupes semi-simples’, in Sem. Bourbaki, Exp. 219, 1960-1061.
Borel, A. and Springer, T.A.: ‘Rationality properties of linear algebraic groups II’, Tohoku Math. J. 20 (1968), 443–497.
Bruhat, F. and Trrs, J.: ‘Groupes réductif sur un corps locale I’, Publ. Math.IHES 41 (1972), 5–251.
Bruhat, F. and Trrs, J.: ‘Groupes réductif sur un corps locale II’, Publ. Math.IHES 60 (1984), 5–184.
Bruhat, F. and Trrs, J.: ‘Groupes algébriques sur un corps locale III’, J. Fac. Sci. Tokyo Univ. 34 (1987), 671–698.
Borel, A. and Mostow, G.D. (eds.): Algebraic groups and discontinuous subgroups, Proc. Symp. Pure Math., 9, Amer. Math. Soc., 1966.
Cassels, J.W.S. and Fröhlich, A. (eds.): Algebraic number theory, Acad. Press, 1986.
Wbil, A.: Basic number theory, Springer, 1974.
Weil, A.: ‘Sur la formule de Siegel dans la théorie des groupes classiques’, Acta Math. 113 (1965), 1–87.
Borel, A.: ‘Arithmetic properties of linear algebraic groups’, in Proc. Internat. Congress Mathematicians Uppsala, 1962, Mittag-Leffler Inst., 1963, pp. 10-22.
Borel, A. and Harish-Chandra: ‘Arithmetic subgroups of algebraic groups’, Ann. of Math. 75 (1962), 485–535.
Platonov, V.P.: The problem of strong approximation and the Kneser-Tits conjecture for algebraic groups’, Math USSR Izv. 3 (1969), 1139–1148. (Izv. Akad Nauk SSSR Ser. Mat. 33 (1969), 1211-1219)
Platonov, V.P.: ‘Addendum to The problem of strong approximation and the Kneser—Tits conjecture for algebraic groups”, Math. USSR Izv. 4 (1970), 784–786. (Izv. Akad Nauk SSSR Ser. Mat. 34 (1970), 775-777)
Platonov, V.P.: The arithmetic theory of linear algebraic groups and number theory’, Proc. Steklov Inst. Math. 132 (1973), 184–191. (Trudy Mat. Inst. Steklov. 132 (1973), 162-168)
Kneser, M.: ‘Starke Approximation in algebraischen Gruppen I’, J. Reine Angew. Math. 218 (1965), 190–203.
Kneser, M:’ strong approximation’, in G.D. Mostow and A. Borel (eds.): Proc Symp. Pure Math, Vol. 9, Amer. Math. Soc., 1966, pp. 187-196.
Kneser, M.:’ schwache Approximation in algebraischen Gruppen’, in Colloq. Groupes Algébriques, Bruxelles, Gauthier-Villars, 1962, pp. 41-52.
Harder, G.: ‘Halbeinfache Gruppenschemeta über Dedekindringen’, Invent. Math. 4, no. 3 (1967), 165–191.
Eichler, M.: ‘Algemeine Kongruenzklasseneinteilungen der Ideale einfacher Algebren über algebraische Zahlkörpern und ihre L-Reihen’, J. Reine Angew. Math. 179 (1938), 227–251.
Behr, H.: ‘Zur starken Approximation in algebraischen Gruppen über globalen Körpern’, J. Reine Angew. Math. 229 (1968), 107–116.
Platonov, V.P.: ‘Reduced K-theory and approximation in algebraic groups’, Proc. Steklov Inst. Math. 142, no. 3 (1979), 213–224. (Trudy Mat. Inst. Stekloy. 142 (1976), 198-207)
Prasad, G.: ‘Strong approximation for semi-simple groups over function fields’, Ann. of Math. (2) 105 (1977), 553–572.
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1963.
Babushka, I., Práger, M. and Vitasek, E: Numerical processes in differential equations, SNTL, 1966.
Bakhvalov, N.S.: Summary of the course ‘Foundations of computational mathematics’, 4, Moscow, 1968 (in Russian).
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian).
Varga, R.S.: Functional analysis and approximation theory in numerical analysis, SIAM, 1971.
Gavurin, M.K.: Lectures on methods of computation, Moscow, 1971 (in Russian).
Godunov, S.K. and Ryabbn’kiĭ, V.S.: The theory of difference schemes, North-Holland, 1964 (translated from the Russian).
Lyyakonov, E.G.: Difference methods for solving boundary value problems, 1-2, Moscow, 1971-1972 (in Russian).
Kantorovich, L.V. and Akilov, G.P.: Functional analysis, Pergamon, 1982 (translated from the Russian).
Marchuk, G.I.: Methods of numerical mathematics, Springer, 1975 (translated from the Russian).
Miklin, S.G. and Smolttskiĭ, Kh.I: Approximate methods for solution of differential and integral equations, Amer. Elsevier, 1967 (translated from the Russian).
Richtmyer, R.D. and Morton, K.W.: Difference methods for initial-value problems, Interscience, 1967.
Ryaben’kĭ, V.S. and Filippov, A.F.: Ueber die Stabilität von Differenzengleichungen, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian).
Samarskiĭ, A.A: Theorie der Differenzverfahren, Akad. Verlagsgesell. Geest u. Portig K.-D., 1984 (translated from the Russian).
Samarskiĭ, AA. and Nkolaev, E.S.: Methods for solving grid equations, Moscow, 1978 (in Russian).
Ascher, U.M., Matthey, R.M.M. and Russell, R.D.: Numerical solution of boundary value problems for ordinary differential equations, Prentice-Hall, 1988.
Keller, H.B.: Numerical solution of two point boundary value problems, SIAM, 1976.
Lichnerowicz, A.: Global theory of connections and holonomy groups, Noordhoff, 1976 (translated from the French).
Kobayashi, S. and Nomizu, K.: Foundations of differential geometry, 1, Interscience, 1963.
Lang, S.: Introduction to differentiable manifolds, Interscience, 1967.
Yosida, K.: Functional analysis, Springer, 1980.
Kreĭn, S.G.: Linear differential equations in Banach space, Amer. Math. Soc., 1971 (translated from the Russian).
Hille, E. and Phillips, R.: Functional analysis and semigroups, Amer. Math. Soc., 1957.
Functional analysis, Moscow, 1972 (in Russian).
Glushko, V.P.: Degenerate linear differential equations, Voronezh, 1972 (in Russian).
Daletskiĭ, Yu.L. and Kreĭn, M.G.: Stability of solutions of differential equations in Banach space, Amer. Math. Soc., 1974 (translated from the Russian).
Zubova, S.P. and Chernyshovas, K.I.: ‘A linear differential equation with a Fredhohn operator acting on the derivative’, in Differential Equations and their Applications, Vol. 14, Vilnius, 1976, pp. 21–29 (in Russian). English abstract.
Kuznetsov, A.N.: ‘Differentiable solutions to degenerate systems of ordinary equations’, Funct. Anal Appl. 6, no. 2 (1972), 119–127. (Funktional Anal i Prilozhen. 6, no. 2 (1972), 41-51)
Krön, S.G. and Laptev, G.I.: ‘An abstract scheme for the consideration of parabolic problems in noncylindrical regions’, Differential Eq. 5 (1969), 1073–1081. (Differentsial Uravn. 5, no. 8 (1969), 1458-1469)
Lyubich, Yu.I: ‘The classical and local Laplace transformation in an abstract Cauchy problem’, Russian Math. Surveys 21, no. 3 (1966), 1–52. (Uspekhi Mat. Nauk 21, no. 3 (1966), 3-51)
Ovsyannikov, L.V.: ‘A singular operator in a scale of Banach spaces’, Soviet Math. Dokl. 6 (1965), 1025–1028. (Dokl. Akad. Nauk SSSR 163, no. 4 (1965), 819-822)
Soboleskiiĭ, P.E.: ‘Equations of parabolic type in a Banach space’, Trudy Moskov. Mat Obshch. 10 (1961), 297–350 (in Russian).
Beals, R.: ‘Laplace transform methods for evolution equations’, in H.G. Garnir (ed.): Boundary value problems for linear evolution equations: partial differential equations. Proc. NATO Adv. Study Inst. Liège, 1976, Reidel, 1977, pp. 1-26.
Friedman, A.: ‘Uniqueness of solutions of ordinary differential inequalities in Hilbert space’, Arch. Rat. Meck Anal. 17, no. 5 (1964), 353–357.
Kato, T.: ‘Linear evolution equations of ‘hyperbolic’ type II’, J. Math. Assoc. Japan 25, no. 4 (1973), 648–666.
Treves, F.: Basic linear partial differential equations, Acad. Press, 1975.
Miller, J.: ‘Solution in Banach algebras of differential equations with irregular singular point’, Acta Math. 110, no. 3-4 (1963), 209–231.
Peetre, J.: ‘Uniqueness in the Cauchy problem for elliptic equations with double characteristics’, Math. Scand. 8 (1960), 116–120.
Hörmander, L.: Pseudo-differential operators, Moscow, 1967, pp. 63-87; 166-296; 297-367 (in Russian; translated from the English).
Bernshteĭn, I.N.: ‘The analytic continuation of generalized functions with respect to a parameter’, Fund. Anal Appl. 6, no. 4 (1972), 273–285. (Funktsional. Anal. i Prilozhen. 6, no. 4 (1972), 26-40)
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Tichonoff, A.N. [A.N. Tkhonov] and Samarskiĭ, A.A.: Differentialgleichungen der mathematischen Physik, Deutsch. Verlag Wissenschaft, 1959 (translated from the Russian).
Hörmander, L.V.: The analysis of linear partial differential operators, 1-4, Springer, 1983-1985.
Palamodov, V.P.: Linear differential operators with constant coefficients, Springer, 1970 (translated from the Russian).
Hartman, P.: Ordinary differential equations, Birkhäuser, 1982.
Palais, R.: Seminar on the Atiyah—Singer index theorem, Princeton Univ. Press, 1965.
Palamodov, V.P.:’ systems of linear differential equations’, Itogi Nauk. Mat. Anal 1968 (1969), 5-37 (in Russian).
Björk, J.E: Rings of differential operators, North-Holland, 1979.
Sato, M., Kawai, T. and Kashiwara, M: ‘Microfunctions and pseudodifferential equations’, in H. Komatsu (ed.): Hyperfunctions and pseudo-differential equations, Lecture notes in math., Vol. 287, Springer, 1973, pp. 265-529.
Vekua, I.N.: Generalized analytic junctions, Pergamon, 1962 (translated from the Russian).
Brrsadze, A.V.: Boundary value problems for second-order elliptic equations, North-Holland, 1968 (translated from the Russian).
Agmon, S., Douglis, A. and Nirenbero, L.: ‘Estimates close to the boundary of solutions of elliptic partial differential equations under general boundary conditions’, Comm. Pure Appl. Math. 12 (1959), 623–727.
John, F.: Plane waves and spherical means: applied to partial differential equations, Interscience, 1955.
Miranda, C.: Partial differential equations of elliptic type. Springer, 1970 (translated from the Italian).
Bernshteĭn, S.N.: Collected works, 3, Moscow, 1960 (in Russian).
Schauder, J.: ‘Ueber lineare elliptische Differentialgleichungen zweiter Ordnung’, Math. Z. 38 (1934), 257–282.
lopatinskĭ, Ya.B.: ‘On a method for reducing boundary value problems for a system of differential equations of elliptic type to regular integral equations’, Ukrain. Mat. Zh. 5, no. 2 (1953), 123–151 (in Russian).
Vishk, M.I.: ‘On strongly elliptic systems of differential equations’, Mat. Sb. 29, no. 3 (1951), 615–676.
Ahlfors, L.V.: ‘Conformality with respect to Riemannian metrics’, Ann. Acad. Sci. Fenn. Sen A1 206 (1955), 1–22.
Ladyzhenskaya, O.A. and Ural’tseva, N.N.: Equations aux dérivées partielle du type elliptique, Dunod, 1969 (translated from the Russian).
Gilbaro, D. and Trudinoer, N.S.: Elliptic partial differential equations of second order, Springer, 1977.
Potter, M.H. and Weinberger, H.F.: Maximum principles in differential equations, Prentice-Hall, 1967.
Garabedian, P.R.: Partial differential equations, Wiley, 1964.
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, Chapt. 1; 2 (translated from the French).
Lang, S.: Linear algebra, Addison-Wesley, 1966.
Halmos, P.R.: Introduction to Hubert space and the theory of spectral multiplicity, Chelsea. 1951.
Dunford, N. and Schwartz, J.T.: Linear operators, 1-2, Interscience, 1958-1959.
Cramér, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Rao, C.R.: Linear statistical inference and its applications, Wiley, 1965.
Zacks, S.: The theory of statistical inference, Wiley, 1971.
Scheffé, H.: Analysis of variance, Wiley, 1959.
Gel’fond, A.O.: Transcendental and algebraic numbers, Dover, reprint, 1960 (translated from the Russian).
Baker, A.: ‘Effective methods in the theory of numbers’, in Actès Congr. Internat Mathématiciens Nice, 1970, Vol. 1, Gauthier-Villars, 1971, pp. 19-26.
Fbl’dman, N.I.: ‘An improvement of the estimate for a linear form in the logarithms of algebraic numbers’, Math. USSR Sb. 6 (1968), 393–406. (Mat Sb. 77, no. 3 (1968), 423-436)
Fel’dman, N.I.: ‘An effective refinement of the exponent in Iiouville’s theorem’, Math. USSR Izv. 5, no. 5 (1971), 985–1002. (Izv. Akad. Nauk SSSR Ser. Mat. 35, no. 5 (1971), 973-990)
Current problems of analytic number theory, Minsk, 1974 (in Russian).
Baker, A.: Transcendental number theory, Cambridge Univ. Press, 1975.
Shorey, T.N. and Tudeman, R.: Exponential Diophantine equations, Cambridge Univ. Press, 1986.
Bourbaki, N.: Elements of mathematics. Algebra: Modules. Rings. Forms, 2, Addison-Wesley, 1975, Chapt. 4; 5; 6 (translated from the French).
Kolmogorov, A.N. and Fomin, S.V.: Elements of the theory of functions and functional analysis, 1–2, Graylock, 1957-1961 (translated from the Russian).
Taylor, A.E. and Lay, D.C: Introduction to functionalanalysis, Wiley, 1980.
Jordan, C.: Traité des substitutions et des équations algébriques, Paris, 1870.
Dickson, L.E.: Linear groups, Leipzig, 1901.
Dixon, J.D.: The structure of linear groups, v. Nostrand Rein-hold, 1971.
Artin, E.: Geometric algebra, Interscience, 1957.
Bass, H.: Algebraic K-theory, Benjamin, 1968.
Borel, A.: Linear algebraic groups, Benjamin, 1969.
Dieudonné, J.A.: La géométrie des groups classiques, Springer, 1955.
Mal’cev, A.I. [A.I. Mal’tsev]: ‘On the faithful representation of infinite groups by matrices’, Transi Amer. Math Soc. (2) 45 (1965), 1–18.
Mal’cev, A.I. [A.I. Mal’tsev]: ‘On some classes of infinite solvable groups’, Transi Amer. Math. Soc. 2 (1956), 1–22.
Platonov, V.P.: The theory of algebraic linear groups and periodic groups’, Transi Amer. Math. Soc. (2) 69 (1968), 61–110. (Izv. Akad. Nauk SSSR Ser. Mat. 30, no. 3 (1966), 573-620)
Platonov, V.P.: The Tannaka-Artin problem and reduced K-theory’, Math. USSR Izv. 10 (1976), 211–243. (Izv. Akad. Nauk SSSR Ser. Mat. 40, no. 2 (1976), 227-261)
Borel, A., et al. (Eds.): Seminar on algebraic groups and related finite groups, Lecture notes in math., Springer, 1970.
Steinberg, R.: Lectures on Cheyalley groups, Yale Univ. Press, 1968.
Suprunenko, D.A.: Matrix groups, Amer. Math. Soc., 1976 (in Russian).
Tits, J.: ‘Free subgroups in linear groups’, J. of Algebra 20 (1972), 250–270.
Chevalley, C.: ‘Sur certains groupes simples’, Tbhoku Math. J. 7 (1955), 14–66.
Brauer, R. and Feit, W.: ‘An analogue of Jordan’s theorem in characteristic p’, Ann. of Math. (2) 84, no. 1 (1966), 119–131.
Draxl, P. and Kneser, M.: SK1 von Schiefkörpen, Springer, 1980.
Wehfrrrz, B.: Infinite linear groups. Springer, 1973.
Merzlyakov, Yu.I.: ‘Linear groups’, J. Soviet Math. 1, no. 5 (1973), 571–593. (Itogi Nauk. Algebra Topol. Geom. 1970 (1971), 75-110)
Carter, R.W.: Simple groups of Lie type, Wiley, 1972.
O’Meara, O.T.: ‘A survey of the isomorphism theory of the classical groups’, in Ring theory and algebra, Vol. 3, M. Dekker, 1980, pp. 225-242.
Hadamard, J.: Lectures on Conchy’s problem in linear partial differential equations, Dover, reprint, 1952.
Bers, L., John, F. and Schbchter, M.: Partial differential equations, Interscience, 1964.
Brrsadze, A.V.: Equations of the mixed type, Pergamon, 1964 (translated from the Russian).
Brrsadze, A.V.: Equations of mathematical physics, Mir, 1980 (translated from the Russian).
Vladdorov, V.S.: Equations of mathematical physics, Mir, 1984 (translated from the Russian).
Gel’fand, I.M. and Shilov, G.E.: Generalized Junctions, Acad. Press, 1964.
Gårding, L.: ‘Cauehy’s problem for hyperbolic equations’, in Third Congress Scand Math. Helsinki, 1957, Mcreators Tryckeri, 1958, pp. 104-109.
Dezin, A.A.: ‘Boundary problems for certain symmetric linear first-order systems’, Mat Sb. 49, no. 4 (1959), 459–484 (in Russian).
Courant, R and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Ladyzhenskaya, O.A.: A mixed problem for a hyperbolic equation, Moscow, 1953 (in Russian).
Leray, J., Gårdino, L. and Kotake, T.: ‘Uniformisation et developpement asymptotique de la solution du problème de Cauchy linéaire à données holomorphes; analogie avec la théorie des ondes asymptotiques et approchées’, Bull. Soc. Math. France 92 (1964), 236–361.
Petrovskiĭ, I.G.: Partial differential equations, Saunders, 1967 (translated from the Russian).
Smirnov, V.I.: A course of higher mathematics, 2, Addison-Wesley, 1964 (translated from the Russian).
Tichonoff, A.N. [A.N. Tkhonov] and Samarskiĭ, A.A: Differentialgleichungen der mathematischen Physik, Deutsch. Verlag Wissenschaft, 1959 (translated from the Russian).
Hörmander, L.: Linear partial differential operators, Springer, 1976.
Hörmander, L.: The analysis of linear partial differential operators, I–IV, Springer, 1983–1985.
Garabbdian, P.R.: Partial differential equations, Wiley, 1964.
John, F.: Partial differential equations, Springer, 1974.
Lehmann, E.: Testing statistical hypotheses, Wiley, 1986.
Welsh, D.J.A.: Matroid theory, Acad. Press, 1976.
Chernikov, S.N.: Lineare Ungleichungen, Deutsch. Verlag Wissenschaft, 1971 (translated from the Russian).
Kuhu, H.W. and Tucker, A.W. (eds.): Linear inequalities and related systems, Princeton Univ. Press, 1956.
Minkowski, H.: Geometrie der Zahlen, Chelsea, reprint, 1953.
Chernikov, S.N.: ‘A generalization of the Kronecker—Capelli theorem on systems of linear equations’, Mat. Sb. 15, no. 3 (1944), 437–448 (in Russian).
Chernikov, S.N.: ‘Systems of linear inequalities’, Uspekhi Mat. Nauk 8, no. 2 (1953), 7–73 (in Russian).
Chernikov, S.N.: ‘Algebraic theory of linear inequalities’, Ukrain Math. J. 19, no. 1 (1967), 29–67. (Ukrain. Mat. Zh. 19, no. 1 (1967), 36-80)
Chernikov, S.N.: The convolution of finite systems of linear inequalities’, Dopovidi Akad. Nauk URSR Ser. A 1 (1969), 32–35 (in Russian).
Krasovskiĭ, N.N. and Eremin, I.I.: ‘linear inequalities and some of their applications’, Ukrain Math. J. 25, no. 4 (1973), 384–395. (Ukrain. Mat. Zh. 25, no. 4 (1973), 465-478)
Farkas, J.: ‘Ueber die Theorie der einfachen Ungleichungen’, J. Reine Angew. Math. 124 (1901), 1–24.
Dines, L.L. and McCoy, N.H.: ‘On linear inequalities’, Trans. Roy Soc. Canada Sect. 3 27 (1933), 37–70.
Grünbaum, B.: Convex polytopes, Interscience, 1967.
McMullen, P. and Stephard, G.C.: Convex polytopes and the upper bound conjecture, Cambridge Univ. Press, 1971.
Gruber, P.M. and Lekkerkerker, C.G.: Geometry of numbers, North-Holland, 1987.
Grötschel, M., Lovasz, L. and Schrijver, A.: Geometric algorithms and combinatorial optimization, Springer, 1988.
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian).
Berezin, I.S. and Zhidkov, N.P.: Computing methods, Pergamon, 1973 (translated from the Russian).
Davis, P.J.: Interpolation and approximation, Dover, reprint, 1975.
Stbffensbn, J.F.: Interpolation, Chelsea, reprint, 1950.
Peano, G.: Calcolo geometrico seconda l’Ausdehnungslehre di H. Grassmann, Bocca, 1888.
Gel’fand, I.M.: Lectures on linear algebra, Interscience, 1961 (translated from the Russian).
Toeplitz, O.: ‘Ueber die Auflösung unendlichvieler linearer Gleichungen mit unendlichvielen Unbekannten’, Rend Circolo Mat. Palermo 28 (1909), 88–96.
Banach, S.S.: A course of functional analysis, Kiev, 1948 (in Ukrainian).
Taylor, J.L.: ‘A general framework for a multi-operator functional calculus’, Advances in Math. 9, no. 2 (1972), 183–252.
Enflo, P.: ‘A counterexample to the approximation problem in Banach spaces’, Acta Math. 130 (1973), 309–317.
Schaefer, H.H.: Topological vector spaces, Macmillan, 1966.
Functional analysis, Library of Math. Handbooks, Moscow, 1972 (in Russian).
Lomonosov, V.I.: ‘Invariant subspaces of a family of operators that commute with a completely continuous operator’, Funktsional. Anal i Prilozhen. 3 (1973), 55–56 (in Russian).
Hilbert, D.: Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen, Chelsea, reprint, 1953.
Dunford, N. and Schwartz, J.T.: Linear operators. General theory, 1, Interscience, 1958.
Dunford, N. and Schwartz, J.T.: Linear operators. Spectral theory, 2, Interscience, 1963.
Dunford, N. and Schwartz, J.T.: Linear operators. Spectral operators, 3, Interscience, 1971.
Gokhberg, I.Ts. and Kreĭn, M.G.: Theory and applications of Volterra operators in Hilbert space, Amer. Math. Soc., 1970 (translated from the Russian).
Szökevalfi-Nagy, B. and Foiass, C.: Harmonic analysis of operators on Hilbert space, North-Holland, 1970 (translated from the French).
Bourbaki, N.: Elements of mathematics. Algebra: Modules. Rings. Forms, 2, Addison-Wesley, 1975, Chapt. 4; 5; 6 (translated from the French).
Gohberg, I. and Goldberg, S.: Basic operator theory, Birkhäuser, 1977.
Gohberg, I.C. and Kreĭn, M.G.: Introduction to the theory of linear nonselfadjoint operators, Amer. Math. Soc., 1969 (translated from the Russian).
Halmos, P.R.: Finite-dimensional vector spaces, v. Nostrand, 1958.
Pazy, A.: Semigroups of linear operators and applications to partial differential equations, Springer, 1983.
Pearcy, C. (ed.): Topics in operator theory, Amer. Math. Soc., 1974.
Vasilescu, F.H.: Analytic functional calculus, Reidel, 1982.
Petrovskiĭ, I.G.: Ordinary differential equations, Prentice-Hall, 1966 (translated from the Russian).
Pontryagin, L.S.: Ordinary differential equations, Addison-Wesley, 1962 (translated from the Russian).
Arnol’d, V.I.: Ordinary differential equations, M.I.T., 1973 (translated from the Russian).
Liapounoff, A.M. [A.M. Lyapunov]: Probleme général de la stabilité du mouvement, Princeton Univ. Press, 1947 (translated from the Russian). Reprint, Kraus, 1950.
Demidovich, B.P.: Lectures on the mathematical theory of stability, Moscow, 1967 (in Russian).
Bylov, B.F., Vinograd, R.E., Grobman, D.M. and Nemytskiĭ, V.V.: The theory of the Lyapunov exponent and its application to questions of stability, Moscow, 1965 (in Russian).
Hartman, P.: Ordinary differential equations, Birkhäuser, 1982.
Bellman, R.E.: Stability theory of differential equations, McGraw-Hill, 1953.
Coddington, E.A. and Levinson, N.: Theory of ordinary differential equations, McGraw-Hill, 1955.
Pontryagin, L.S.: Ordinary differential equations, Addison-Wcsley, 1962 (translated from the Russian).
Kamke, E.: Differentialgleichungen. Lösungsmethoden und Lösungen, 1. Gewähnliche Differentialgleichungen, Chelsea, reprint, 1947.
Sansone, G.: Ordinary differential equations, 1-2, Zanichelli, 1948-1949 (in Italian).
Hartman, P.: Ordinary differential equations, Birkhäuser, 1982.
Tricomi, F.: Repertorium der Theorie der Differentialglekhungen, Springer, 1968.
Golubev, V.V.: Vorlesungen Über Differentialgleichungen im Komplexen, Deutsch. Verlag Wissenschaft, 1958 (translated from the Russian).
Ince, E.L.: Ordinary differential equations, Dover, reprint, 1956.
Coddinoton, E.A. and Levinson, N.: Theory of ordinary differential equations, McGraw-Hill, 1955.
Pontryagin, L.S.: Ordinary differential equations, Addison-Wcslcy, 1962 (translated from the Russian).
Arnol’d, V.I.: Ordinary differential equations, M.I.T., 1973 (translated from the Russian).
Demidovich, B.P.: Lectures on the mathematical theory of stability, Moscow, 1967 (in Russian).
Bitsadze, A.V.: The equations of mathematical physics, Moscow, 1976 (in Russian).
Ladyzhenskaya, O.A., Solonnikov, V.A. and Ural’tseva, N.N.: Linear and quasi-linear equations of parabolic type, Amer. Math. Soc., 1968 (translated from the Russian).
Friedman, A.: Partial differential equations of parabolic type, Prentice-Hall, 1964.
Eidel’man, S.D.: Parabolic systems, North-Holland, 1969 (translated from the Russian).
Il’in, A.M., Kalashnkov, A.S. and Oleinik, O.A.: ‘linear equations of the second order of parabolic type’, Russian Math. Surveys 17, no. 3 (1962), 1–143. (Uspekhi Mat. Nauk. 17, no. 3 (1962), 3-46)
Baderko, E.A.: ‘Solution of a heat conduction problem for concentrated heat capacities by the method of parabolic potentials’, Differential Eq. 8 (1972), 940–947. (Differential. Uravn. 8 (1972), 1225-1234)
Cannon, J.R.: The one-dimensional heat equation, Addison-Wesley, 1984.
Ciliberto, C.: ‘Formule di maggiorazione e teoremi di esistenza per le soluzioni delle equazioni paraboliche in due variabili’, Richerche di Mat 3 (1954), 1234–1249.
Gbvrey, M.: Oeuvres, C.N.R.S., 1970.
Ughi, M.: ‘Stime a priori la soluzioni di problemi al contorno di quarto e quinto tipo per una equazione parabolica lineare’, Atti Sem. Mat Fis. Univ. Modena 26 (1977), 304–328.
Potter, M.H. and Weinberger, H.F.: Maximum principles in differential equations, Prentice-Hall, 1967.
Yudin, D.B. and Gol’shtein, E.G.: Linear programming, Israel Progr. Sci. Transl., 1965 (translated from the Russian).
Dantzig, G.B.: Linear programming and extensions, Princeton Univ. Press, 1963.
Eremin, I.I. and Astaf’ev, N.N.: Introduction to the theory of linear and convex programming, Moscow, 1976 (in Russian).
Karmanov, V.G.: Mathematical programming, Moscow, 1975 (in Russian).
Ter-Krikorov, A.M.: Optimal control and mathematical economics, Moscow, 1977 (in Russian).
Borgwardt, K.H.: The simplex method: a probabilistic analysis, Springer, 1987.
Chva’tal, V.: Linear programming, Freeman, 1983.
Karmarkar, N.: ‘A new polynomial-time algorithm for linear programming’, Combinatorica 4 (1984), 373–395.
Khachiyan, L.G.: ‘A polynomial algorithm in linear programming’, Soviet Math. Dokl. 20 (1979), 191–194. (Dokl. Akad. Nauk SSSR 244 (1979), 1093-1096)
Klee, V. and Minty, G.J.: ‘How good is the simplex algorithm?’, in O. Shisha (ed.): Inequalities, Vol. 111, Acad. Press, 1972, pp. 159-175.
Megiddo, N.: ‘Linear programming in linear time when the dimension is fixed’, J. Assoc. Computing Mach. 31 (1984), 114–127.
Schrdver, A.: Theory of linear and integer programming, Wiley, 1986.
Shamir, R.: ‘The efficiency of the simplex method: a survey’, Management Science 33 (1987), 301–334.
Linnik, Yu.V.: Methode der kleinste Quadrate in moderner Darstellung, Deutsch. Verlag Wissenschaft, 1961 (translated from the Russian).
Cramer, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Kendall, M.G. and Stuart, A.: The advanced theory of statistics, 2. Inference and relationship, Macmillan, 1979.
Rao, C.R.: Linear statistical inference and its applications, Wiley, 1965.
Kirillov, A.A.: Elements of the theory of representations, Springer, 1976 (translated from the Russian).
Curtis, C.W. and Reiner, I.: Methods of representation theory, 1–2, Wiley, 1981-1987.
Serre, J.-P.: Representations linéaires des groupes finis, Hermann, 1967.
Nàĭmàrk, M.A and Shtern, A.I.: Theory of group representations, Springer, 1982 (translated from the Russian).
Weyl, H.: The classical groups, their invariants and representations, Princeton Univ. Press, 1946.
Zhelobenko, D.P.: Compact Lie groups and their representations, Amer. Math. Soc., 1973 (translated from the Russian).
Springer, T.A.: Invariant theory, Lecture notes in math., 585, Springer, 1977.
Humphreys, J.E.: Introduction to Lie algebras and representation theory, Springer, 1972.
Bröcker, Th. and tom Dieck, T: Representations of compact Lie groups, Springer, 1985.
Hardy, G.H.: Divergent series, Clarendon Press, 1949.
Cooke, R.G.: Infinite matrices and sequence spaces, MacMillan, 1950.
Kangro, G.F.: Theory of summability of sequences and series’, J. Soviet Math. 5 (1976), 1–45. (Itogi Nauk. i Tekhn. Mat. Anal 12 (1974), 5-70)
Baron, S.A.: Introduction to the theory of summability of series, Tartu, 1966 (in Russian).
Hardy, G.H.: Divergent serin, Clarendon Press, 1949.
Cooke, R.G.: Infinite matrices and sequence spaces, MacMillan, 1950.
Kangro, G.F.: ‘Theory of summability of sequences and series’, J. Soviet Math. 5 (1976), 1–45. (Itogi Nauk. i Tekhn. Mat. Anal. 12 (1974), 5-70
Baron, S.A.: Introduction to the theory of summability of series, Tartu, 1966 (in Russian).
Shafarevich, I.R.: ‘Algebraic surfaces’, Proc. Steklov Inst. Math. 75 (1967). (Trudy Mat. Inst. Steklov. 75 (1965))
Mumford, D.: Lectures on curves on an algebraic surface, Princeton Univ. Press, 1966.
Zariski, O.: Algebraic surfaces, Springer, 1971.
Todd, J.A.: Projective and analytical geometry, Pitman, 1947, Chapt. VI.
Bohr, H.: Almost-periodic junctions, Chelsea, reprint, 1947 (translated from the German).
Favard, J.: Leçons sur les fonctions presque-périodiques, Gauthier-Villars, 1933.
Erugin, N.P.: Linear systems of ordinary differential equations with periodic and quasi-periodic coefficients, Acad. Press, 1966 (translated from the Russian).
Massera, J.L. and Schaffer, J.J.: Linear differential equations and function spaces, Acad. Press, 1986.
Mukhamadiv, E.: ‘On invertibility of differential operators in the space of continuous functions bounded on the real axis’, Soviet Math. Dokl. 12 (1971), 49–52. (Dokl. Akad. Nauk SSSR 196, no. 1 (1971), 47-49)
Itogi Nauk. i Tekhn. Mat. Anal. 12 (1974), 71-146.
Hale, J.K.: Ordinary differential equations, Wiley, 1969.
Shtokalo, I.Z.: Linear differential equations with variable coefficients: criteria of stability and unstability of their solutions, Hindushtan Publ. Comp., 1961 (translated from the Russian).
Erugin, N.P.: Linear systems of ordinary differential equations with periodic and quasi-periodic coefficients, Acad. Press, 1966 (translated from the Russian).
Yakubovich, V.A. and Starzhinskiĭ, V.M.: Linear differential equations with periodic coefficients, Wiley, 1975 (translated from the Russian).
Brockett, R.W.: Finite dimensional linear systems, Wiley, 1970.
Halb, J.K.: Ordinary differential equations, Wiley, 1969.
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Golan, J.: Localization of noncommutative rings, M. Dekker, 1975.
Stenström, B.: Rings of quotients, Springer, 1975.
Oystaeyen, F. Van and Verschoren, A.: Reflectors and localization. Application to sheaf theory, M. Dekker, 1979.
Lambek, J.: Torsion theories, additive semantics and rings of quotients, Lecture notes in math., 77, Springer, 1971.
Aleksandrov, P.S.: Lectures on analytical geometry, Moscow, 1968 (in Russian).
Gel’fand, I.M.: Lectures on linear algebra, Moscow, 1971 (in Russian).
Efhiov, N.V. and Rozendorn, E.R.: Linear algebra and nulti-dimnensional geometry, Moscow, 1970 (in Russian).
Halmos, P.R.: Finite-dimensional vector spaces, v. Nostrand, 1958.
Bourbaki, N.: Elements of mathematics, 2. Linear and multilinear algebra, Addison-Wesley, 1973 Chapt. 2 (translated from the French).
Jacobson, N.: Lectures in abstract algebra, 2. Linear algebra, v. Nostrand, 1953.
Kranosel’skiĭ, M.A., et al.: Approximate solution of operator equations, Wolters-Noordhoff, 1972 (translated from the Russian).
Collatz, L.: Funktionalanalysis und numerische Mathematik, Springer, 1964.
Ortega, J.M. and Rheinboldt, W.C.: Iterative solution of nonlinear equations in several variables, Acad. Press, 1970.
Bellman, R.E. and Kalaba, R.: Quasilinearization and nonlinear boundary-value problems, Amer. Elsevier, 1970.
Pobedrya, B.E.: ‘Numerical methods for visco-elastic problems’, in Elasticity and inelasticity, Vol. 3, Moscow, 1973, pp. 95-173 (in Russian).
Oden, J.T.: Finite elements of nonlinear continua, McGraw-Hill, 1972.
Zenkevich, O.: The method of finite elements in engineering, McGraw-Hill, 1977.
Svirskĭ, I.V.: Methods of Bubnov—Galerkin type and succesive approximations, Moscow, 1968 (in Russian).
Mkhlin, S.G.: Numerical realization of variational methods, Moscow, 1966 (in Russian).
Fučik, S., Kratochvil, A. and Nečas, J.: ‘Kačanov—Galerkin method and its applications’, Acta Univ. Carolinae Math. Phys. 15, no. 1-2 (1974), 31–33.
Eisenstat, S.C., Schultz, M.H. and Sherman, A.H.: ‘The application of sparse matrix methods to the numerical solution of nonlinear elliptic partial differential equations’, in D.L. Colton and R.P. Gilbert (eds.): Constructive and computational methods for differential and integral equations, Lectures notes in math., Vol. 430, Springer, 1974, pp. 131-153.
D’yakonov, E.G.: Minimization of computational work. Asymptotically optimal algorithms for elliptic problems, Moscow, 1969 (in Russian).
Keller, J.B. and Antman, S. (eds.): Bifurcation theory and nonlinear eigenvalue problems, Benjamin, 1969.
Skrypnk, I.V.: Non-linear elliptic equations of higher order, Kiev, 1973 (in Russian).
Ladyzhenskaya, O.A: The mathematical theory of viscous incompressible flow, Gordon & Breach, 1963 (translated from the Russian).
D’yakonov, E.G.: Difference methods for solving boundary value problems, 2. Non-stationary problems, Moscow, 1972 (in Russian).
Fairweather, G.: Finite element Galerkin methods for differential equations, M. Dekker, 1978.
Luskin, M.: ‘A Galerkin method for nonlinear parabolic equations with nonlinear boundary conditions’, SIAM J. Num. Anal 16, no. 2 (1979), 284–299.
Gohberg, I.C., Kaashoek, MA. and Lay, D.C.: ‘Equivalence, linearization, and decomposition of holomorphic operator functions’, J. Fund Anal. 28 (1978), 102–144.
Lefschetz, S.: Algebraic topology, Amer. Math. Soc., 1955.
Zelinsky, D.: ‘Linearly compact modules and rings’, Amer. J. Math 75, no. 1 (1953), 79–90.
Lbptin, H.: ‘Linear kompakte Moduln und Ringe’, Math. Z. 62 (1955), 241–267.
Lettin, H.: ‘Linear kompakte Moduln und Ringe II’, Math. Z. 66 (1957), 289–327.
Bourbaki, N.: Algèbre commutative, Hermann, 1961, Chapt. 3. Graduations, filtrations et topologies.
Warner, S.: Topoiogical fietds, North-Holland, 1989, Chapt. 5, Sect. 31.
Bourbaki, N.: Algebra, Springer, 1988, Chapts. 4-7 (translated from the French).
Zariski, O. and Samuel, P.: Commutative algebra, 1, Springer, 1975.
Rozanov, Yu.A.: Stationary random processes, Holden-Day, 1967 (translated from the Russian).
Rozanov, Yu.A.: Innovation processes, Wüey, 1977 (translated from the Russian).
Ibragimov, I.A. and Linnik, Yu.V.: Independent and stationary sequences of random variables, Wolters-Noordhoff, 1971 (translated from the Russian).
Doob, J.L.: Stochastic processes, Chapman and Hall, 1953.
Ibragimov, I.A. and Rozanov, Yu.A.: Gaussian random processes, Springer, 1978 (translated from the Russian).
Scifert, H. and Threlfall, W.: Lehrbuch der Topologie, Chelsea, 1980.
Pontryagin, L.S.: ‘Smooth manifolds and their applications in homotopy theory’, Transl. Amer. Math. Soc. 11 (1959), 1–114. (Trudy Mat. Inst. Steklov. 45 (1955))
Spanier, E.: Algebraic topology, Springer, 1978.
Linnik, Yu.V.: ‘On the representation of large numbers by positive ternary quadratic forms’, Izv. Akad. Nauk SSSR Ser. Mat. 4, no. 4-5 (1940), 363–402 (in Russian).
Linnik, Yu.V.: Ergodic properties of algebraic fields, Springer, 1968 (translated from the Russian).
Malyshev, A.V.: ‘The representation of integers by positive quadratic forms’, Trudy Mat Inst. Steklov. 65 (1962).
Malyshev, A.V.: ‘A new version of the ergodic method of Yu.V. Linnik in number theory’, J. Soviet Math. 11 (1978), 346–352. (Zap. Nauchn. Sem. Leningr. Otdel. Mat. Inst. 50 (1975), 179-186)
Malyshev, A.V.: ‘Yu.V. Linnik’s ergodic method in number theory’, Acta Arithm. 27 (1975), 555–598.
Peters, M.: ‘Darstellungen durch definite ternäre quadratische Formen’, Acta Arithm. 34 (1977), 57–80.
Goldstein, H.: Classical mechanics, Addison-Wesley, 1957.
Uhlenbeck, G.E. and Ford, G.V.: Lectures in statistical mechanics, Amer. Math. Soc., 1963.
Bogolyubov, N.N.: Collected works, 2, Kiev, 1970 (in Russian).
Cercionani, C.: The Bottzmann equation and its appfications, Springer, 1988.
Gantmacher, F. [F.R. Gantmakher]: Lectures in analytical mechanics, Mir, 1975 (translated from the Russian).
Prachar, K.: Primzohherteihung, Springer, 19S7.
Ghandrasekharan, K.: Arithmetical functions, Springer, 1970.
Monge, G.: Application de l’anatyse à la géométrie, Bachelier, 1850.
Shulkovskiĭ, V.I.: Classical differential geometry in a tensor setting, Moscow, 1963 (in Russian).
Blaschkb, W. and Lechtweiss, K.: Elementare Differentialgeometrie, Springer, 1973.
Berger, M. and Gostiaux, B.: Differential geometry: manifolds, curves and surfaces. Springer. 1988 (translated from the French).
Liouvillb, J.: J. Math. Pures Appl. 2 (1837), 16–35.
Kamke, E.: Differentialgleichungen: Lösungsmethoden und Lösungen, 1. Gewöhnliche Differentialgleichungen, Chelsea, reprint, 1947.
Trrchmarsh, E.C.: Eigenfunction expansions associated with second-order differential equations, 1-2, Clarendon Press, 1946-1948.
Ince, E.L.: Ordinary differential equations, Dover, reprint. 1956.
Liouville, J.: ‘Sur des classes très étendues de quantités dont la valeur n’ert ni algebrique, mi méme tionellen algébriques’, C.R. Acad. Sci. Paris 18 (1844), 883–885.
Gel’pond, A.O.: Trmscmemtal and algebraic numbers, Dover, reprint, 1960 (translated from thé Russian).
Perron, O.: Die Lehre von den Kettenbrüchen, 1, Teubner, 1977, Sect. 36.
Perron, O.: Irrationalzahlen. Chelaee, reprint, 1948.
Abel, N.H.: ‘Ueber einige bestimmte Integrale’, J. Reine Angew. Math. 2 (1827), 22–30.
Liouville, J.: J. Math. Pures Appl. 3 (1838), 342–349.
Ostrogradskiĭ, M.V.: Collected works, VoL 3, Kiev, 1961, pp. 124-126 (in Russian).
Jacobi, C.G.J.: Gesammelte Werke, 4, Chelsea, reprint, 1969.
Pontryaoin, L.S.: Ordinary differential equations, Addison-Wesley, 1962 (translated from the Russian).
Abnol’d, V.I.: Ordinary differential equations, M.I.T., 1973 (translated from the Russian).
Hartman, P.: Ordinary differential equations, Birkhäuser, 1982.
Blascheke, W. and Lhchtwbiss, K.: Elementare Differentialgeometrie, Springer, 1973.
Berger, M. and Gostiaux, B.: Differential geometry: manifolds, curves and surfaces, Springer, 1988 (translated from the French).
Cauchy, A.L.: C.R. Acad Sci. Paris 19 (1844), 1377–1384.
Monge, G.: Application de l’anatyse à la géométrie, Bachelier, 1850, pp. 609-616.
Brrsadzb, A.V.: Foundations of the theory of analytic functions of a complex variable, Moscow, 1972 (in Russian).
Vladimirov, V.S.: Methods of the theory of functions of several complex variables, M.I.T, 1966 (translated from the Russian).
Liouville, J.: ‘Sur les classes très étendues de quantités dont la valeur n’est ni algébrique, ni même réductible à des irrationelles algébriques’, C.R. Acad. Sci. Paris 18 (1844), 883–885; 910-911.
Thue, A.: ‘Ueber Annäherungswerte algebraischer Zahlen’, J. Reine Angew. Math. 135 (1909), 284–305.
Siegel, C.L.: ‘Approximation algebraischer Zahlen’, Math. Z. 10 (1921), 173–213.
Dyson, F.J.: The approximation to algebraic numbers by rationals’, Acta Math. 79 (1947), 225–240.
Roth, K.F.: ‘Rational approximation to algebraic numbers’, Mathematika 2 (1955), 1–20; 168.
Baker, A.: ‘Contributions to the theory of Diophantine equations I’, Philos. Trans. Roy. Soc. London Ser. A 263 (1968), 173–191.
Sprindzhuk, V.G.: ‘Rational approximations to algebraic numbers’, Math. USSR Izv. 5 (1971), 1003–1019. (Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 991-1007)
Fbl’dman, N.I.: ‘An effective refinement of the exponent in Iiouville’s theorem’, Math. USSR Izv. 5 (1971), 985–1002. (Izv. Akad Nauk SSSR Ser. Mat. 35 (1971), 973-990)
Lipschitz, R.: ‘De explicatione per series trigonometricas insttuenda ranctkmum umius variablis arbitrariarum, et praecipue earum, quae per variablis spatium finitum valorum maximorum et minimorum numerum habent infintum disquisitio’, J. Reine Angew. Math. 63 (1864), 296–308.
Zygmund, A.: Trigonometric series, 1-2, Cambridge Univ. Press, 1988.
Natanson, I.P.: Constructive function theory, 1-3, F. Ungar, 1964-1965 (translated from the Russian).
Zygmund, A.: Trigonometric series, 1-2, Cambridge Univ. Press, 1988.
Nikol’skiĭ, S.M.: Approximation of functions of several variables and imbedding theorems, Springer, 1975 (translated from the Russian).
Besov, O.V., Il’in, V.P. and Nikol’skiĭ, S.M.: Integral representations of Junctions and imbedding theorems, Wiley, 1978 (translated from the Russian).
J. McCarthy: ‘Recursive functions of symbolic expressions and their computation by machine’, Comm. ACM 3 (1960), 184.
Lavrov, S.S. and Silagadze, G.S.: Automatic data processing The language Lisp and its realization, Moscow, 1978 (in Russian).
Higman, B.: A comparative study of programming languages, Amer. Elsevier, 1968.
Listing, I.B.: Vorstudien zur Topologie, Göttingen, 1847.
Crowell, R.H. and Fox, R.H.: Introduction to knot theory, Ginn, 1963.
Kauffman, L.H.: On knots, Princeton Univ. Press, 1987.
Hardy, G.H. and Littlewood, J.E: ‘A new proof of a theorem on rearrangements’, J. London Math. Soc. 23 (1948), 163–168.
Cassels, J.W.S.: An introduction to the geometry of numbers, Springer, 1959.
McGbheb, O.C., Piono, L. and Surra, B.: ‘Hardy’s inequality and the L’ norm for exponential sums’, Ann. of Math. 113 (1981), 613–618.
Konjaoin, S.V. [S.V. Konyagin]: ‘On a problem of Little-wood’, Math. USSR Izv. 18, no. 2 (1982). 205–225. (Izv. Akad. Nauk SSSR 45 (1981). 243-265)
Graham, C.C. and McGbheb, O.C.: Essays in commutative harmonic analysis, Springer, 1979.
Stegeman, J.D.: ‘On the constant in the Littlewood problem’, Math. Ann. 261 (1982), 51–54.
Savelov, A.A.: Plane cunts, Moscow, 1960 (in Russian).
Fladt, K.: Analytische Geometrte spezieller ebener Kurven, Akad. Verlagsgesellschaft, 1962.
Gomes Teixeira, F.: Traité des courbes, 1-3, Chelsea, reprint, 1971.
Kagan, V.F.: The foundations of geometry, 1, Moscow-Leningrad, 1949 (in Russian).
Efimov, N.V.: Höhere Geometrie, Deutsch. Verlag Wissen-schaft., 1960 (translated from the Russian).
Ryzhk, I.M. and Gradshteĭn, I.S.: Tables of integrals, series, and products, Acad. Press, 1980 (translated from the Russian).
Greenberg, M.: Euclidean and non-Euclidean geometries, Freeman, 1974.
Coxeter, H.S.M.: ‘Parallel lines’, Canad. Math. Bull. 21 (1978), 385–397.
Coxeter, H.S.M.: Non-Euclidean geometry, Toronto Univ. Press, 1957.
Bonola, R.: Non-Euclidean geometry, Dover, reprint, 1955.
Coxeter, H.S.M.: Twelve geometric esays, Carbondale, 1968, Chapt. 1.
Lobachevskü, N.I.: Zwei geometrische Abhandlungen, Teubner, 1898 (translated from the Russian).
Bolyai, J.: ‘Appendix. Scientiam spatii absolute veram exhibens,’ in Tentamen, Vol. 1, M. Vásárhelyini Die, 1833.
Aleksandrov, A.D.: ‘Abstract spaces’, in Mathematics, its Content, Methods and Significance, Vol. 3, Amer. Math. Soc., 1962 (translated from the Russian).
Egorov, I.P.: Introduction to non-Euclidean geometries, Penze, 1972 (in Russian).
Efmov, N.V.: Höhere Geometrie, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian).
Kagan, V.F.: The foundations of geometry, 1, Moscow-Leningrad, 1949 (in Russian).
Laptev, B.L.: Nikolaĭ Ivanovich Lobachevskiĭ, Kazan’, 1976 (in Russian).
Norden, A.P.: Elementare Einführung in die Lobatschewskische Geometrie, Deutsch. Verlag Wissenschaft, 1958 (translated from the Russian).
Nur, Yu.Yu.: Lobachevskĭ geometry in an analytic setting, Moscow, 1961 (in Russian).
Raushenbakh, B.V.: Spatial constructions in old Russian paintings, Moscow, 1975 (in Russian).
Rozenfel’d, B.A.: Non-Euclidean spaces, Moscow, 1969 (in Russian).
Smirokov, P.A.: A sketch of the fundamentals of Lobachevskian geometry, Noordhoff, 1964 (translated from the Russian).
Coxeter, H.S.M.: Non-Euclidean geometry, Univ. Toronto Press, 1965.
Coxeter, H.S.M.: ‘Parallel lines’, Canad. Math. Bull. 21 (1978), 385–397.
Coxeter, H.S.M.: The non-Euclidean symmetry of Escher’s picture ‘Circle Limit III’, Leonardo 12 (1979), 19–25; 32.
Coxeter, H.S.M.: ‘Angles and arcs in the hyperbolic plane’, Math. Chronicle (New Zealand) 9 (1980), 7–33.
Berger, M.: Geometry, 1-2, Springer, 1987 (translated from the French).
Greenberg, M.: Euclidean and non-Euclidean geometries, Freeman, 1974.
Sommerville, D.M.Y.: Bibliography of non-Euclidean geometry, Chelsea, reprint, 1970.
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1961.
Bonola, R.: Non-Euclidean geometry, Dover, reprint, 1955.
Lobachevskiĭ, N.I.: Collected works, 4, Moscow-Leningrad, 1948 (in Russian).
Berezin, I.S. and Zhidkov, N.P.: Computing methods, Pergamon, 1973 (translated from the Russian).
Sebastiäo e Silva, J.: ‘Sur une méthode de approximation semblable à celle de Griffe’, Portug. Math. 2 (1941), 271–279.
Householder, A.S. and Stewart, G.W.: The numerical factorization of a polynomial’, SIAM Rev. 13 (1971), 38–46.
Brodetsky, S. and Smeal, G.: ‘On Graeffe’s method for complex roots’, Proc. Cambridge Philos. Soc. 22 (1924), 83–87.
Hildebrand, F.B.: Introduction to numerical analysis, McGraw-Hill, 1974.
Efimov, N.V.: Höhere Geometrie, Deutsch. Verlag Wissenschaft, 1960 (translated from the Russian).
Klein, F.: Vorlesungen über Nicht-Euklidische Geometrie, Springer, 1928.
Kaoan, V.F.: The foundations of geometry, 1-2, Moscow-Leningrad, 1949-1956 (in Russian).
Rozbnfel’d, B.A.: Non-Euclidean spaces, Moscow, 1969 (in Russian).
Rosenfeld, B.A. [B.A. Rozenfel’d]: A history of non-Euclidean geometry, Springer, 1988, Chapt. 6 (translated from the Russian).
Robb, A.A: Geometry of time and space, Cambridge Univ. Press, 1936, p. 406.
Coxeter, H.S.M.: Non-Euclidean geometry, Univ. Toronto Press, 1965, p. 209.
Berger, M.: Geometry, 1-2, Springer, 1987 (translated from the French).
Busemann, H. and Kelly, P.: Projective geometry and projective metrics, Acad. Press, 1953.
Lobatto, R.: Lessen over de differentioal-en integraalrekening, 1-2,’ s Gravenhage, 1851-1852.
Krylov, V.I.: Approximate calculation of integrals, Macmillan, 1962 (translated from the Russian).
Michels, H.H.: ‘Abscissas and weight coefficients for Lobatto quadrature’, Math. Comp. 17 (1963), 237–244.
Stroud, A.H. and Secrest, D.: Gaussian quadrature formulas, Prentice-Hall, 1966.
Cohn, P.M.: Universal algebra, Reidel, 1981.
Raĭkov, D.A.: ‘On the local approximation of differentiable functions’, Dokl. Akad Nauk SSSR 24, no. 7 (1939), 653–656 (in Russian).
Bernshteĭn, S.N.: Collected works, 2, Moscow, 1954 (in Russian).
Brudnyĭ, Yu.A.: ‘Spaces defined by means of local approximations’, Trans. Moscow Math. Soc. 24 (1974), 73–139. (Trudy Moskov. Mat. Obshch. 24 (1971), 69-132)
Peetre, J.: ‘On the theory of L ρλ spaces’, J. Funct. Anal. 4 (1969), 71–87.
Dolgachev, I.V.: ‘Abstract algebraic geometry’, Russian Math. Surveys 2, no. 3 (1974), 264–303. (Itogi Nauk. i Tekhn. Algebra. Topol Geom. 10 (1972), 47-112)
Grothendieck, A.: Local cohomohgy, Springer, 1967.
Grothendieck, A.: Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux, North-Holland, 1968.
Siu, Y.-T. and Trautmann, G.: Gap-sheaves and extension of coherent analytic suhsheaves. Springer, 1971.
Schapira, P.: Théorie des hyperfonctions, Springer, 1970.
Banica, C. and Stanasila, O.: Algebraic methods in the global theory of complex spaces, Wiley, 1976 (translated from the Rumanian).
Siu, Y.-T.: Techniques of extension of analytic objects, M. Dekker, 1974.
Favard, J.: Course de géométrie différentièlle locale, Gauthier-Villars, 1957.
Berger, M. and Gostiaux, B.: Differential geometry: manifolds, curves and surfaces, Springer, 1988 (translated from the French).
Klingenberg, W.: A course in differential geometry, Springer, 1978 (translated from the German).
Spivak, M.: A comprehensive introduction to differential geometry, 1-5, Publish or Perish, 1979.
Pol, E. and Pol, R.: ‘A hereditarily normal strongly zero-dimensional space containing subspaces of arbitrarily large dimension‘, Fund. Math. 102 (1979), 137–142.
Engelkino, R.: Dimension theory, PWN & North-Holland, 1978.
Serre, J.-P.: Local fields, Springer, 1979 (translated from the French).
Cassels, J.W.S. and Fröhlich, A. (eds.): Algebraic number theory, Acad. Press, 1986.
Parshin, A.N.: ‘Abelian coverings of arithmetic schemes’, Soviet Math. Dokl. 19, no. 6 (1978), 1438–1442. (Dokl. Akad Nauk SSSR 243 (1978), 855-858)
Serre, J.-P.: ‘Sur les corps locaux à corps résiduel algébriquement clos’, Bull. Soc. Math. France 89 (1961), 105–154.
Demazure, M. and Gabriel, P.: Groupes algébriques, North-Holland, 1971, pp. 648-674. (Appendix: M. Hazewinkel, Classes de corps local)
Kato, K.: ‘Class field theory and algebraic K-theory’, in M. Raynaud and T. Shioda (eds.): Algebraic geometry, Lecture notes in math., Vol. 1016, Springer, 1983, pp. 109-126.
Kato, K.: ‘Vanishing cycles, ramification of valuations and class field theory’, Duke Math. J. 55 (1987), 629–661.
ParŠn, A.N. [A.N. Parshin]: ‘Local class field theory’, Proc. Steklov Inst. Math. 165 (1985), 157–185. (Trudy Mat. Inst. Steklov. 165 (1984), 143-170)
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian).
Sklyarenko, E.G.: ‘On the theory of generalized manifolds’, Math. USSR Jzv. 5, no. 4 (1971), 845–858. (Izv. Akad Nauk SSSR Ser. Mat. 35 (1971), 831-843)
Harlap, A.E. [A.E. Kharlap]: ‘Local homology and cohomology, homology dimension and generalized manifolds’, Math. USSR Sb. 25, no. 3 (1975), 323–349. (Mat. Sb. 96 (1975), 347-373)
Dold, A.: Lectures on algebraic topology, Springer, 1972, Sect. IV.3.
Gnedenko, B.V. and Kolmogorov, A.N.: Limit distributions for sums of independent random variables, Addison-Wesley, 1954 (translated from the Russian).
Ibragimov, I.A. and Linnik, Yu.V.: Independent and stationary sequences of random variables, Wolters-Noordhoff, 1971 (translated from the Russian).
Petrov, V.V.: Sums of independent random variables, Springer, 1975 (translated from the Russian).
Prokhorov, Yu.V. and Rozanov, Yu.A: Probability theory, Springer, 1969 (translated from the Russian).
Sirazhdinov, S.Kh.: Limit theorems for homogeneous Markov chains, Tashkent, 1955 (in Russian).
Statulyavichus, V.A.: ‘Limit theorems and asymptotic expansions for non-stationary Markov chains’, Litovsk. Mat. Sb. 1 (1961), 231–314 (in Russian). English abstract.
Statulyavichus, V.A.: ‘Limit theorems for sums of random variables that are connected in a Markov chain I’, Litovsk. Mat. Sb. 9 (1969), 345–362 (in Russian). English abstract.
Khinchin, A.Ya: Mathematical foundations of statistical mechanics, Dover, reprint, 1949 (translated from the Russian).
Khinchin, A.Ya.: Mathematical foundations of quantum statistics, Moscow-Leningrad, 1951 (in Russian).
Bhattacharya, R.N. and Ranga Rao, R.: Normal approximations and asymptotic expansions, Wiley, 1976.
Paulauskas, V. and Račkauskas, A.: Approximation theory in the central limit theorem, Kluwer, 1989 (translated from the Russian).
Aleksandrov, P.S.: An introduction to homological dimension theory and general combinatorial topology, Moscow, 1975 (in Russian).
Sitnikov, K.: ‘On homological girdling of compacta in Euclidean space’, Dokl. Akad. Nauk SSSR 81 (1951), 153–156
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Krull, W.: ‘Dimensionstheorie in Stellenringen’, J. Reine Angew. Math. 179 (1939), 204–226.
Chevalley, C.: ‘On the theory of local rings’, Ann. of Math. (2) 44 (1943), 690–708.
Cohen, I.S.: ‘On the structure and ideal theory of complete local rings’, Trans. Amer. Math. Soc. 59 (1946), 54–106.
Samuel, P.: Algèbre locale, Gauthier-Villars, 1953.
Nagata, M.: Local rings, Interscience, 1962.
Zariski, O. and Samuel, P.: Commutative algebra, 2, Springer, 1975.
Serre, J.-P.: Algèbre locale. Multiplicités, Springer, 1965.
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Atiyah, M.F. and Macdonald, LG.: Introduction to commutative algebra, Addison-Wesley, 1969.
Anick, D.: ‘Construction d’espaces de lacets et d’anneaux locaux à séries de Poincaré-Betti non rationelles’, C.R. Acad. Soc. Paris 290 (1980), 1729–1732. English abstract.
Hartman, P.: Ordinary differential equations, Birkhauser, 1982.
Anosov, D.V.: ‘On a class of invariant sets in smooth dynamical systems’, in Proa Fifth Internat. Conf. Non-Linear Oscillations, Vol. 2, Kiev, 1970, pp. 39-45 (in Russian).
Robinson, C.: ‘Structural stability of vector fields’, Ann. of Math. (2) 99 (1974), 154–175.
Robinson, C.: ‘Correction to’ structural stability of vector fields’’, Ann. of Math. (2) 101 (1975), 368.
Jenkins, J.A.: Univalent functions and conformai mapping, Springer, 1958.
Strubel, K.: Quadratic differentials, Springer, 1984 (translated from the German).
Gardiner, F.P.: Teichmüller theory and quadratic differen-tials, Wiley, 1987.
Pontryagin, L.S.: Topological groups, Princeton Univ. Press, 1958 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965.
Lie, S. and Engel, F.: Theorie der Transformationsgruppen, 1-3, Teubner, 1930.
Zariski, O.: ‘Local uniformization on algebraic varieties’, Ann. of Math. (2) 41 (1940), 852–896.
Abhankayar, S.: Resolution of singularities of embedded algebraic surfaces, Acad. Press, 1966.
Hodge, W.V.D. and Pedoe, D.: Methods of algebraic geometry, 3, Cambridge Univ. Press, 1954.
Zariski, O. and Samuel, P.: Commutative algebra, 2, Springer, 1975.
Hironaka, H.: ‘Resolution of singularities of an algebraic variety over a field of characteristic zero’, Ann. of Math. 79 (1964), 109–326.
Abhyankar, S.S.: Resolution of singularities of arithmetic surfaces, Harper & Row, 1965.
Markushevich, A.I.: Theory of functions of a complex variable, 2, Chelsea, 1977 (translated from the Russian).
Springer, G.: Introduction to Riemann surfaces, Addison-Wesley, 1957.
Shabat, B.V.: Introduction to complex analysis, 1-2, Moscow, 1976 (in Russian).
Farkas, H.M. and Kra, I.: Riemann surfaces, Springer, 1980.
Moiseev, N.N.: Computational methods in the theory of optimal systems, Moscow, 1971 (in Russian).
Krylov, I.A. and Chernous’ko, F.L.: ‘Solution of problems of optimal control by the method of local variations’, USSR Comp. Math. Math. Phys. 6, no. 2 (1966), 12–31. (Zh. Vychisl Mat. i Mat. Fiz. 6 (1966), 203-217)
Banichuk, N.V., Petrov, V.M. and Chernous’ko, F.L.: ‘The method of local variations for variational problems involving non-additive functionals’, USSR Comp. Math. Math. Phys. 9, no. 3 (1969), 66–76. (Zh. Vychisl Mat. i Mat. Fiz. 9 (1969), 548-557)
Isbell, J.R.: ‘Atomless parts of spaces’, Math. Scand 31 (1972), 5–32.
Joyal, A. and Tierney, M.: ‘An extension of the Galois theory of Grothendieck’, Mem. Amer. Math. Soc. 309 (1984).
Isbell, J.R.: ‘Product spaces in locales’, Proc. Amer. Math. Soc. 81 (1981), 116–118.
Banaschewski, B.: ‘The duality of distributive continuous lattices’, Canad. J. Math. 32 (1980), 385–394.
Madden, J. and Vermeer, J.: ‘Lindelöf locales and realcom-pactness’, Math. Proc. Cambridge Philos. Soc. 99 (1986), 473–480.
Isbell, J.R., KŘíž, I., Pultr, A. and Rosický, J.: ‘Remarks on localic groups’, in F. Borceux (ed.): Categorical Algebra and its Applications, Lecture notes in math., Vol. 1348, Springer, 1988, pp. 154-172.
Johnstone, P.T.: ‘A simple proof that localic subgroups are closed’, Cahiers Top. et Géom. Diff. Catégoriques 29 (1988), 157–161.
Pultr, A.: ‘Pointless uniformities’, Comment. Math. Univ. Carolinae 25 (1984), 91–120.
Fourman, M.P. and Grayson, R.J.: ‘Formal spaces’, in A.S. Troelstra and D. van Dalen (eds.): The L.E.J. Brouwer Centenary Symposium, Studies in Logic, Vol. 110, North-Holland, 1982, pp. 107-122.
Johnstone, P.T.: ‘Open locales and exponentiation’, in J.W. Gray (ed.): Mathematical Applications of Category Theory, Contemporary Math., Vol. 30, Amer. Math. Soc., 1984, pp. 84-116.
Johnstone, P.T.: Stone spaces, Cambridge Univ. Press, 1982
Dunford, N. and Schwartz, J.T.: Linear operators. Spectral theory, 2, Interscience,1963.
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Bucur, I. and Deleanu, A.: Introduction to the theory of categories and functors, Wiley, 1968.
Gabriel, P.: ‘Des catégories abéliennes’, Bull. Soc. Math. France 90 (1962), 323–448.
Shul’geĭfer, E.G.: ‘Localizations and strongly hereditary strict radicals in categories’, Trans. Moscow Math. Soc. 19 (1969), 299–331. (Trudy Moskov. Mat. Obshch. 19 (1968), 271-301)
Serre, J.P.: ‘Groupes d’homotopie et classes de groupes abéliens’, Ann. of Math. 58 (1953), 258–294.
Popescu, N.: Abelian categories with applications to rings and modules, Acad. Press, 1973.
Gabriel, P. and Zisman, M.: Categories of fractions and homotopy theory, Springer, 1967.
Golan, J.S.: Localization of noncommutative rings, M. Dekker, 1975.
Golan, J.S.: Torsion theories, Longman, 1986.
Artin, M., Grothendieck, A. and Verdier, J.L.: Théorie des topos (SGA 4, vol. I), Lecture notes in math., 269, Springer, 1972.
Johnstone, P.T.: Topos theory, Acad. Press, 1977.
Adelman, M. and Johnstone, P.T.: ‘Serre classes for toposes’, Bull. Austral. Math. Soc. 25 (1982), 103–115.
Borceux, F. and Van den Bossche, G.: Algebra in a localic topos with applications to ring theory, Lecture notes in math., 1038, Springer, 1983.
Borceux, F. and Veit, B.: ‘On the left exactness of orthogonal reflections’, J. Pure Appl. Alg. 49 (1987), 33–42.
Borceux, F. and Kelly, G.M.: ‘On locales of localizations’, J. Pure Appl. Alg. 46 (1987), 1–34.
Bary, N.K. [N.K. Bari]: A treatise on trigonometric series, Per-gamon, 1964 (translated from the Russian).
Zygmund, A.: Trigonometric series, 1, Cambridge Univ. Press, 1988
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Weil, A.: Basic number theory, Springer, 1974.
Waerden, B.L. van der: Algebra, 1-2, Springer, 1967–1971 (translated from the German).
Cassels, J.W.S. and Fröuch, A. (eds.): Algebraic number theory, Acad. Press, 1986.
Pontryagin, L.S.: Topological groups, Princeton Univ. Press, 1958 (translated from the Russian).
Kelley, J.L.: General topology, v. Nostrand, 1955, pp. 146-147.
Kelley, G.L.: General topology, v. Nostrand, 1955, p. 61.
Čech, E.: Topological spaces, Interscience, 1966, § 21B.
Kantorovich, L.V. and Akilov, G.P.: Functional analysis, Pergamon, 1982 (translated from the Russian).
Day, M.M.: Normed linear spaces, Springer, 1958.
Schaefer, H.H.: Topological vector spaces, Macmillan, 1966.
Luxemburg, W.A.J. and Zaanen, A.C.: Riesz spaces, I, North-Holland, 1971.
Zaanen, A.C.: Riesz space, II, North-Holland, 1983.
Schaefer, H.H.: Banach lattices and positive operators, Springer, 1974.
Kolmogorov, A.N.: ‘Zur Normierbarkeit eines allgemeinen topologischen linearen Raumes’, Studia Math, 5 (1935), 29–33.
Bourbaki, N.: Elements of mathematics. Topological vector spaces, Addison-Wesley, 1977 (translated from the French).
Bourbaki, N.: Elements of mathematics. Integration, Addison-Wesley, 1975, Chapt.6; 7; 8 (translated from the French).
Schaefer, H.H.: Topological vector spaces, Macmillan, 1966.
Day, M.M.: Normed linear spaces, Springer, 1973.
Dunford, N. and Schwartz, J.T.: Linear operators. General theory, 1, Interscience, 1958.
Pietsch, A.: Nuclear locally convex spaces, Springer, 1972 (translated from the German).
Robertson, A.P. and Robertson, W.J.: Topological vector spaces, Cambridge Univ. Press, 1973.
Phelps, R.R.: Lectures on Choquet’s theorem, v. Nostrand, 1966.
Enflo, P.: ‘A counterexample to the approximation problem in Banach spaces’, Acta. Math. 130 (1973), 309–317.
Frölicher, A. and Bucher, W.: Calculus in vector spaces without norm, Lecture notes in math., 30, Springer, 1966.
Palmodov, V.P.: ‘Homological methods in the theory of locally convex spaces’, Russian Math. Surveys 26, no. 1 (1971), 1–64. (Uspekhi Mat. Nauk 26, no. 1 (1971), 3-65)
DeWilde, M.: Closed graph theorems and webbed spaces, Pitman, 1978.
Dineen, S.: Complex analysis in locally convex spaces, North-Holland, 1981.
Floret, K.: Weakly compact sets, Lecture notes in math., 801, Springer.
Grothendieck, A.: Produits tensoriels topologiques et espaces nucléaires, Amer. Math. Soc., 1955.
Grothendieck, A.: Topological vector spaces, Gordon & Breach, 1973 (translated from the French).
Horváth, J.: Topological vector spaces and distributions, I, Addison-Wesley, 1966.
Jarchow, H.: Locally convex spaces, Teubner, 1981 (translated from the German).
Köthe, G.: Topological vector spaces, 1-2, Springer, 1969–1979.
Perez Carreras, P. and Bonet, J.: Barrelled locally convex spaces, North-Holland, 1987.
Schmets, J.: Espaces de fonctions continues, Lecture notes in math., 519, Springer, 1976.
Choquet, G.: Lectures on analysis, 1-3, Benjamin, 1969.
Bourbaki, N.: Elements of mathematics. Topological vector spaces, Addison-Wesley, 1977 (translated from the French).
Schaefer, H.H.: Topological vector spaces, Macmillan, 1966.
Kantorovich, L.V. and Akilov, G.P.: Functional analysis, Pergamon, 1982 (translated from the Russian).
Köthe, G.: Topological vector spaces, I, Springer, 1969.
Jarchow, H.: Locally convex spaces, Teubner, 1981.
Jacobson, N.: Structure of rings, Amer. Math. Soc., 1956.
Herstein, I.: Noncommutative rings, Math. Assoc. Amer., 1968.
Shrshov, A.I.: ‘On certain non-associative nil rings and algebraic algebras’, Mat. Sb. 41 (1957), 381–394 (in Russian).
McCrimmon, K.: ‘The radical of a Jordan algebra’, Proc. Nat. Acad. Sci. USA 62 (1969), 671–678.
Lyu, S.S.: ‘On the splitting of locally finite algebras’, Mat. Sb. 39 (1956), 385–396 (in Russian).
Golod, ES.: ‘On nil algebras and residually finite p-groups’, Izv. Akad. Nauk SSSR Ser. Mat. 28 (1964), 273–276 (in Russian).
Engelking, R.: General topology, PWN, 1977.
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian).
Alexandroff, P. [P.S. Aleksandrov]: ‘Sur les ensembles de la première classe et les espaces abstraits’, C.R. Acad. Sci. Paris 178 (1924), 185–187.
Stone, A.H.: ‘Paracompactness and product spaces’, Bull Amer. Math. Soc. 54 (1948), 977–982.
Michael, E.A.: ‘A note on paracompact spaces’, Froc. Amer. Math. Soc. 4 (1953), 831–838.
Burke, D.K.: ‘Covering properties’, in K. Kunen and J.E. Vaughan (eds.): Handbook of Set-Theoretic Topology, North-Holland. 1984, Chapt. 9; pp. 347-422.
Kurosh, A.G.: The theory of groups, 1-2, Chelsea, 1955–1956 (translated from the Russian).
Chernkov, S.N.: ‘Finiteness conditions in general group theory’, Uspekhi Mat. Nauk 14, no. 5 (1959), 45–96 (in Russian).
Shunkov, V.P.: ‘On locally finite groups with a minimality condition for Abelian subgroups’, Algebra and Logic 9, no. 5 (1970), 350–370. (Algebra i Logika 9, no. 5 (1970), 579-615)
Shunkov, V.P.: ‘On locally finite groups of finite rank’, Algebra and Logic 10, no. 2 (1971), 127–142. (Algebra i Logika 10, no. 2 (1971), 199-225)
Shevrin, L.N.: ‘On locally finite semigroups’, Soviet Math. Dokl. 6 (1965), 769–772. (Dokl. Akad. Nauk SSSR 162 (1965), 770-773)
Shneperman, L.B.: ‘Periodic inverse linear semigroups’, Vesci Akad. Nauk BSSR Ser. Fiz. Mat. Nauk. 4 (1976), 22–28 (in Russian).
Brown, T.C.: ‘On locally finite semigroups’, Ukr. Math. J. 20 (1968), 631–636. (Ukr. Mat. Zh. 20, no. 6 (1968), 732-738)
Brown, T.C.: ‘A semigroup union of disjoint locally finite subsemigroups which is not locally finite’, Pacific J. Math. 22, no. 1 (1967), 11–14.
Brown, T.C.: ‘An interesting combinatorial method in the theory of locally finite semigroups’, Pacific J. Math. 36, no. 2 (1971), 285–289.
Green, J.A. and Rees, D.: ‘On semi-groups in which x r=x‘, Proc. Cambridge Philos. Soc. 48, no. 1 (1952), 35–40.
McLean, D.: ‘Idempotent semigroups’, Amer. Math. Monthly 61, no. 2 (1954), 110–113.
McNaughton, R. and Zalcstein, Y.: The Burnside problem for semigroups’, J. of Algebra 34, no. 2 (1975), 292–299.
Cantrell, J.C. and Edwards, C.H., jr. (eds.): Topology of manifolds, Markham, 1970.
Kurosh, A.G.: The theory of groups, 1-2, Chelsea, 1955–1956 (translated from the Russian).
Godembnt, R.: Topologe algébrique et théorie des faisceaux, Hennann, 1958.
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Tolstov, G.P.: ‘On the curvilinear and iterated integral’, Trudy Mat. Inst. Steklov. 35 (1950), 1–101 (in Russian).
Jacobson, N.: Structure of rings, Amer. Math. Soc., 1956.
Herstbin, I.: Noncommutative rings, Math. Assoc. Amer., 1968.
Kostrkin, A.I.: ‘Lie rings satisfying the Engel condition’, Izv. Akad. Nauk SSSR Ser. Mat. 21 (1957), 515–540 (in Russian).
Kurosh, A.G.: The theory of groups, 1-2, Chelsea, 1955–1956 (translated from the Russian).
Kargapolov, M.I. and Merzlyakov, Yu.L: Fundamentals of the theory of groups, Springer, 1979 (translated from the Russian).
Mill, J. van: Infinite-dimensional topology, North-Holland, 1988.
Jacobson, N.: Lie algebras, Interscience, 1962 (also: Dover, reprint, 1979).
Kurosh, A.G.: The theory of groups, 1-2, Chelsea, 1955–1956 (translated from the Russian).
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966.
Steenrod, N.E.: The topology of fibre bundles, Princeton Univ. Press, 1951.
Hu, S.-T.: Homotopy theory, Acad. Press, 1959.
Husemoller, D.: Fibre bundles, McGraw-Hill, 1966.
Markushevich, A.I.: Theory of functions of a complex variable, 2, Chelsea, 1977, Chapt. 8 (translated from the Russian).
Ahlfors, L.V.: Complex analysis, McGraw-Hill, 1979, Chapt. 8.
Nikol’skiĭ, S.M.: A course of mathematical analysis, 1, Mir, 1977 (translated from the Russian).
Markushevich, A.I.: Theory of functions of a complex variable, 1, Chelsea, 1977 (translated from the Russian).
Conway, J.B.: Functions of one complex variable, Springer, 1973.
Marsden, EL: Basic complex analysis, Freeman, 1973. [A3] Titchmarsh, E.C.: The theory of functions, Oxford Univ. Press, 1979.
Saks, S. and Zygmund, A.: Analytic functions, PWN, 1952 (translated from the Polish).
Stromberg, K.: An introduction to classical real analysis, Wadsworth, 1981.
Kolmogorov, A.N.: ‘Ueber das logarithmische normale Verteilungsgesetz der Dimensionen der Teilchen bei Zerstückelung’, Dokl. Akad. Nauk SSSR 31, no. 2 (1941), 99–101.
Cramér, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Arrchison, J. and Brown, JA.C: The lognormal distribution, Cambridge Univ. Press, 1957.
Johnson, N.L. and Kotz, S.: Distributions in statistics: continuous univariate distributions, 1, Wiley, 1970.
Thorin, O.: ‘On the infinite divisibility of the lognormal distribution’, Skand. Aktuartidskr., no. 3 (1977), 121–148.
Sobolev, S.L.: Partial differential equations of mathematical physics, Pergamon, 1964 (translated from the Russian).
Webster, A.G.: Partial differential equations of mathematical physics, Hafner, 1955.
Muskhelishvili, N.I.: Singular integral equations, Wolters-Noordhoff, 1972 (translated from the Russian).
Vallée-Poussin, Ch.J. de la: Le potentiel logarithmique, balayage et répresentation conforme, Libraire Univ., 1949.
Evans, G.C.: The logarithmic potential, discontinuous Dirichlet and Neumann problems, New York, 1927.
Hayman, W.K. and Kennedy, P.B.: Subharmonic functions, 1, Acad. Press, 1976.
Kral, J.: Integral operators in potential theory, Lecture notes in math., 823, Springer, 1980.
Markushevich, A.I.: Theory of functions of a complex variable, 1, Chelsea, 1977 (translated from the Russian).
Shabat, B.V.: Introduction to complex analysis, 1-2, Moscow, 1976 (in Russian).
Burckel, R.B.: An introduction to classical complex analysis, 1, Acad. Press, 1979.
Aĭzenberg, L.A. and Yuzhakov, A.P.: Integral representations and residues in multidimensional complex analysis, Amer. Math. Soc., 1983 (translated from the Russian).
Ahlfors, L.V.: Complex analysis, McGraw-Hill, 1979.
Milnor, J.: Topology from the differentiable viewpoint, Univ. Press Virginia, 1969.
Savelov, A.A.: Plane curves, Moscow, 1960 (in Russian).
Berger, M.: Geometry, 1-2, Springer, 1987 (translated from the French).
Coxetbr, H.S.M.: Introduction to geometry, Wiley, 1963.
Fladt, K.: Analytische Geometrie spezieller ebener Kurven, Akad. Verlagsgesellschaft, 1962.
Riesz, F.: ‘Sur la sommation des séries de Dirichlet’, C.R. Acad. Sci. Paris 149 (1909), 18–21.
Hardy, G.H.: Divergent series, Clarendon Press, 1949.
Privalov, I.I.: Subharmonic functions, Moscow-Leningrad, 1937, Chapt. 3 (in Russian).
Ronkin, L.I.: Introduction to the theory of entire functions of several variables, Amer. Math. Soc., 1974, p. 36 (translated from the Russian).
Hayman, W.K. and Kennedy, P.B.: Subharmonic functions, 1, Acad. Press, 1976.
Mendelson, E.: Introduction to mathematical logic, v. Nostrand, 1964.
Shoenfield, J.R.: Mathematical logic, Addison-Wesley, 1967.
Hilbert, D. and Bernays, P.: Grundlagen der Mathematik, 1, Springer, 1968.
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951.
Novikov, P.S.: Elements of mathematical logic, Oliver & Boyd and Acad. Press, 1964 (translated from the Russian).
Church, A.: Introduction to mathematical logic, 1, Princeton Univ. Press, 1956.
Mathematical theory of logical derivation, Moscow, 1967 (in Russian). Collection of translations.
Kleene, S.C.: Mathematical logic, Wiley, 1967.
Kreisel, G. and Krivine, J.L.: Elements of mathematical logic, North-Holland, 1967 (translated from the French).
Wójcicki, R.: Theory of logical calculi, Kluwer, 1988.
Rasiowa, H. and Sikorski, R.: The mathematics of metamathematics, PWN, 1963.
Gödel, K.: ‘Die Vollständigkeit der Axiome des logischen Funktionenkalküls’, Monatsh. Math. Phys. 37 (1930), 349–360.
Johnstone, P.T.: Notes on logic and set theory, Cambridge Univ. Press, 1987.
Grzegorczyk, A.: An outline of mathematical logic, Reidel, 1974.
Grzegorczyk, A.: An outline of mathematical logic, Reidel, 1974.
Grzegorczyk, A.: An outline of mathematical logic, Reidel, 1974.
Wójcicki, R.: Theory of logical calculi, Kluwer, 1988.
Frege, G.: Grundgesetze der Arithmetik, begriffsschriftlich abgeleitet, 1-2, Olms, reprint, 1962.
Whitehead, A.N. and Russel, B.: Principia Mathematica, 1-2, Cambridge Univ. Press, 1910–1913.
Gödel, K.: ‘Ueber formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme’, Monatsh Math. Phys. 38 (1931), 173–198.
Curry, H.B.: Foundations of mathematical logic, McGraw-Hill, 1963.
Fraenkel, A.A. and Bar-Hillel, Y.: Foundations of set theory, North-Holland, 1958.
Hilbert, D. and Bernays, P.: Grundlagen der Mathematik, 1, Springer, 1968.
Novkov, P.S.: Elements of mathematical logic, Oliver & Boyd and Acad. Press, 1964 (translated from the Russian).
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951.
Church, A.: Introduction to mathematical logic, 1, Princeton Univ. Press, 1956.
Lyndon, R.C.: Notes on logic, v. Nostrand, 1966.
Kleene, S.C.: Mathematical logic, Wiley, 1967.
Chang, C.C. and Keisler, HJ.: Model theory, North-Holland, 1973.
Kendall, M.G. and Stuart, A.: The advanced theory of statistics, 2. Inference and relationship, Griffin, 1979.
Cox, D.R. and Hinkley, D.V.: Theoretical statistics, Chapman & Hall, 1974.
Johnson, N.L. and Kotz, S.: Distributions in statistics, 1. Continuous univariate distributions, Wiley, 1970.
Lommel, E.: ‘Zur Theorie der Bessel’schen Funktionen IV’, Math, Ann. 16 (1880), 183–208.
Watson, G.N.: A treatise on the theory of Bessel functions, 1, Cambridge Univ. Press, 1952.
Kamke, E.: Differentialgleichungen. Lösungsmethoden und Lösungen, 1. Gewöhnliche Differentialgleichungen, Chelsea, reprint, 1947.
Magnus, W., Oberhettinger, F. and Soni, R.P.: Formulas and theorems for the special functions of mathematical physics, Springer, 1966.
Longman, I.M.: ‘A method for the numerical evaluation of finite integrals of oscillatory functions’, Math. Compta. 14, no. 69 (1960), 53–59.
Davis, P.J. and Rabinowitz, P.: Methods of numerical integration, Acad. Press, 1984.
Mal’tsev, A.I.: ‘Analytic loops’, Mat. Sb. 36, no. 3 (1955), 569–578 (in Russian).
Kuz’min, E.N.: ‘On the relation between Mal’tsev algebras and analytic Moufang loops’, Algebra and Logic 10, no. 1 (1971), 1–14. (Algebra i Logika 10, no. 1 (1971), 3-22)
Kerdman, F.S.: ‘On global analytic Moufang loops’, Soviet Math. Dokl. 20 (1979), 1297–1300. (Dokl. Akad. Nauk SSSR 249, no. 3 (1979), 533-536)
Chein, O., Pflugfelder, H. and Smith, J.D.H. (eds.): Theory and application of quasigroups and loops, Helder-mann, 1989.
Adams, J.F.: Infinite loop spaces, Princeton Univ. Press, 1978.
Lorentz, H.A.: The theory of electrons and its applications to the phenomena of light and radiant heat, Teubner, 1909.
Landau, L.D. and Lifschitz, E.M.: The classical theory of fields, Pergamon, 1975 (translated from the Russian).
Levich, B.G.: Theoretical physics, 1. North-Holland, 1970.
Hylleraas, E.A.: Mathematical and theoretical physics, 2, Wiley, 1970.
Clemmow, P.C. and Dougherty, J.P.: Electrodynamics of particles and plasmas, Addison-Wesley, 1969.
Landau, L.D. and Lifschits, E.M.: The classical theory of fields, Pergamon, 1975 (translated from the Russian).
Naĭmark, M.A.: Les répresentations linéaires du groupe de Lorentz, Dunod, 1962 (translated from the Russian).
Encyclopeadic dictionary of physics, 3, Moscow, 1963 (in Russian).
Wigner, E.P.: ‘Unitary representations of the inhomogene-ous Lorentz group including reflections’, in Istambul Summer School of Theoretical Physics, 1962, Gordon & Breach, 1964, pp. 37-80.
Wightman, A.S.: ‘L’invariance dans la mécanique quantique relativiste’, in Ecole d’Eté de Physique Théorique: LesHouches, 1960, Hermann & Wiley, 1960, pp. 159-226.
Ruhl, W.: The Lorentz group and harmonic analysis, Benjamin, 1970.
Saxl, R.U. and Urbantke, H.K.: Relativität, Gruppen, Teilchen, Springer, 1976.
Lorenz, E.N.: ‘Deterministic non-periodic flow’, J. Atmos. Sci. 20, no. 2 (1963), 130–141.
Monin, A.S.: ‘On the nature of turbulence’, Soviet Phys. Uspekhi 21 (1978), 429–442. (Uspekhi Fiz. Nauk 125, no. 1 (1978), 97-122)
Rabinovich, M.I.: ‘Stochastic self-oscillations and turbulence’, Soviet Phys. Uspekhi 21 (1978), 443–469. (Uspekhi Fiz. Nauk 125, no. 1 (1978), 123-168)
McLughlin, J.B. and Martin, P.C.: ‘Transition to turbulence of a statically stressed fluid system’, Phys. Rev. Letters 33 (1974), 1189–1192.
McLughlin, J.B. and Martin, P.C.: ‘Transition to turbulence of a statically stressed fluid system’, Phys. Rev. Ser. A 12 (1975), 186–203.
Ruelle, D.: The Lorentz attractor and the problem of turbulence’, in R. Temam (ed.): Turbulence and Navier—Stokes equations, Lecture notes in math., Vol. 565, Springer, 1976, pp. 146-158.
Marsden, J.E., MacCracken, M. and Oster, G.F.: The Hopf bifurcation and its applications, Springer, 1976. (The Russian translation, Mir (1980), contains an appendix on the Lorenz attractor.)
Sinai, Ya.G.:’ stochasticity of dynamical systems’, in Nonlinear waves, Moscow, 1979, pp. 192-212 (in Russian).
Bunimovich, Z.A. and Sinaĭ, Ya.G.: ‘Stochasticity of the attractor in the Lorenz model’, in Non-linear waves, Moscow, 1979, pp. 212-226 (in Russian).
Williams, R.F.: The structure of Lorenz attractors’, in R. Temam (ed.): Turbulence and Navier—Stokes equations, Lecture notes in math., Vol. 565, Springer, 1976, pp. 146-158.
Williams, R.F.: ‘The structure of Lorenz attractors’, Publ. Math. IHES 50 (1979), 73–100.
Afraĭmovich, V.S., Bykov, V.V. and Shil’nikov, L.P.: ‘On the origin and structure of the Lorenz attractor’, Dokl. Akad. Nauk SSSR 234, no. 2 (1977), 336–339 (in Russian).
Morioka, N. and Shimizu, T.: Transition between turbulent and periodic states in the Lorenz model’, Phys. Letters 66A, no. 6 (1978), 447–449.
Rand, D.: The topological classification of Lorenz attractors’, Math. Proc. Cambridge Phil Soc. 83, no. 3 (1978), 451–460.
Afraimovich, V.S., Bykov, V.V. and Shil’nikov, Z.P.: ‘On structurally unstable attracting limit sets of Lorenz-attractor type’, Trans. Moscow Math. Soc 44 (1982), 153–216. (Trudy Moscov. Mat. Obshch. 44 (1982), 150-122)
Guckenheimer, J. and Williams, R.F.: ‘Structural stability of Lorenz attractors’, PubL Math. IHES 50 (1979), 59–72.
Pesin, Ya.: ‘Ergodic properties and dimensionlike characteristics of strange attractors that are close to hyperbolic’, in Proc. Internat. Congress Mathematics, Berkely 1986, Amer. Math. Soc., 1987, pp. 1195-1209.
Wald, A.: Statistical decision Junctions, Wiley, 1950.
Lehmann, E.L.: Testing statistical hypotheses, Wiley, 1986.
Berger, J.: Statistical decision theory and Bayesian analysis, Springer, 1985.
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises; Reidel, 1984 (translated from the Russian).
Kuratowski, C.: Topology, 1, PWN & Acad. Press, 1966 (translated from the French).
Löwner, K.: ‘Untersuchungen über schlichte konforme Abbildungen des Einheitskreises, I’, Math. Ann. 89 (1923), 103–121.
Kufarev, P.P.: ‘A theorem on solutions of a differential equation’, Uchen. Zap. Tomsk. Gos. Univ. 5 (1947), 20–21 (in Russian).
Pommerenke, C.: ‘Ueber die Subordination analytischer Funktionen’, J. Reine Angew. Math. 218 (1965), 159–173.
Gutlyanskiĭ, V.Ya.: ‘Parametric representation of univalent functions’, Soviet Math. Dokl. 11 (1970), 1273–1276. (Dokl. Akad. Nauk SSSR 194, no. 4 (1970), 750-753)
Kufarev, P.P.: ‘On one-parameter families of analytic functions’, Mat. Sb. 13 (1943), 87–118 (in Russian).
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Löwner, K.: ‘Untersuchungen über schlichte konforme Abbildungen des Einheitskreises, I’, Math. Ann. 89 (1923), 103–121.
Peschl, E.: ‘Zur Theorie der schlichten Funktionen’, J. Reine Angew. Math. 176 (1936), 61–94.
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Aleksandrov, I.A.: Parametric extensions in the theory of univalent functions, Moscow, 1976 (in Russian).
de Branges, L.: ‘A proof of the Bieberbach conjecture’, Acta. Math. 164 (1985), 137–152.
FitzGerald, C.H. and Pommerenke, C.: ‘The de Branges theorem on univalent functions’, Trans. Amer. Math. Soc. 290 (1985), 683–690.
Hayman, W.K.: Multivalent functions, Cambridge Univ. Press, 1958.
Pommerenke, C.: Univalent functions, Vandenhoeck & Ruprecht, 1975.
Duren, P.L.: Univalent functions, Springer, 1983.
Brannan, D.A.: ‘The Löwner differential equation’, in D.A. Brannan and J.G. Clunie (eds.): Aspects of Contemporary Complex Analysis, Acad. Press, 1980, pp. 79-95.
Strubecker, K.: Differentialgeometrie, 2. Theorie der Flächenmetrik, de Gruyter, 1958.
Lüroth, J.: Math. Ann. 9 (1876), 163–165.
Waerden, B.L. van der: Algebra, 1-2, Springer, 1967–1971 (translated from the German).
Manin, Yu.N.: Cubic forms. Algebra, geometry, arithmetic, North-Holland, 1974 (translated from the Russian).
Iskovskikh, V.A. and Manin, Yu.I.: ‘Three-dimensional quartics and counterexamples to the Lüroth problem’, Math. USSR Sb. 15, no. 1 (1971), 141–166. (Mat. Sb. 86, no. 1 (1971), 140-166)
Clemens, C.H. and Griffiths, P.: ‘The intermediate Jacobian of the cubic threefold’, Ann. of Math. 95 (1972), 281–356.
Artin, M. and Mumford, D.: ‘Some elementary examples of unirational varieties which are not national’, Proc. London Math. Soc. 25, no. 1 (1972), 75–95.
Zariski, O.: ‘The problem of minimal models in the theory of algebraic surfaces’, Amer. J. Math. 80 (1958), 146–184.
Luxemburg, W.A.J.: Banach function spaces, T.U. Delft, 1955. Thesis.
Krasnosel’skiĭ, M.A. and Rutttskiĭ, Ya.B.: Convex functions and Orlicz spaces, Noordhoff, 1961 (translated from the Russian).
Luzin, N.N.: Mat. Sb. 28 (1912), 266–294.
Luzin, N.N.: Collected works, 1, Moscow, 1953 (in Russian).
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Kamke, E.: Das Lebesgue—Stieltjes Integral, Teubner, 1960.
Lusin, N.N. [N.N. Luzin]: ‘Sur les propriétés des fonctions mesurables’, C.R. Acad. Sci. Paris 154 (1912), 1688–1690.
Natanson, I.P.: Theory of functions of a real variable, 1-2, F. Ungar, 1955–1961 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. Integration, Addison-Wesley, 1975, Chapt. 6; 7; 8 (translated from the French).
Halmos, P.: Measure theory, v. Nostrand, 1950.
Rudin, W.: Real and complex analysis, McGraw-Hill, 1966.
Hbwitt, E. and Stromberg, K.: Real and abstract analysis, Springer, 1965.
Luzin, N.N.: Collected works, Vol. 1, Moscow, 1953, pp. 267-269 (in Russian).
Luzm, N.N.: Collected works, Vol. 1, Moscow, 1953, pp. 280-318 (in Russian).
Priwalow, I.I. [I.I. Privalov]: Randeigenschaften analytischer Funktionen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Lohwater, A.: The boundary behaviour of analytic functions’, Itogi Nauki i Tekhn. Mat. Anal. 10 (1973), 99–259 (in Russian).
Collingwood, E.F. and Lohwater, A.J.: The theory of cluster sets, Cambridge Univ. Press, 1966.
Lusin, N.N. [N.N. Luzin]: ‘Sur les ensembles analytiques nuls’, Fund Math. 25 (1935), 109–131.
Mostowski, A.: Constructible sets ands applications, North-olland, 1969
Kunen, K.: Set theory, North-Holland, 1980.
Luzin, N.N.: The integral and trigonometric series, Moscow-Leningrad, 1915 (in Russian).
Dellacherie, C., Feyel, D. and Mokobodzki, G.: ‘Intégrales de capacités fortement sous-additives’, In Sem. Probat. Strasbourg XVI, Lecture notes in math., Vol. 920, Springer, 1982, pp. 8-28.
Louveau, A.: Minceur et continuité séquentielle des sous-mesures analytiques fortement sous-additives, Sem. Initiation à l’Analyse, 66, Univ. P. et M. Curie, 1983–1984.
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Hewitt, E and Stromberg, K.: Real and abstract analysis, Springer, 1965.
Lusin, N.N. [N.N. Luzm] and Priwaloff, I.I. [I.I. Privalov]: ‘Sur l’unicité et la multiplicité des fonctions analytiques’, Ann. Sci. Ecole Norm. Sup. (3) 42 (1925), 143–191.
Priwalow, LI. [I.I. Privalov]: Randeigenschaften analytischer Funktionen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Lohwater, A.: ‘The boundary behaviour of analytic functions’, Itogi Nauk. i Tekhn. Mat. Anal. 10 (1973), 99–259 (in Russian).
Collingwood, E.F. and Lohwater, A.J.: The theory of cluster sets, Cambridge Univ. Press, 1966.
Luzin, N.N.: The integral and trigonometric series, 1, Moscow-Leningrad, 1953, p. 219 (in Russian).
Carleson, L.: ‘Convergence and growth of partial sums of Fourier series’, Acta Math. 116 (1966), 135–157.
Lusin, N.N. [N.N. Luzin]: ‘Sur le probl ème de M. Emue Bord et la méthode des résolvants’, C.R. Acad Sci. Paris 181 (1925), 279–281.
Luzin, N.N.: Collected works, 2, Moscow, 1958 (in Russian).
Novikov, P.S.: ‘On the non-contradictibility of certain propositions in descriptive set theory’, Trudy Mat. Inst. Steklov. 38 (1951), 279–316 (in Russian).
Solovay, R.: ‘A model of set theory in which every set of reals is Lebesgue measurable’, Ann. of Math. (2) 91, no. 1 (1970), 1–56.
Novak, J.: ‘On some problems of Lusin concerning the subsets of natural numbers’, Czechoslovak. Math. J. 3 (1953), 385–395.
Jech, T.: Set theory, Acad. Press, 1978.
Moschovakis, Y.N.: Descriptive set theory, North-Holland, 1980.
Luzin, N.N.: Leçons sur les ensembles analytiques et leurs applications, Gauthier-Villars, 1930.
Luzin, N.N.: ‘Sur les ensembles analytiques’, Fund. Math. 10 (1927), 1–92.
Kuratowski, C.: Topology, I, PWN & Acad. Press, 1966 (translated from the French).
Jech, T.: Set theory, Acad. Press, 1978.
Moschovakis, Y.N.: Descriptive set theory, North-Holland, 1980.
Lusin, N.N. [N.N. Luzin]: ‘Sur un problème de M. Emile Borel et les ensemble projectifs de M. Henri Lebesgue’, C.R. Acad. Sci. Paris 180 (1925), 1318–1320.
Lusin, N.N. [N.N. Luzin]: Leçons sur les ensembles analytiques et leurs applications, Gauthier-Villars, 1930.
Kuratowski, C.: Topology, 1, PWN & Acad. Press, 1966 (translated from the French).
Moschovakis, Y.N.: Descriptive set theory, North-Holland, 1980.
Jech, T.: Set theory, Acad. Press, 1978.
Luzin, N.N.: ‘Sur les ensembles analytiques’, Fund Math. 10 (1927), 1–95.
Kuratowski, C.: Topology, 1, PWN & Acad. Press, 1966 (translated from the French).
Bourbaki, N.: Elements of mathematics. General topology, Addison-Wesley, 1966, Chapt. 10 (translated from the French).
Lusin, N.N. [N.N. Luzin]: ‘Sur un problème de M. Baire’, C.R. Acad. Sci. Paris 158 (1914), 1258–1261.
Kuratowski, C.: Topology, 1, PWN & Acad. Press, 1966 (translated from the French).
Kunen, K.: ‘Luzin spaces’, Topology Proceedings 1 (1977), 191–199.
Roitman, J.: ‘Basic S and L’, in K. Kunen and J.E. Vaughan (eds.): Handbook of Set-Theoretic Topology, North-Holland, 1984, pp. 295-326.
Weiss, W.: ‘Versions of Martin’s axiom’, in K. Kunen and J.E. Vaughan (eds.): Handbook of Set-Theoretic Topology, North-Holland, 1984, pp. 827-886.
Miller, A.W.:’ special subsets of the real line’, in K. Kunen and J.E. Vaughan (eds.): Handbook of Set-Theoretic Topology, North-Holland, 1984, pp. 201-233.
Luzin, N.N.: ‘On localization of the finite area principle’, Dokl. Akad. Nauk SSSR 56 (1947), 447–450 (in Russian).
Luzin, N.N.: Collected works, 1, Moscow, 1953, pp. 318-330 (in Russian).
Lohwater, A.: The boundary behaviour of analytic functions’, Itogi Nauki i Tekhn. Mat. Anal. 10 (1973), 99–259 (in Russian).
Lohwater, A.J. and Piranian, G.: ‘On a conjecture of Luzin’, Michigan Math. J. 3 (1955), 63–68.
Luzin, N.N.: Collected works, 2, Moscow, 1958 (in Russian).
Kuratowski, C: Topology, PWN & Acad. Press, 1966 (translated from the French).
Douwen, EK. van: ‘The integers and topology’, In K. Kunen and J.E. Vaughan (eds.): Handbook of Set-Theoretic Topology, North-Holland, 1984, pp. 111-167.
Engelking, R.: ‘Hausdorff’s gaps and limits and compactifi-cations’, in Theory of Sets and Topology (in honour of F. Hausdorff). Deutsch. Verlag Wissenschaft., 1972, pp. 89-94.
Lyapunov, A.M.: Stability of motion, Acad. Press, 1966 (translated from the Russian).
Bylov, B.F., Vinograd, R.E., Grobman, D.M. and Nemytskiĭ, V.V.: The theory of the Lyapunov exponent and its application to questions of stability, Moscow, 1966 (in Russian).
Izobov, N.A.: ‘Linear systems of ordinary differential equations’, J. Soviet Math. 5 (1976), 46–96. (ItogiNauk. i Tekhn. Mat. Anal 12 (1974), 71-146)
Kliemann, W.: ‘Analysis of nonlinear stochastic systems’, in W. Schiehlen and W. Wedig (eds.): Analysis and estimation of stochastic mechanical systems, Springer (Wien), 1988, pp. 43-102.
Constantin, P., Foias, C. and Temam, R.: Attractors representing turbulent flows, Amer. Math. Soc., 1985.
Young, L.S.: ‘Capacity of attractors’, Ergod. Th. Dynam. Systems 1 (1981), 381–383.
Young, L.S.: ‘Dimension, entropy, and Lyapunov exponents’, Ergod. Th. Dynam. Systems 2 (1982), 109–124.
Fredrickson, P., Kaplan, J.L., Yorke, E.D. and Yorke, J.A.: ‘The Lyapunov dimension of strange attractors’, J. Diff. Eq. 49 (1983). 185–207.
Arnold, L. and Wihstutz, V. (eds.): Lyapunov exponents, Lecture notes in math., 1186, Springer, 1986.
Schuster, H.G.: Deterministic chaos, Physik-Verlag, 1988.
Coddington, E.A. and Levinson, N.: Theory of ordinary differential equations, McGraw-Hill, 1955.
Guckenheimer, J. and Holmes, Ph.: Nonlinear oscillations, dynamical systems and bifurcations of vector fields, Springer, 1983.
Lyapunov, A.M.: Stability of motion, Acad. Press, 1966 (translated from the Russian).
Barbashin, E.A.: Lyapunov functions, Moscow, 1970 (in Russian).
Vaĭnberg, M.M. and Trenogin, V.A.: Theory of branching of solutions of non-linear equations, Noordhoff, 1974 (translated from the Russian).
Smirnov, N.S.: Introduction to the theory of non-linear integral equations, Leningrad-Moscow, 1936 (in Russian).
Chow, S. and Hale, J.: Methods of bifurcation theory, Springer, 1982.
Lyapunov, A.M.: Stability of motion, Acad. Press, 1966 (translated from the Russian).
Perron, O.: ‘Ueber Stabilität und asymptotisches Verhalten der Integrale von Differentialgleichungssystemen’, Math. Z. 29 (1928), 129–160.
Bellman, R.: Stability theory of differential equations, Dover, reprint, 1969.
Lasalle, J.P. and Lefschetz, S.: Stability by Lyapunov’s direct method with applications, Acad. Press, 1961.
Hirsch, M.W. and Smale, S.: Differential equations, dynamical systems and linear algebra, Acad. Press, 1974.
Hahn, W.: Stability of motion, Springer, 1967.
Bhatia, N.P. and Szegö, G.P.: Stability theory of dynamical systems, Springer, 1970.
Rabinovich, M.I. and Trubetskov, D.I.: Oscillations and waves, Kluwer, 1989, Chapt. 6-7 (translated from the Russian).
Filippov, A.F.: Differential equations with discontinuous righthand sides, Kluwer, 1989, § 15 (translated from the Russian).
Lyapunov, A.M.: Stability of motion, Acad. Press, 1966 (translated from the Russian).
Kushner, H.J.: Stochastic stability and control, Acad. Press, 1967.
Has’minskiĭ, R.Z. [RJZ. Khas’minskiĭ]: Stochastic stability of differential equations, Sythoff & Noordhoff, 1980 (translated from the Russian).
Kalashnikov, V.V.: Qualitative analysis of the behaviour of complex systems by the method of test functions, Moscow, 1978 (in Russian).
Goodwin, G.C., Ramagadge, P.J. and Caines, P.E.: ‘Discrete time stochastic adaptive control’, SIAM J. Control Optim. 19 (1981), 829–853.
Motivier, M. and Priouret, P.: ‘Applications of a Kushner and Clark lemma to general classes of stochastic algorithms’, IEEE Trans. Inform. Theory 30 (1984), 140–151.
Solo, V.: The convergence of AML’, IEEE Trans. Autom. Control 24 (1979), 958–962.
Schuppen, J.H. van: ‘Convergence results for continuous-time stochastic filtering algorithms’, J. Math. Anal. Appl. 96 (1983), 209–225.
Lyapunov, A.M.: ‘On certain questions connected with the Dirichlet problem’, in Collected works, Vol. 1, Moscow, 1954, pp. 45-47; 48-100 (in Russian).
Sobolev, S.L.: Partial differential equations of mathematical physics, Pergamon, 1964 (translated from the Russian).
Vladimirov, V.S.: Equations of mathematical physics, Mir, 1984, Chapt. 5 (translated from the Russian).
Muskhelishvili, N.I.: Singular integral equations, Wolters-Noordhoff, 1972, Chapt. 1 (translated from the Russian).
Lyapunov, A.M.: Collected works, 1, Moscow, 1954, pp. 157-176 (in Russian).
Bernshteĭn, S.N.: Probability theory, Moscow-Leningrad, 1946 (in Russian).
Feller, W.: An introduction to probability theory and its applications, 2, Wiley, 1966.
Laha, R.G. and Rohatgi, V.K.: Probability theory, Wiley, 1979.
Lyapunov, A.M.: Collected works, Vol. 1, Moscow, 1954, pp. 26-32 (in Russian).
Lyapunov, A.M.: Collected works, Vol. 1, Moscow, 1954, pp. 33-44 (in Russian).
Lyapunov, A.M.: ‘On certain questions connected with the Dirichlet problem’, in Collected works, Vol. 1, Moscow, 1954, pp. 45-47; 48-100 (in Russian).
Lyapunov, A.M.: Collected works, Vol. 1, Moscow, 1954, pp. 101-122 (in Russian).
Gunther, N.M.: Potential theory and its applications to basic problems of mathematical physics, F. Ungar, 1967 (translated from the French).
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Kral, J.: Integral operators in potential theory, Lecture notes in math., 823, Springer, 1980.
Lyapunov, A.M.: Stability of motion, Acad. Press, 1966 (translated from the Russian).
Hahn, W.: Stability of motion, Springer, 1967.
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Barendregt, H.P. et al. (1995). L. In: Hazewinkel, M. (eds) Encyclopaedia of Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3793-3_5
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