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References
Kiefer, J.: ‘Sequential minimax search for a maximum’,Proc. Amer. Math Soc.4 (1953), 502–506.
Wilde, D.J.:Optimum seeking methods, Prentice Hall, 1964.
Vasil’ev, F.P.:Computational methods for solving extremum problems, Moscow, 1980 (in Russian)
Avriel, M.:Nonlinear programming, Prentice Hall, 1977.
Boncompagni, B.:Illiber Abbaci di Leonardo Pisano, Rome, 1857.
Vorob’ev, N.N.:Fibonacci numbers, Moscow, 1984 (in Russian).
Hoggatt, V.E.:Fibonacci and Lucas numbers, Univ. Santa Clara, 1969.
Alfred, U. (or A. Brousseau):An introduction to Fibonacci discovery, San Jose, CA, 1965.
Fibonacci Quart. (1963-).
Phillipou, A.N., Bergum, G.E. and Horodam, A.F. (Eds.):Fibonacci numbers and their applications, Reidel, 1986.
Mitchell, B.:Theory of categories, Acad. Press, 1965.
Adamek, J.:Theory of mathematical structures, Reidel, 1983.
Dold, A.: ‘Partitions of unity in the theory of fixations’,Ann. of Math.78 (1963), 223–255.
Husemoller, D.:Fibre bundles, McGraw-Hill, 1966.
Serre, J.-P.: ‘Homologie singuliere des espaces fibres’,Ann. of Math.54 (1951), 425–505.
Spanier, E.H.:Algebraic topology, McGraw-Hill, 1966, Chapt. 2.
Steenrod, N.E.:The topology of fibre bundles, Princeton Univ. Press, 1951.
Fisher, R.A.: ‘Inverse probability’,Proc. Cambridge Philos. Soc.26 (1930), 528–535.
Fraser, D.A.S.: ‘The fiducial method and invariance’,Biometrika 48 (1961), 261–280.
Klimov, G.P.: ‘On the fiducial approach in statistics’,Soviet Math. Dokl.11, no$12 (1970), 442–444. (Dokl. Akad Nauk SSSR 191, no. 4 (1970), 763–765 )
Klimov, G.P.:Invariant inferences in statistics, Moscow, 1973 (in Russian)
Pedersen, J.G.: ‘Fiducial inference’,Internal Stat Rev.46 (1978), 147–170.
Bourbaki, N.:Elements de mathematique. Algebre, Masson, 1981, Chapt. 4–7.
Waerden, B.L. van der:Algebra, 1–2, Springer, 1967–1971 (translated from the German).
Lang, S.:Algebra, Addison-Wesley, 1974.
Zariski, O. and Samuel, P.:Commutative algebra, 1, Springer, 1975.
Jacobson, N.:Lectures in abstract algebra, 1. Basic concepts, Springer, 1975.
Lejeune-Dirichlet, P.G.:Zahlentheorie, Chelsea, reprint, 1968.
Jost, R.:The general theory of quantized fields, Amer. Math. Soc., 1965.
Simon, B.:The P(φ) 2 -Euclidean (quantum) field theory, Princeton Univ. Press, 1974.
Bogolyubov, N.N. and Shirkov, D.V.:Introduction to the theory of quantized fields, Interstience, 1959 (translated from the Russian).
Euclidean field theory. Markov’s approach, Moscow, 1978 (in Russian; translated from the English).
Bongaarts, P.J.M.: ‘The mathematical structure of free quantum fields. Gaussian fields’, in E.A. de Kerf and H.G.J. Pijls (eds.):Mathematical structures in field theory. Proc. Sem. 1984–1986, CWI Amsterdam, 1987, pp. 1–50.
The thirteen books of Euclid’s elements, 1–3, Cambridge Univ. Press, 1926 (Translated from the Greek).
Kagan, V.F.:The foundations of geometry, 1, Moscow-Leningrad, 1949 (in Russian).
Efimov, N.V.:Hohere Geometrie, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian).
On the foundations of geometry. A collection of classical papers on Lobachevskii geometry, Moscow, 1956 (in Russian).
Rozenfel’d, B.A.:The history of non-Euclidean geometry, Moscow, 1976 (in Russian).
Coxeter, H.S.M.:Non-euclidean geometry, Univ. Toronto Press, 1957.
Bonola, R:Non-euclidean geometry, Dover, reprint, 1955 (translated from the Italian).
Laptev, G.F.: ‘Differential geometry of imbedded manifolds. Group-theoretical method of differential-geometric investigation’,Trudy Moskov. Mat. Obshch.2 (1953), 275–383 (in Russian).
Malakhovskii, V.S.: ‘Differential geometry of manifolds of figures and of figure pairs’,Trudy Geom. Sem. Inst. Nauchn. Inform. Akad. Nauk SSSR 2 (1969), 179–206 (in Russian).
Malakhovskii, V.S.: ‘Differential geometry of lines and surfaces’,J. Soviet Math.2 (1974), 304-–330. (Itogi Nauk. i Tekhn. Algebra. Topol. Geom.10 (1972), 113–1581.
Bourbaki, N.:Elements of mathematics. General topology, Addison-Wesley, 1966 (translated from the French).
Cohn, P.M.:Universal algebra, Reidel, 1981.
Mal’tsev, A.I.:Algebraic systems, Springer, 1973 (translated from the Russian).
Kunen, K.:Set theory, North-Holland, 1980.
Bourbaki, N.:Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Bjork, J-E.:Rings of differential operators, North-Holland, 1979.
Schapira, P.:Microdifferential systems in the complex domain, Springer, 1985.
Adamek, J.:Theory of mathematical structures, Reidel, 1983.
Mitchell, B.:Theory of categories, Acad. Press, 1965.
Godement, R:Topologie algebrique et theorie des faisceaux, Hermann, 1958.
Wells, Jr., R. O.:Differential analysis on complex manifolds, Springer, 1980.
Brelot, M.:Elements de la theorie classique du potentiel, Sorbonne Univ. Centre Doc. Univ., Paris, 1959.
Landkof, N.S.:Foundations of modern potential theory, Springer, 1972 (translated from the Russian).
Brelot, M.:Lectures on potential theory, Tata Inst. Fundam. Res., 1960.
Fuglede, B.:Finely harmonic functions, Springer, 1972.
Lukes, J., Mali, J. and Zajicek, L.:Fine topology methods in real analysis and potential theory, Springer, 1986.
Kolmogorov, A.: ‘Zur Deutung der intuitionistischen Logik’,Math. Z.35 (1932), 58–65.
Medvedev, Yu.T.: ‘Interpretation of logical formulas by means of finite problems’,Soviet Math. Dokl.7, no$14 (1966), 857–860. (Dokl. Akad Nauk SSSR 142, no. 5 (1962), 1015–1018 )
Medvedev, Yu.T.: ‘Finite problems’,Soviet Math. Dokl.3 (1962), 227–230. (Dokl. Akad Nauk SSSR 169, no. 1 (1966), 20–23 )
Markov, A.A.:The calculus of finite differences, Odessa, 1910 (in Russian).
Berezin, I.S. and Zhidkov, N.P.:Computing methods, Pergamon, 1973 (translated from the Russian).
Gelfond, A.O. [A.O. Gel’fond]:Differenzenrechnung, Deutsch. Verlag Wissenschaft., 1958 (translated from the Russian).
Bakhvalov, N.S.:Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian)
Milne-Thomson, L.M.:The calculus of finite differences, MacMillan, 1933.
Samarskit, A.A.:Theorie der Differenzverfahren, Akad. Verlagsgesell. Geest u. Portig K.-D., 1984 (translated from the Russian).
Waerden, B.L. van der:Algebra, 1–2, Springer, 1967–1971 (translated from the German).
Albert, A. A.:Structure of algebras, Amer. Math. Soc., 1939.
Pierce, R.:Associative algebras, Springer, 1980.
Ringel, C.:Tame algebras and integral quadratic forms, Springer, 1984.
Kirillov, A.A.:Elements of the theory of representations, Springer, 1976 (translated from the Russian).
Zhelobenko, D.P.:Compact Lie groups and representations, Amer. Math. Soc., 1973 (translated from the Russian).
Naimark, M.A.:Theory of group representations, Springer, 1982 (translated from the Russian).
Dixmier, J.:C algebras, North-Holland, 1977 (translated from the French).
Weil, A.:l’Integration dans les groupes topologiques et ses applications, Hermann, 1940.
Gel’fand, I.M. and Ponomarev, V.A.: ‘Remarks on the classification of a pair of commuting linear transformations in a finite-dimensional space’,Funct. Anal Appl.3, no$14 (1969), 325–326. (Funktsional Anal i Prilozhen.3, no. 4 (1969), 81–82 )
Glushkov, V.M.: ‘The structure of locally compact groups and Hilbert’s fifth problem’,Transl. Amer. Math. Soc.15 (1960), 55–93. (Uspekhi Mat. Nauk 12, no. 2 (1957), 3–41 )
Shtern, A.I.: ‘Locally bicompact groups with finite-dimensional irreducible representations’,Math. USSR Sb.19, no$11 (1973), 85–94. (Mat. Sb.90, no. 1 (1973), 86–95 )
Humphreys, J.E.:Introduction to Lie algebras and representation theory, Springer, 1972.
Klein, F.:Development of mathematics in the 19th century, Math. Sci. Press, 1979 (translated from the German).
Curtis, C.W. and Reiner, I.:Representation theory of finite groups and associative algebras, Interscience, 1962.
Kargapolov, M.I. and Merzlyakov, Yu.I.:Fundamentals of the theory of groups, Springer, 1979 (translated from the Rus-sian).
Kostrikin, A.I.: ‘Finite groups’,Itogi Nauk. Algebra 1964 (1966), 7–46 (in Russian).
Chunikhin, S.A. and Shemetkov, L.A.: ‘Finite groups’,Itogi Nauk. Algebra. Topol. Geom.1969 (1971), 7–70 (in Russian).
Mazurov, V.D.: ‘Finite groups’,Itogi Nauk. Algebra. Topol. Geom.14 (1976), 5–56 (in Russian).
Speiser, A.:Die Theorie der Gmppen von endlicher Ordnung, Birkhauser, 1956.
Wielandt, H.:Finite permutation groups, Acad. Press, 1968 (translated from the German).
Huppert, B.:Endliche Gruppen, 1, Springer, 1967.
Gorenstein, D.:Finite groups, Harper amp; Row, 1968.
Isaacs, I.M.:Character theory of finite groups, Acad. Press, 1976.
Aschbacher, M.:Finite group theory, Cambridge Univ. Press, 1986.
Gorenstein, D.:Finite simple groups: an introduction to their classification, Plenum, 1982.
Hall, M.:The groups of order 2 n (n≤6), MacMillan, 1964.
Kantor, W.M.: ‘Some consequences of the classification of finite simple groups’,Contempory Math.45 (1985), 159–173.
Blackburn, N. and Huppert, B.:Finite groups, 1–2, Springer, 1981–1982.
Suzuki, M.:Group theory, 1–2, Springer, 1986.
Liebeck, M.W.: ‘The affine permutation groups of rank three’,Proc. London Math. Soc. (3)54 (1987), 477–516.
Feit, W.: ‘Some consequences of the classification of finite simple groups’, inProc. Symp. Pure Math., Vol.37,Amer. Math. Soc., 1980, pp. 175–181.
Curtis, C.W. and Reiner, I.:Representation theory of finite groups and associative algebras, Interscience, 1962.
Kirillov, A. A.:Elements of the theory of representations, Springer, 1976 (translated from the Russian).
Naimark, M.A.:Theory of group representations, Springer, 1982 (translated from the Russian).
Lang, S.:Algebra, Addison-Wesley, 1974.
Serre, J.-P.:Linear representations of finite groups, Springer, 1977 (translated from the French).
Curtis, C.W. and Reiner, I.:Methods of representation theory, 1–2, Wiley (Interscience), 1981–1987.
Feit, W.:The representation theory of finite groups, North-Holland, 1982.
Huppert, B. and Blackburn, N.:Finite groups, 2–3, Springer, 1982.
Benson, D.J.:Modular representation theory: New trends and methods, Springer, 1984.
Manin, Yu.I.: ‘The theory of commutative formal groups over fields of finite characteristic’,Russian Math. Surveys 18 (1963), 1–80. (Uspekhi Mat. Nauk 18, no. 6 (1963), 3–90 )
Tate, J. and Oort, F.: ‘Group schemes of prime order’,Ann. Sci. Ecole Norm. Sup.3 (1970), 1–21.
Demazure, M. and Gabriel, P.:Groupes algebriques, 1, Masson, 1970.
Oort, F.:Commutative group schemes, Springer, 1966.
Shatz, S.: ‘Cohomology of Artinian group schemes over local fields’,Ann. of Math.79 (1964), 411–449.
Mazur, B.: ‘Notes on etale cohomology of number fields’,Ann. Sci. Ecole Norm Sup.6 (1973), 521–556.
Kraft, H.:Kommutative algebraische Gruppen und Ringe, Springer, 1975.
Raynaud, M.: ‘Schemas en groupes de type (p,…,p)’,Bull. Soc. Math. France 102 (1974), 241–280.
Fontaine, J.-M.: ‘II n’y a pas de variety abelienne sur Z’,Invent. Math.81 (1985), 515–538.
Faltings, G.: ‘Endlichkeitssatze fur abelsche Varietaten uber Zahlkorpern’,Invent. Math.73 (1983), 349–366. Erratum: Invent. Math75 (1984), 381.
Cornell, G.:Arithmetic geometry, Springer, 1986.
Schiffer, M. and Spencer, D.C.:Functionals of finite Riemann surfaces, Princeton Univ. Press, 1954.
Arkhangel’skii, A.V. and Ponomarev, V.I.:Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian).
Golubitsky, M. and Guillemin, V.:Stable mappings and their singularities, Springer, 1973.
Arnold, V.I., Gusein-Zade, S.M. [S.M. Khusein-Zade] and Varchenko, A.N.:Singularities of differentiable maps, Birkhauser, 1985 (translated from the Russian).
Kleene, S.C.: ‘Representation of events in nerve nets and finite automata’, inAutomata studies, Vol. 34, Princeton Univ. Press, 1956, pp. 3–41.
Yablonskii, S.V.:Introduction to discrete mathematics, Moscow, 1986 (in Russian).
Ginsburg, S.:The mathematical theory of context-free languages, MacGraw-Hill, 1965.
Hopcroft, J.E. and Ullman, J.D.:Introduction to automata theory, languages and computation, Addison-Wesley, 1979.
Kargapolov, M.I. and Merzljakov, J.I. [Yu.I. Merzlyakov]: Fundamentals of the theory of groups, Springer, 1979 (translated from the Russian).
Kurosh, A.G.:The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian)
Coxeter, H.S.M. and Moser, W.O.J.:Generators and relations for discrete groups, Springer, 1984.
Johnson, D.L.:Presentations of groups, Cambridge Univ. Press, 1988.
Lyndon, R.C. and Schupp, P.E.:Combinatorial group theory, Springer, 1977.
Magnus, W., Karras, A. and Solitar, D.:Combinatorial group theory: presentations of groups in terms of generators and relations, Interscience, 1966.
Serre, J.-P.: ‘Sut la cohomologie des varietes algebriques’,J. Math. Pures Appl 36, no. 5 (1957), 1–16.
Serre, J.-P.: ‘Faisceaux algebriques coherents’,Ann. of Math.61 (1955), 197–238.
Grothendieck, A.: ‘Elements de geometrie algebrique III’,Publ. Math. IHES 17 (1963), Chapt. 3, Part 2.
Grothendieck, A.:Fondements de la geometrie algebrique, Seer. Math., 1962. Extracts Sem. Bourbaki 1957–1962.
Hartshorne, R.:Ample subvarieties of algebraic varieties, Springer, 1970.
Ogus, A.: ‘Local cohomological dimension of algebraic varieties’,Ann. of Math.98, no. 2 (1973), 327–365.
Shafarevich, I.R.: ‘Algebraic number fields’, inProc. internal congress mathematicians Stockholm, 1962, Inst. Mittag-Leffler, 1962, pp. 163–176.
Arakelov, S.Yu.: ‘Families of algebraic curves with fixed degeneracies’,Math. USSR Izv.5, no$16 (1971), 1277–1302. (Izv. Akad. Nauk SSSR Ser. Math.35, no. 6 (1971), 1269–1293 )
Faltings, G.: ‘Endlichkeitssatze fur abelsche Varietaten iiber Zahlkorpern’,Invent. Math.73 (1983), 349–366.
Hartshorne, R.:Algebraic geometry, Springer, 1977.
Mazur, B.: ‘On some of the mathematical contributions of Gerd Faltings’, inProc. internal congress mathematicians Berkeley, 1986, Amer. Math. Soc., 1987, pp. 7–12.
Kleiman, S.: ‘Finiteness theorem for algebraic cycles’, inProc. internal congress mathematicians Nice, 1970, Vol. 1, Gauthier-Villars, 1971, pp. 445–449.
Cartan, H. and Serre, J.-P.: ‘Une theorfcme de finitude concernant les varietes analytiques compactes’,C.R Acad. Sci. Paris 237 (1953), 128–130.
Andreotti, A. and Grauert, G.: ‘Theoremes de finitude pour la cohomologie des espaces complexes’,Bull. Soc. Math. France 90 (1962), 193–259.
Ramis, J.P.: ‘Theoremes de separation et de finitude pour Thomologie et la cohomologie des espaces (p,q)-convexes-concaves’,Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mat. Ser.3 27, no. 4 (1973), 933–997.
Grauert, G.: ‘Ein Theorem der analytischen Garbentheorie und die Modulraume Komplexer Strukturen’,Publ. Math. IHES 5 (1960).
Bănică, C. and Stănăşilă, O.:Algebraic methods in the global theory of complex spaces, Wiley, 1976 (translated from the Rumanian).
Onishchik, A.L.: ‘Pseudoconvexity in the theory of complex spaces’,J. Soviet Math.14, no$14 (1980), 1363–1428. (Itogi Nauk. Algebra Topol. Geom.15 (1977), 93–171 )
Kiehl, R.: ‘Der Endlichkeitssatz fur eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie’,Invent. Math.2, no. 3 (1966), 191–214.
Grauert, H. and Remmert, R.:Coherent analytic sheaves, Springer, 1984 (translated from the German).
Kleene, S.C.:Introduction to metamathematics, North-Holland, 1951.
Fraenkel, A. A. and Bar-Hillel, Y.:Foundations of set theory, North-Holland, 1958.
Hilbert, D. and Bernays, P.:Grundlagen der Mathematik, 1–2, Springer, 1968–1970.
Troelstra, A.S.: ‘Aspects of constructive mathematics’, in J. Barwise (ed.):Handbook of Mathematical Logic, North-Holland, 1977, pp. 973–1052.
Finsler, P.: Ueber Kurven und Flachen in allgemeinen Raumen, Gottingen, 1918. Dissertation.
Rund, H.: The differential geometry of Finsler spaces, Springer, 1959.
Asanov, G.S.: Finsler geometry, relativity and gauge theories, Reidel, 1985 (translated from the Russian).
Matsumoto, M.:Foundations of Finsler geometry and special Finsler spaces, Kaiseisha Press, 1986.
Buseman, H.:The geometry of geodesies, Acad. Press, 1955.
Rinow, W.:Die innere Geometrie der metrischen Raume, Springer, 1961.
Rund, H.:The differential geometry of Finsler spaces, Springer, 1959.
Aleksandrov, A.D.:Die innere Geometrie der konvexen Flachen, Akademie-Verlag, 1955 (translated from the Russian).
Aleksandrov, A.D.: ‘A theorem on triangles in a metric space and some of its applications’,Trudy Mat. Inst. Steklov.38 (1951), 5–23 (in Russian).
Aleksandrov, A.D.: ‘Ueber eine Verallgemeinerung der Riemannsche Geometrie’,Schrift. Inst. Math. Deutsch. Akad. Wiss. 1 (1957), 33–84.
Berestovskii, V.N.: ‘Introduction of a Riemann structure into certain metric spaces’,Siberian Math. J.16, no$14 (1975), 499–507. (Sibirsk. Mat. Zh.16, no. 4 (1975), 651–652 )
Nikolaev, I.G.: ‘Space of directions at a point in a space of curvature not greater than K’,Siberian Math. J.19, no$16 (1978), 944–948. (Sibirsk. Mat. Zh.19, no. 6 (1978), 1341–1348 )
Nikolaev, I.G.: ‘Solution of Plateau’s problem in spaces of curvature not greater than K’,Siberian Math. J.20, no$12 (1979), 246–251. (Sibirsk. Mat. Zh.20, no. 2 (1979), 345–353 )
Reshetnyak, Yu.G.: ‘On the theory of spaces with curvature no greater than K’,Mat. Sb.52, no. 3 (1960), 789–798 (in Russian).
Reshetnyak, Yu.G.: ‘Inextensible mappings in a space of curvature not greater than K’,Siberian Math. J.9, no$14 (1968), 683–689. (Sibirsk. Mat. Zh.9, no. 4 (1968), 918–927 )
Busemann, H.:The geometry of geodesies, Acad. Press, 1955.
Busemann, H.:Recent synthetic differential geometry, Springer, 1970.
Cohn-Vossen, S.: ‘Existenz kiirzester Wege’,Compos. Math.3 (1936), 441–452.
Berestovskii, V.N.: ‘The finite-dimensionality problem for Busemann G-spaces’,Siberian Math. J.18, no$11 (1977), 159–161. (Sibirsk. Mat. Zh.18, no. 1 (1977), 219–221 )
Berestovskii, V.N.: ‘Homogeneous Busemann G-spaces’,Siberian Math. J.23, no$12 (1982), 141–150. (Sibirsk. Mat. Zh.23, no. 1 (1982), 3–15 )
Szenthe, J.: ‘Homogeneous spaces with intrinsic metric’,Magyar Tud Akad Mat. Fiz. Oszt. Kozl.13 (1963), 125–132 (in Hungarian).
Berestovskii, V.N.: ‘Generalized symmetric spaces’,Siberian Math. J.26, no$12 (1985), 159–170. (Sibirsk. Mat. Zh.26, no. 2 (1985), 3–17 )
Busemann, H. and Phadke, B.B.:Spaces with distinguished geodesies, M. Dekker, 1987.
Gromov, M.:Structures metriques des espaces riemanniennes, F. Nathan, 1981 (translated from the Russian).
Bitsadze, A.V.:Some classes of partial differential equations, Moscow, 1981 (in Russian).
Bers, L., John, F. and Schechter, M.:Partial differential equations, Interscience, 1964.
Courant, R. and Hilbert, D.:Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Miranda, C.:Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Petrowski, I.G. [I.G. Petrovskii]:Vorlesungen über partielle Differentialgeleichungen, Teubner, 1965 (translated from the Russian).
Bitsadze, A.V.:The equations of mathematical physics, Moscow, 1976 (in Russian).
Hormander, L.:Linear partial differential operators, Springer, 1976.
Hormander, L.:The analysis of linear partial differential operators, 3, Springer, 1985.
Gilbarg, D. and Trudinger, N.S.:Elliptic partial differential equations of second order, Springer, 1977.
Ladyzhenskaya, O.A. and Ural’tseva, N.N.:Linear and quasilinear elliptic equations, Acad. Press, 1968 (translated from the Russian).
Friedman, A.:Partial differential equations, Holt, Rinehart amp; Winston, 1969.
Friedman, A.:Partial differential equations of parabolic type, Prentice-Hall, 1964.
Garabedian, P.R.:Partial differential equations, Wiley, 1964.
Blaschke, W. and Leichtweiss, K.:Elementare Differential-geometrie, Springer, 1973.
Hicks, N.J.:Notes on differential geometry, v. Nostrand, 1965.
Kobayashi, S. and Nomizu, K.:Foundations of differential geometry, Ml, Interscience, 1963-1969.
Hsiung, C.C.:A first course in differential geometry, Wiley, 1981.
Millman, R.S. and Parker, G.D.:Elements of differential geometry, Prentice Hall, 1977.
Pontryagin, L.S.:Ordinary differential equations, Addison-Wesley, 1962 (translated from the Russian).
Fisher, R.A.:‘On a distribution yielding the error functions of several well-known statistics’, inProc. internal congress mathematicians Toronto 1924, Vol. 2, Univ.
Kendall, M.G. and Stuart, A.:The advanced theory of statistics. Distribution theory, Griffin, 1969.
Scheffg, H.:The analysis of variance, Wiley, 1959.
Bol’shev, L.N. and Smirnov, N.V.:Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow, 1983 (in Russian). Processed by L.S. Bark and E.S. Kedova.
Fisher, R.A.: ‘On a distribution yielding the error functions of several well-known statistics’, inProc. internal congress mathematicians Toronto 1924, Vol. 2, Univ.
Fitting, H.: ‘Beitrage zur Theorie der Gruppen endlicher Ordnung’,Jahresber. Deutsch. Math-Verein 48 (1938), 77–141.
Kurosh, A.G.:The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian).
Gorenstein, D.:Finite groups, Harper amp; Row, 1968.
Huppert, B.:Endliche Gruppen, 1, Springer, 1967.
Huppert, B.:Finite groups, 2–3, Springer, 1982.
Robinson, D.J.S.:A course in the theory of groups, Springer, 1982.
Lyusternik, L.A. and Sobolev, V.I.:Elemente der Funktionalanalysis, Akad. Verlag, 1968 (translated from the Russian).
Krasnosel’skii, M.A.:Topological metods in the theory of nonlinear integral equations, Pergamon, 1964 (translated from the Russian).
Krasnosel’skii, M.A. and Zabreiko, P.P.:Geometric methods of non-linear analysis, Springer, 1983 (translated from the Rus¬sian).
Nemytskii, V.V.:Uspekhi Mat. Nauk 1, no. 1 (1946), 141–174.
Leray, J. and Schauder, J.: ‘Topology and functional equations’,Uspekhi Mat. Nauk 1, no. 3-4 (1946), 71–95 (in Russian).
Sadovskii, B.N.: ‘Limit-compact and condensing operators’,Russian Math. Surveys 27, no$11 (1972), 85–155. (Uspekhi Mat. Nauk 27, no. 1 (1972), 81–146 )
Dugundji, J. and Granas, A.:Fixed point theory, PWN, 1982.
Schwerdtfeger, H.:Geometry of complex numbers, Dover, reprint, 1979.
Golubev, V.V.:Vorlesungen fiber Differentialgleichungen im Komplexen, Deutsch. Verlag Wissenschaft., 1958 (translated from the Russian).
Milne, J.S.:Etale cohomology, Princeton Univ. Press, 1980.
Rozenfel’d, B.A.:Non-Euclidean spaces, Moscow, 1969 (in
Coxeter, H.S.M.: ‘The affine aspect of Yaglom’s Galilean Feuerbach’,Nieuw Archief voor Wiskunde (4)1 (1983), 212–223.
Yaglom, I.M.:A simple non-Euclidean geometry and its physical basis, Springer, 1979 (translated from the Russian).
Borel, A.:Linear algebraic groups, Benjamin, 1969.
Humphreys, J.E.:Linear algebraic groups, Springer, 1975.
Bernshtein, I.N., Gel’fand, I.M. and Gel’fand, S.I.: ‘Schubert cells and cohomology of the spacesG/P’,Russian Math. Surveys 28, no$13 (1973), 1–26. (Uspekhi Mat. Nauk 28, no. 3 (1973), 3–26 )
Kodaira, K. and Spencer, D.C.: ‘Multifoliate structures’,Ann. of Math.74 (1961), 52–100.
Whitney, H.:Geometric integration theory, Princeton Univ. Press, 1957.
Cartan, H. and Eilenberg, S.:Homological algebra, Princeton Univ. Press, 1956.
Lambek, J.:Lectures on rings and modules, Blaisdell, 1966.
Bourbaki, N.:Commutative algebra, Addison-Wesley, 1964 (translated from the French).
Grothendieck, A. and Deeudonné, J.: ‘Elements de geometrie algebrique’,Publ. Math. IHES 24 (1964).
Grothendieck, A. and Deeudonné, J.: ‘Elements de geometrie algebrique’,Publ. Math. IHES 28 (1964).
Mumford, D.:Lectures on curves on an algebraic surface, Princeton Univ. Press, 1966.
Raynaud, M. and Gruson, L.: ‘Criteres de platitude et de projective. Techniques de ‘platification’ d’un module’,Invent. Math.13 (1971), 1–89.
Hartshorne, R.:Algebraic geometry, Springer, 1977.
Whitney, H.:Geometric integration theory, Princeton Univ. Press, 1957.
Hsiung, C.C.:A first course in differential geometry, Wiley, 1981.
Floquet, G.:Ann. Sci. Ecole Norm Sip.12, no. 2 (1883), 47–88.
Lyapunov, A.M.: ‘The general problem of stability of motion’, inCollected works, Vol.2, Moscow-Leningrad, 1956, pp. 7–263 (in Russian).
Demidovich, B.P.:Lectures on the mathematical theory of stability, Moscow, 1967 (in Russian).
Yakubovich, V.A. and Starzhinskii, V.M.:Linear differential equations with periodic coefficients, Wiley, 1975 (translated from the Russian).
Massera, J.L. and Shaffer, J.J.:Linear differential equations and function spaces, Acad. Press, 1966.
Erugin, N.P.:Linear systems of ordinary differential equations with periodic and quasi-periodic coefficients, Acad. Press, 1966 (translated from the Russian).
Hale, J.K.:Ordinary differential equations, Wiley, 1969.
Hartman, P.:Ordinary differential equations, Birkhauser, 1982.
Bhatia, N.P. and Szego, G.P.:Stability theory of dynamical systems, Springer, 1970.
Cornfeld, LP. [LP. Kornfel’d], Fomin, S.V. and Sinat, Ya.G.:Ergodic theory, Springer, 1982 (translated from the Russian).
Palis, J. and de Melo, W.:Geometric theory of dynamical systems, Springer, 1982.
Ford, L.R. and Fulkerson, D.R.:Flows in networks, Princeton Univ. Press, 1962.
A1] Bondy, J.A. and Murty, U.S.R.:Graph theory with applications, McMillan, 1976, Chapt. 11.
Hu, T.C.:Integer programming and network flows, Addison-Wesley, 1969.
Smith, D.K.:Network optimization practice: a computational guide, Chichester, 1982.
Lawler, E.L.:Combinatorial optimization: networks and matroids, Holt, Rinehart and Winston, 1976.
Tarjan, R.E.:Data structures and network algorithms, SIAM, 1983.
Tardos, E.: ‘A strongly polynomial minimum cost circulation algorithm’,Combinatorica 5 (1985), 247–255.
Goldberg, A.V. and Tarjan, R.E.: ‘Finding minimum-cost circulations by successive approximation’,Math, of Operations Research (To appear).
Minieka, E.:Optimization algorithms for networks and graphs, M. Dekker, 1978.
Kennington, J. and Helgason, R.:Algorithms for network programming, Wiley, 1980.
Spivak, M.:Calculus on manifolds, Benjamin, 1965. References
Finikov, S.P.:Theorie der Kongruenzen, Akademie-Verlag, 1959 (translated from the Russian).
Fock, V.:Z Phys.75 (1932), 622–647.
Berezin, F.A.:The method of second quantization, Acad. Press, 1966 (translated from the Russian). Revised (augmented) second edition: Kluwer, 1989.
Dobrushin, R.L. and Minlos, R.A.: ‘Polynomials in linear random functions’,Russian Math. Surveys 32, no$12 (1971), 71–127. (Uspekhi Mat. Nauk 32, no. 2 (1977), 67–122 )
Simon, B.:The P(∅) 2 -Euclidean (quantum) field theory, Princeton Univ. Press, 1974.
Bogolubov, N.N., Logunov, A.A. and Todorov, I.T.:Introduction to axiomatic quantum field theory, Benjamin, 1975.
Bongaarts, P.J.M.: ‘The mathematical structure of free quantum fields. Gaussian systems’, in E.A. de Kerf and H.G.J. Pijls (eds.):Proc. Seminar. Mathematical structures in field theory, CWI, Amsterdam, 1984–1986, pp. 1–50.
Hartman, P.:Ordinary differential equations, Birkhauser, 1982.
Berger, M.:Geometry, Springer, 1987, Chapt. 17.
Coolidge, J.:Algebraic plane curves, Dover, 1959, p. 171; 180; 183; 192.
Hormander, L.:The analysis of linear partial differential operators, 3, Springer, 1985.
Arnold, V.I., Gusein-Zade, G.M. [G.M. Khusetn-Zade] and Varchencho, A.N.:Singularities of differentiable maps, 1, Birkhauser, 1985 (translated from the Russian).
Reeb, G.:Sur certains proprietes topologiques des varietes feuilletees, Hermann, 1952.
Reeb, G. and Schweitzer, P.A.: ‘Une theoreme de Thurston etabli au moyen de l’analyse non standard’, inDifferential topology, foliations and Gel’fand—FuJcs cohomology, Lecture notes in math., Vol. 652, Springer, 1978, p. 318.
Chevalley, C.:Theory of Lie groups, 1, Princeton Univ. Press, 1946.
Haefliger, A.: ‘Varietes feuilletees’,Ann. Scuola Norm. Sup. Pisa. Ser.3 16 (1962), 367–397.
Kuiper, N. (ed.):Manifolds, Amsterdam 1970, Lecture notes in math., 197, Springer, 1971.
Haefliger, A.: ‘Feuilletages sur les varices ouvertes’,Topology 9, no. 2 (1970), 183–194.
Novikov, S.P.: ‘Topology of foliations’,Trans. Amer. Math. Soc.14 (1967), 268–304. (Trudy Moskov. Mat. Obshch.14 (1965), 248–278 )
Smooth dynamical systems, Moscow, 1977 (in Russian; translated from the English).
Besse, A.:Manifolds all of whose geodesies are closed, Springer, 1978.
Thurston, W.: ‘The theory of foliations of codimension greater than one’,Comm. Math. Heh.49 (1974), 214–231.
Thurston, W.: ‘Existence of codimension one foliations’,Ann. of Math.104, no. 2 (1976), 249–268.
Lawson, H.: ‘Foliations’,Bull. Amer. Math. Soc.80 (1974), 369–418.
Lawson, H.:The quantitative theory of foliations, Amer. Math. Soc., 1977.
Mishachev, M.M. and Eliashberg, Ya.M.: ‘Surgery on singularities of foliations’,Fund. Anal Appl.11, no$13 (1977), 197–205. (Funktsional. Anal. Prilozhen.11, no. 3 (1977), 43–53 )
Furs, D.B.: ‘Cohomology of infinite-dimensional Lie algebras and characteristic classes of foliations’,J. Soviet Math.11, no$16 (1979), 922–980. (Itogi Nauk. Tekhn. Sovrem Probl. Mat.10 (1978), 179–285 )
Fuks, D.B.: ‘Foliations’, J. Soviet Math. 18, no. 2 (1982), 255–291. (Itogi Nauk. Tekhn. Algebra Topol. Geom 18(1981), 151–213)
Tamura, I.: Topology of foliations, Iwanami Shoten, 1976 (in Japanese)
Reinhart, B.:Differential geometry of foliations, Springer, 1983.
Anosov, D.V.: ‘Geodesic flows on closed Riemannian manifolds with negative curvature’, Proc. Steklov Inst. Math.90 (1969). (Trudy Mat. Inst. Steklov.90 (1967))
Savelov, A.A.:Plane curves, Moscow, 1960 (in Russian).
Smogorzhevskii, A.S. and Stolova, E.S.:Handbook of the theory of plane curves of order three, Moscow, 1961 (in Russian).
Lawrence, J.D.:A catalog of special plane curves, Dover, reprint, 1972.
Fladt, K.:Analytische Geometrie spezieller ebener Kurven, Akad. Verlagsgeseilschaft, 1962.
Andronov, A.A.:Collected work, Moscow, 1956 (in Russian).
Babakov, I.M.:Oscillation theory, Moscow, 1965 (in Russian).
Butenin, N.V.:The theory of oscillations, Moscow, 1963 (in Russian).
Kolovskii, M.Z.:Non-linear theory of vibro-protective systems, Moscow, 1966 (in Russian).
Stoker, J.J.:Nonlinear vibrations in mechanical and electrical systems, Interscience, 1950.
Strelkov, S.P.:Introductions to oscillation theory, Moscow, 1964 (in Russian).
Tse, F.S., Morse, I.E. and Hinkle, R.T.:Mechanical vibrations, Allyn amp; Bacon, 1963.
Andronov, A.A., Vitt, A.A. and Khatkin, A.E.:Theory of oscillators, Dover, reprint, 1987 (translated from the Russian).
Cohen, P.J.:Set theory and the continuum hypothesis, Benjamin, 1966.
Jech, T.J.:Lectures in set theory: with particular emphasis on the method of forcing, Springer, 1971.
Takeuti, G. and Zaring, W.M.:Axiomatic set theory, Springer, 1973.
Shoenfield, J.R.:Mathematical logic, Addison-Wesley, 1967.
Manin, Yu.I.: ‘The problem of the continuum’,J. Soviet Math.5, no$14 (1976), 451–502. (Itogi Nauk. i Tekhn. Sovrem Problemy 5 (1975), 5–73 )
Fitting, M.C.:Intuitionist logic model theory and forcing, North-Holland, 1969.
Kunen, K.:Set theory, an introduction to independence proofs, North-Holland, 1980.
Bell, J.L.:Boolean-valued models and independence proofs in set theory, Oxford Univ. Press, 1977.
Burgess, J.R: ‘Forcing’, in J. Barwise (ed.):Handbook of mathematical logic, North-Holland, 1977, pp. 403–452.
Jech, T.:Set theory, Acad. Press, 1978.
Borel, A.:Linear algebraic groups, Benjamin, 1969.
Humphreys, J.E.:Linear algebraic groups, Springer, 1975.
Serre, J.-P.:Cohomologie Galoisienne, Springer, 1964.
Serre, J.-P.:Groupes algebrique et corps des classes, Hermann, 1959.
Voskresenskii, V.E.:Algebraic tori, Moscow, 1977 (in Russian).
Borel, A. and Tits, J.: ‘Groupes reductifs’,Publ. Math. IHES 27 (1965), 55–150.
Borel, A. and Tits, J.: ‘Complement a l’article ‘Groupes reductifs’’,Publ Math. IHES 41 (1972), 253–276.
Tits, J.: ‘Classification of algebraic semi-simple groups’, inProc. Symposia Pure Math., Vol. 9, Amer. Math. Soc., 1966, pp. 33–62.
Springer, T.A.: ‘Reductive groups’, inProc. Symposia Pure Math., Vol. 33, Amer. Math. Soc., 1979, pp. 3–27.
Serre, J.-P.:Local fields, Springer, 1979 (translated from the French).
Demazure, M. and Gabriel, P.:Groupes algebriques, 1, Masson, 1970.
Jantzen, J.C.:Representations of algebraic groups, Acad. Press, 1987.
Knus, M.-A. and Ojanguren, M.:Theorie de la descent et algebres d’Azumaya, Springer, 1974.
Grothendieck, A.: ‘RevStements Stales et groupe fondamental’, inSGA 1960–1961, Exp. VI: Categories fibres etdescente, IHES, 1961.
Murre, J.P.:Lectures on an introduction to Grothendieck’s theory of the fundamental group, Tata. Inst. Fund. Res., 1967, Chapt. VII.
Serre, J.-P.:Cohomologie Galoisienne, Springer, 1964.
Seligman, G.B.:Modular Lie algebras, Springer, 1967, Chapt. IV.
Serre, J.-P.:Groupes algebriques et corps de classes, Hermann, 1959, Chapt. V, Sect. 20.
Jacobson, N.:Lie algebras, Dover, reprint, 1979, Chapt. X.
Manin, Yu.I.: ‘The theory of commutative formal groups over fields of finite characteristic’,Russian Math. Surveys 18 (1963), 1–80. (Uspekhi Mat. Nauk 18, no. 6 (1963), 3–90 )
Stong, F.L.E.:Notes on cobordism theory, Princeton Univ. Press, 1968.
Serre, J.-P.:Lie algebras and Lie groups, Benjamin, 1965 (translated from the French).
Hartshorne, R.:Algebraic geometry, Springer, 1977.
Lazard, M.:Commutative formal groups, Springer, 1975.
Fontaine, J.-M.:‘Groupes p-divisibles sur les corps locaux’,Asterique 47–48 (1977).
Mazur, B. and Tate, J.: ‘Canonical height pairings via biextensions’, in J. Tate and M. Artin (eds.):Arithmetic and geometry, Vol. 1, Birkhauser, 1983, pp. 195–237.
Tate, J.T.: ‘p-divisible groups’, in T.A. Springer (ed.):Proc. Conf. local fields (Driebergen,1966), Springer, 1967, pp. 158–183.
Serre, J.-P.: ‘Groupesp-divisible (d’ après J. Tate)’,Sem. Bourbaki 19, Exp. 318 (1966–1967).
Hazewinkel, M.:Formal groups and applications, Acad. Press, 1978.
Demazure, M. and Gabriel, P.:Groupes algebriques, 1, Masson amp; North-Holland, 1970.
Lubin, J. and Tate, J.: ‘Formal complex multiplication in local fields’,Ann. of Math.81 (1965), 380–387.
Gladkii, A.V.:Formal grammars and languages, Moscow, 1973 (in Russian).
Ginsburg, S., Greibach, S. and Hopcroft, Y.: ‘Studies in abstract families of languages’,Mem Amer. Math. Soc.87 (1969), 1–31
Languages and automata, Moscow, 1975 (in Russian). Collection of translations.
Chomsky, N.: ‘Three models for the description of language’,IRE Trans. Information Theory IT-2 (1956), 113–124.
Chomsky, N.:Syntactic structures, Mouton, 1957.
Davis, M.:Computability and unsolvability, McGraw-Hill, 1958.
Eilenberg, S.:Automata, languages and machines, A, Acad. Press, 1974.
Hilbert, D.: ‘Mathematische Probleme. Vortrag, gehalten auf dem internationalen Mathematiker-Kongress zu Paris, 1900’, inGesammelte Abhandlungen, Vol. III, Springer, 1935.
Kleene, S.C.: ‘Representation of events in nerve nets and finite automata’, inAutomata Studies, Princeton Univ. Press, 1956, pp. 3 - 42.
Paz, A.:Introduction to probabilistic automata, Acad. Press, 1971.
Post, E.L.: ‘A variant of a recursively unsolvable problem’,Bull. Amer. Math. Soc.52 (1946), 264–268.
Rogers, Jr., H.:Theory of recursive functions and effective computability, McGraw-Hill, 1967.
Rozenberg, G.: ‘Selective substitution grammars’,Elektronische Informationsverarbeitung und Kybernetik (EIK) 13 (1977), 455–463.
Salomaa, A.:Theory of automata, Pergamon Press, 1969.
Salomaa, A.:Formal languages, Acad. Press, 1973.
Salomaa, A.:Jewels of formal language theory, Computer Science Press, 1981.
Salomaa, A. and Soittola, M.:Automata-theoretic aspects of formal power series, Springer, 1978.
Thue, A.: ‘Ueber unendliche Zeichenreihen’,Skrifter utgit av Videnskapsselskapet i Kristiania I (1906), 1–22.
Thue, A.:‘Probleme uber Veranderungen von Zeichenreihen nach gegebenen Regeln’,Skrifter utgit av Videnskapsselskapet i Kristiania 1.10 (1914).
Turing, A.M.: ‘On computable numbers, with an application to the Entscheidungsproblem’,Proc. London Math. Soc.42 (1936), 230–265.
Hilbert, D. and Bernays, P.:Grundlagen der Mathematik, 1–2, Springer, 1968–1970.
Fraenkel, A. A. and Bar-Hillel, Y.:Foundations of set theory, North-Holland, 1958.
Spector, C.: ‘Provable recursive functional of analysis: a consistency proof of analysis by an extension of principles formulated in current intuitionistic mathematics’, inRecursive function theory, Proc. Symp. Pure Math., Vol. 5, Amer. Math. Soc., 1962, pp. 1–27.
Bourbaki, N.:Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Zariski, O. and Samuel, P.:Commutative algebra, 2, v. Nostrand, 1958.
Series formelles en variables noncommutatives et aplications, Lab. Inform, theor. et programmation, 1978.
Nagata, M.:Local rings, Interscience, 1960.
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, 1979.
Hilbert, D.:Grundlagen der Geometrie, Springer, 1913.
Kleene, S.C.:Introduction to metamathematics, North-Holland, 1951.
Church, A.:Introduction to mathematical logic, 1, Princeton Univ. Press, 1956.
Maclane, S.: ‘Topology and logic as a source of algebra’,Bull. Amer. Math. Soc.82, no. 1 (1976), 1–40.
Hilbert, D.:Grundlagen der Geometrie, Springer, 1913.
Gentzen, G.:Collected papers, North-Holland, 1969.
Gödel, K.: ‘Ueber formal unentscheidbare Satze der Principia Mathematica und verwandter Systeme I’,Monatsh. Math. Physik 38 (1931), 178–198.
Novikov, P.S.:Elements of mathematical logic, Oliver amp; Boyd, 1964 (translated from the Russian).
Kleene, S.C.:Mathematical logic, Wiley, 1967.
Curry, H.B.:Foundations of mathematical logic, McGraw-Hill, 1963.
Kleene, S.C.:Introduction to metamathematics, North-Holland, 1951.
Church, A.:Introduction to mathematical logic, 1, Princeton Univ. Press, 1956.
Hilbert, D. and Bernays, P.:Grundlagen der Mathematik, 1–2, Springer, 1968–1970.
Barwise, J. (ed.):Handbook of mathematical logic, North-Holland, 1971
Stoy, E.:Denotations semantics, the Scott-Strachey approach to programming language theory, MIT, 1977.
Bakker, J. de:Mathematical theory of program correctness, Prentice-Hall, 1980.
Thomason, R.H. (Ed.):Formal philosophy, selected papers from Richard Montague, Yale Univ. Press, 1974.
Janssen, T.M.V.:Foundation and applications of Montague grammar, 1: Philosophy, framework, computer science, CWI, 1986.
Maccracken, D.D. and Dorn, W.S.:Numerical methods with Fortran-IV programming, case studies, Wiley, 1972.
Grund, F.:Fortan-IV Programmierung, Deutsch. Verlag Wissenschaft., 1972.
Katzan, H.:Fortran 77, v. Nostrand, 1978.
Backus, J.: ‘Can programming be liberated from the von Neumann style? A functional style and its algebra of programs’,Comm. ACM 21, no. 8 (1978), 613–641.
Backus, J.: ‘The history of FORTRAN I, II and III’,ACM SIG-PLAN NOTICES A3, no. 8 (1978), 165–180.
The thirteen books of Euclid’s elements’, inEuclid, Archimedes, Apollonius of Perge, Nicomachus. Great books of the Western world, Vol. 11, 1968 (Translated from the Greek).
Hilbert, D.:Grundlagen der Geometrie, Springer, 1913.
Veblen, O. and Whitehead, J.:The foundations of differential geometry, Cambridge Univ. Press, 1932.
On the foundations of geometry, Moscow, 1956 (in Russian).
Kagan, V.F.:The foundations of geometry, 1–2, Moscow-Leningrad, 1949–1956 (in Russian).
Kagan, V.F.:Sketches on geometry, Moscow, 1963 (in Russian).
Busemann, H.:The geometry of geodesies, Acad. Press, 1955.
Efimov, N.V.:Höhere Geometrie, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian).
Bachmann, F.:Aufbau der Geometrie aus dem Spiegelungsprinzip, Springer, 1973.
Rozenfel’d, B.A.:The history of non-Euclidean geometry, Springer, To appear (translated from the Russian).
Pogorelov, A.V.:Elementargeometrie, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian).
Choquet, G.:Geometry in a modern setting, Kershaw, 1969.
Doneddu, A.:Geometrie euclidienneplane, Dunod, 1965.
Kartészi, F.:Introduction to finite geometries, North-Holland, 1976 (translated from the Hungarian).
Hilbert, D.:Foundations of geometry, Open court, Lasalle, 1971 (translated from the German).
Greenberg, M.:Euclidean and non-Euclidean geometry, Freeman, 1974.
Busemann, H.:Recent synthetic geometry, Springer, 1970.
Riemann, B.: ‘Ueber die Hypothesen, welche der Geometrie zuGrunde liegen’, inDas Kontinuum und andere Monographien, Chelsea, reprint, 1973.
Harary, F.:Graph theory, Addison-Wesley, 1969.
Ore, O.:The four-colour problem, Acad. Press, 1967.
Appel, K. and Haken, W.: ‘Every map is four-colorable I. Discharging’,Illinois J. Math.21, no. 3 (1977), 429–490.
Appel, K. and Haken, W.: ‘Every map is four-colorable II. Reducibility’,Illinois J. Math.21, no. 3 (1977), 491–567.
Mandelbaum, R.: ‘Four-dimensional topology: an introduction’,Bull Amer. Math. Soc.2 (1980), 1–159.
Freedman, M.H.: ‘The topology of four-dimensional manifolds’,J. Differential Geom.17 (1982), 357–453.
Donaldson, S.K.: ‘An application of gauge theory to four-dimensional topology’,J. Differential Geom.18 (1983), 279–315.
Freed, D.S. and Uhlenbeck, K.K.:Instantons and four-manifolds, Springer, 1984.
Titchmarsh, E.C.:Introduction to the theory of Fourier integrals, Oxford Univ. Press, 1948.
Kaczmarz, S. and Steinhaus, H.:Theorie der Orthogonalreihen, Chelsea, reprint, 1951.
Besicovitch, A.S.:Almost periodic functions, Cambridge Univ. Press, 1932, Chapt. I.
Wiener, N.:The Fourier integral and certain of its applications, Dover, reprint, 1933, Chapt. II.
Titchmarsh, E.C.:Introduction to the theory of Fourier integrals, Oxford Univ. Press, 1948.
Bochner, S.:Lectures on Fourier integrals, Princeton Univ. Press, 1959 (translated from the German).
Zygmund, A.:Trigonometric series, 1–2, Cambridge Univ. Press, 1988.
Maslov, V.P.:Theorie des perturbations et methodes asymptotiques, Dunod, 1972 (translated from the Russian).
Hormander, L.: ‘Fourier integral operators, I’,Acta Math.127 (1971), 79–183.
Maslov, V.P. and Fedoryuk, M.V.:Semi-classical approximation in quantum mechanics, Reidel, 1981 (translated from the Russian).
Fedoryuk, M.V.: ‘Singularities of the kernels of Fourier integral operators and the asymptotic behaviour of the solution of the mixed problem’,Russian Math. Surveys 32, no$16 (1977), 67–120. (Uspekhi Mat. Nauk 32, no. 6 (1977), 67–115 )
Kucherenko, V.V.: ‘Semi-classical asymptotics of a point source function for a steady-state Schrodinger equation’,Teoret. i Mat. Fiz.1 (1969), 384–406 (in Russian).
Vainberg, B.R.:Asymptotic methods in the equations of mathematical physics, Gordon amp; Breach, 1988 (translated from the Russian).
Vainberg, B.R.: ‘A complete asymptotic expansion of the spectral function of second order elliptic operators in Rn’,Math. USSR-Sb.51, no$11 (1985), 191–206. (Mat. Sb.123, no. 2 (1984), 195–211 )
Kucherenko, V.V.: ‘Asymptotic solution of the Cauchy problem for equations with complex characteristics’,J. Soviet Math.13, no$11 (1980), 24–118. (Itogi Nauk. i Tekhn. Sovr. Probl. Mat.8 (1977), 41–136 )
Maslov, V.P.:Operator methods, Moscow, 1976 (in Russian).
Mishchenko, A.S., Sternin, B.Yu. and Shatalov, V.E.:Lagrangian manifolds and the method of the canonical operator, Moscow, 1978 (in Russian).
Leray, J.:Lagrangian analysis and quantum mechanics, MIT, 1981 (translated from the French).
Egorov, Yu.B.: ‘Subelliptic operators’,Russian Math. Surveys 30, no$12 (1975), 59–118. (Uspekhi Mat. Nauk 30, no. 2 (1975), 57–114 )
Shubin, M.A.:Pseudo differential operators and spectral theory, Springer, 1987 (translated from the Russian).
Treves, F.:Introduction to pseudodifferential and Fourier integral operators, Plenum, 1980.
Hormander, L.:The analysis of linear partial differential operators, 4. Fourier integral operators, Springer, 1985.
Lax, P.D.: ‘Asymptotic solutions of oscillatory initial value problems’,Duke Math. J.24 (1957), 627–646.
Arnol’d, V.I.: ‘Characteristic class entering in quantization conditions’,Funct. Anal. Appl.1 (1967), 1–13. (Funkts. Anal. iPrilozhen.1 (1967), 1–14 )
Duistermaat, J.J. and Hormander, L.: ‘Fourier integral operators II’,Acta Math.128 (1972), 183–269.
Arnol’d, V.I.: ‘Integrals of rapidly oscillating functions and singularities of projections of Lagrangian manifolds’,Funct. Anal. Appl.6 (1972), 222–224. (Funkts. Anal, i Prilozhen.6 (1972), 61–62 )
Duistermaat, J.J.: ‘Oscillatory integrals, Lagrange immersions and unfoldings of singularities’,Comm. Pure Appl. Math.27 (1974), 207–281.
Chazarain, J.: ‘Formules de Poisson pour les varietes riemanniennes’,Invent. Math.24 (1974), 65–82.
Duistermaat, J.J. and Guillemin, V.W.: ‘The spectrum of positive elliptic operators and periodic characteristics’,Invent. Math.29 (1975), 39–79.
Melin, A. and Sjostrand, J.: ‘Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem’,Comm. Part. Diff. Equations 1 (1976), 313–400.
Taylor, M.E.:Pseudodifferential operators, Princeton Univ. Press, 1981.
Petersen, B.E.:Introduction to the Fourier transform and pseudo-differential operators, Pitman, 1983.
Chazarain, J. and Piriou, A.:Introduction to the theory of partial differential equations, North-Holland, 1982.
Duistermaat, J.J.:Fourier integral operators, Courant Inst. Math., 1973.
Dieudonné, J.:Elements d’analyse, 7–8, Gauthier-Villars, 1978.
Bitsadze, A.V.:The equations of mathematical physics, Moscow, 1976 (in Russian).
Miller, U.: Symmetry and separation of variables, Addison-Wesley, 1977.
Bluman, G.W. and Cole, G.D.:Similarity methods for differential equations, Springer, 1974.
Sedov, L.I.:Similarity and dimensional methods in mechanics, Infosearch, 1959.
Birkhoff, G.:Hydrodynamics, Princeton Univ. Press, 1960.
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, 1979.
Hardy, G.H. and Rogosinsky, W.W.:Fourier series, Cambridge Univ. Press, 1965.
Luzin, N.N.:The integral and trigonometric series, Moscow-Leningrad, 1951 (in Russian).
Lebesgue, H.:Legons sur les series trigonometriques, Gauthier- Villars, 1906.
Paplauskas, A.B.:Trigonometric series from Euler to Lebesgue, Moscow, 1966 (in Russian).
Ul’yanov, P.L.: ‘Solved and unsolved problems in the theory of trigonometric and orthogonal series’,Russian Math. Surveys 19, no$11 (1964), 1–62. (Uspekhi Mat. Nauk 19, no. 1 (1964), 3–69 )
Alimov, Sh.A., Il’in, V.A. and Nikishin, E.M.: ‘Convergence problems of multiple trigonometric series and spectral decomposition. I’,Russian Math. Surveys 31, no$16 (1976), 29–86. (Uspekhi Mat. Nauk 31, no. 6 (1976), 28–83 )
Salem, R.: ‘On a theorem of Zygmund’,Duke Math. J.10 (1943), 23–31.
Bochkarev, S.V.: ‘On a problem of Zygmund’,Math. USSR Izv.7, no$13 (1973), 629–637. (Izv. Akad. Nauk SSSR 37 (1973), 630–638 )
Stechkin, S.B.: ‘On absolute convergence of orthogonal series’,Dokl Akad Nauk SSSR 102 (1955), 37–40 (in Russian).
Kolmogoroff, A.N. [A.N. Kolmogorov] and Menschoff, D.E. [D.E. Menshov]: ‘Sur la convergence des series de fonctions orthogonales’,Math. Z.26 (1927), 432–441.
Zahorski, Z.: ‘Une serie de Fourier permutee d’une fonction de classe L2 divergente partout’,C.R Acad. Sci. Paris 251 (1960), 501–503.
Ul’yanov, P.L.: ‘Divergent Fourier series’,Russian Math. Surveys 16, no$13 (1961), 1–75. (Uspekhi Mat. Nauk 16, no. 3 (1961), 61–142 )
Olevskii, A.M.: ‘Divergent Fourier series for continuous functions’,Soviet Math. Dokl.2 (1961), 1382–1386. (Dokl. Akad. Nauk SSSR 141 (1961), 28–31 )
Fefferman, C.: ‘On the divergence of multiple Fourier series’,Bull. Amer. Math. Soc.77 (1971), 191–195.
Edwards, R.E.:Fourier series. A modern introduction, 1–2, Springer, 1979–1982.
Kahane, J.-P.:Series de Fourier absolument convergentes, Springer, 1970.
Katznelson, Y.:An introduction to harmonic analysis, Wiley, 1968.
Dym, H. and Mckean, H.P.:Fourier series and integrals, Acad. Press, 1972.
Stein, E.M. and Weiss, G.:Introduction to Fourier analysis on Euclidean spaces, Princeton Univ. Press, 1971.
Szegö, G.:Orthogonal polynomials, Amer. Math. Soc., 1975.
Geronimus, Ya.L.:Polynomials orthogonal on a circle and interval, Pergamon, 1960 (translated from the Russian).
Suetin, P.K.:Classical orthogonal polynomials, Moscow, 1979 (in Russian).
Freud, G.:Orthogonal polynomials, Pergamon, 1971 (translated from the German).
Nevai, P. and Freud, G.: ‘Orthogonal polynomials and Christoffel functions (A case study)’,J. Approx. Theory 48 (1986), 3–167.
Levitan, B.M.:Almost-periodic functions, Moscow, 1953 (in Russian).
Kuptsov, N.P.: ‘Direct and converse theorems of approximation theory and semigroups of operators’,Russian Math. Surveys 23, no. 4 (1968), 115–177. (Uspekhi Mat. Nauk 23, no. 4 (142) (1968), 117–178 )
Gaposhkin, V.F.: ‘Lacunary series and independent functions’,Russian Math. Surveys 21, no. 6 (1966), 1–82. (Uspekhi Mat. Nauk 21, no. 6 (132) (1966), 3–82 )
Corduneanu, C.:Almost periodic functions, Wiley, 1968.
Zygmund, A.:Trigonometric series, 1, Cambridge Univ. Press,
Bochner, S.:Lectures on Fourier integrals, Princeton Univ. Press, 1959 (translated from the German).
Zygmund, A.:Trigonometric series, 2, Cambridge Univ. Press, 1988.
Gnedenko, B.V.:The theory of probability, Chelsea, reprint, 1962 (translated from the Russian).
Titchmarsh, E.C.:Introduction to the theory of Fourier integrals, Oxford Univ. Press, 1948.
Zygmund, A.:Trigonometric series, 2, Cambridge Univ. Press, 1988.
Stein, E.M. and Weiss, G.:Fourier analysis on Euclidean spaces, Princeton Univ. Press, 1971.
Rudin, W.:Functional analysis, McGraw-Hill, 1973.
Cooley, J. and Tukey, J.: ‘An algorithm for the machine calculation of complex Fourier series’,Math. Comp.19 (1965), 297–301.
Runge, C.Z.:Math. Phys.48 (1903), 443.
Froberg, C.E.:Introduction to numerical analysis, Benjamin/Cummings, 1985.
Brigham, E.D.:The fast Fourier transform, Prentice-Hall, 1974.
Ramirez, R.W.:The FFT fundamentals and concepts, Prentice-Hall, 1985.
Elliot, D.F. and Rao, K.R.:Fast transforms: algorithms, analysis, applications, Acad. Press, 1982.
Vladimirov, V.S.:Generalized functions in mathematical physics, Mir, 1979 (translated from the Russian).
Gel’fand, I.M. and Shilov, G.E.:Generalized functions, 1, Acad. Press, 1964 (translated from the Russian).
Schwartz, L.:Theorie des distributions, 2, Hermann, 1951.
Antosik, P., Mikusinski, J. and Sikorski, R.:Theory of distributions: the sequential approach, Elsevier, 1973.
Hormander, L.:The analysis of linear partial differential operators, 1, Springer, 1983.
Yosida, K.:Functional analysis, Springer, 1980.
Jones, D.S.:The theory of generalized functions, Cambridge Univ. Press, 1982.
Mandelbrot, B.B.:Form, chance and dimension, Freeman, 1977.
Mandelbrot, B.B.:The fractal geometry of nature, Freeman, 1983.
Falconer, K.J.:The geometry of fractal sets, Cambridge Univ. Press, 1985.
Peitgen, H.-O. and Richter, P.H.:The beauty of fractals, Springer, 1986.
Mandelbrot, B.B.:Fractals and multlfractals. Noise, turbulence and galaxies, Springer, 1988.
Pietronero, L., Evertsz, C. and Siebesma, A.P.: ‘Fractal and multifractal structures in kinetic critical phenomena’, in S. Albeverio, Ph. Blanchard, M. Hazewinkel and L. Streit (eds.):Stochastic processes in physics and engineering, Reidel, 1988, pp. 253–278.
Pietronero, L. and Tosatti, E. (Eds.):Fractals in physics, North-Holland, 1986.
Hewitt, E. and Stromberg, K.:Real and abstract analysis, Springer, 1965.
Rudin, W.:Principles of mathematical analysis, McGraw-Hill, 1953.
Zariski, O. and Samuel, P.:Commutative algebra, 1, Springer, 1975.
Bourbaki, N.:Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Hardy, G.H., Littlewood, J.E. and Pólya, G.:Inequalities, Cambridge Univ. Press, 1934.
Zygmund, A.:Trigonometric series, 1, Cambridge Univ. Press, 1979.
Hille, E. and Phillips, R.:Functional analysis and semi-groups, Amer. Math. Soc., 1957.
Dzhrbashyan, M.M.:Integral transforms and representation of functions in a complex domain, Moscow, 1966 (in Russian).
Priwalow, I.I. [I.I. Privalov]:Einfuhrung in die Funktionentheorie, 1–3, Teubner, 1958–1959 (translated from the Russian).
Shabat, B.V.:Introduction to complex analysis, 1–2, Moscow, 1976 (in Russian).
Stoilow, S.:The theory of functions of a complex variable, 1, Moscow, 1962. (in Russian; translated from the Roumanian).
Ford, L.R.: Automorphic functions, Chelsea, reprint, 1951.
Rudin, W.:Function theory in the unit ball of CN, Springer, 1980.
Nehari, Z.:Conformal mapping, Dover, reprint, 1975.
Schwerdtfeger, H.:Geometry of complex numbers, Dover, reprint, 1979.
Markushevich, A.I.:Theory of functions of a complex variable, 1, Chelsea, 1977 (translated from the Russian).
Krein, S.G. (Ed.):Functional analysis, Wolters-Noordhoff, 1972 (translated from the Russian).
Krein, S.G.:Linear differential equations in a Banach space, Amer. Math. Soc., 1971 (translated from the Russian).
Seeley, R.T.: ‘Complex powers of elliptic operators’, inProc. Symp. Pure Math., Vol. 10, Amer. Math. Soc., 1967, pp. 288- 307.
Hille, E. and Phillips, R.:Functional analysis and semi-groups, Amer. Math. Soc., 1957.
Yanenko, N.N.:The method of fractional steps: solution of problems of mathematical physics in several variables, Springer, 1971 (translated from the Russian).
Samarskii, A.A.:Introduction to the theory of finite-difference schemes, Moscow, 1971 (in Russian).
Gourlay, A.R.: ‘Splitting methods for time-dependent partial differential equations’, inThe state-of-the-art in numerical analysis. Proc. Conf. Univ. York,1976, Acad. Press, 1977, pp. 757–796.
Twizell, E.H.:Computational methods for partial differential equations, E. Horwood, 1984.
Lambek, J.:Lectures on rings and modules, Blaisdell, 1966.
Elizarov, V.P.: ‘Quotient rings’,Algebra and Logic 8, no$14 (1969), 219–243. (Algebra i Logika 8, no. 4 (1969), 381–424 )
Stenstrom, B.:Rings of quotients, Springer, 1975.
Cherepanov, G.P.:Mechanics of brittle fracture, McGraw-Hill, 1979 (translated from the Russian).
Fabrikant, V.I.:Applications of potential theory in mechanics, Kluwer, 1989.
Muskhelishvili, N.I.:Some basic problems of the mathematical theory of elasticity, Noordhoff, 1953 (translated from the Russian).
Kassir, M.K. and Sih, G.:Three-dimensional crack problems, Noordhoff, 1975.
Panasyuk, V.V., Stadnik, M.M. and Silovanyuk, V.P.:Stress concentration in three-dimensional bodies with thin inclusions, Kiev, 1986 (in Russian).
Sih, G.C. and Liebowitz, H.:Mathematical theories of brittle fracture, 2. Fracture, Acad. Press, 1968.
Sneddon, I.N. and Lowengrub, M.:Crack problems in the classical theory of elasticity, Wiley, 1969.
Steenrod, N.:The topology of fibre bundles, Princeton Univ. Press, 1951.
Franklin, P.: ‘A set of continuous orthogonal functions’,Math. Ann.100 (1928), 522–529.
Kaczmarz, S. and Steinhaus, H.:Theorie der Orthogonalreihen, Chelsea, reprint, 1951.
Ciesielski, Z.: ‘Properties of the orthogonal Franklin system’,Studio Math.23, no. 2 (1963), 141–157.
Ciesielski, Z.: ‘A construction of a basis in C(1)(I2)’,Studia Math.33, no. 2 (1969), 243–247.
Bochkarev, S.V.: ‘Existence of a basis in the space of functions analytic in the disk, and some properties of Franklin’s system’,Math. USSR-Sb.24, no$11 (1974), 1–16. (Mat. Sb.95, no. 1 (1974), 3–18 )
Banach, S.S.:Theorie des operations lineaires, Chelsea, reprint, 1955
Berezin, I.S. and Zhidkov, N.P.:Computing methods, 1, Pergamon, 1973 (translated from the Russian).
Korn, G.A. and Korn, T.M.:Mathematical handbook for scientists and engineers, McGraw-Hill, 1968.
Steffensen, J.F.:Interpolation, Chelsea, reprint, 1950.
Frattini, G.: ‘Intorno alia generazione dei gruppi di operazioni’, Atti Accad Lincei, Rend (IV)1 (1885), 281–285.
Kurosh, A.G.:The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian).
Berger, M.S.:Nonlinearity and functional analysis, Acad. Press, 1977.
Dugac, P.:Elements d’analyse de Karl Weierstrass, Paris, 1972.
Stolz, O.:Grundziige der Differential- und Integralrechnung, 1, Teubner, 1893.
Young, W.:The fundamental theorems of the differential calculus, Cambridge Univ. Press, 1910.
Frechet, M.: ‘Sur la notion de differentielle’,C.R. Acad. Sci. Paris 152 (1911), 845–847; 1050–1051.
Frechet, M.: ‘Sur la notion de differentielle totale’,Nouvelles Ann. Math. Ser.4 12 (1912), 385–403; 433–449.
Kolmogorov, A.N. and Fomin, S.V.:Elements of the theory offunctions and functional analysis, Graylock, 1957-1961 (translated from the Russian).
Alekseev, V.M., Tikhomirov, V.M. and Fomin, S.V.:Optimal control, Consultants bureau, 1987 (translated from the Russian).
Bourbaki, N.:Topological vector spaces, Springer, 1987 (translated from the French).
Robertson, A. and Robertson, W.:Topological vector spaces, Cambridge Univ. Press, 1973.
Schaefer, H.H.:Topological vector spaces, Macmillan, 1966.
Kelley, J.L. and Namioka, I.:Linear topological spaces, Springer, 1963.
Kothe, G.:Topological vector spaces, I, Springer,
Frechet, M.:Ann. Soc. Polon. Math.3 (1924), 4–19.
Frechet, M.: ‘Sur quelques points du calcul fonctionnel’,Rend. Circolo Mat. Palermo 74 (1906), 1–74.
Frechet, M.: ‘Sur les fonctionelles bilineaires’,Trans. Amer. Math. Soc.16, no. 3 (1915), 215–234.
Morse, M. and Transue, W.: ‘The Frechet variation and the convergence of multiple Fourier series’,Proc. Nat. Acad. Sci. USA 35, no. 7 (1949), 395–399.
Smirnov, V.I.:A course of higher mathematics, 4, Addison-Wesley, 1964, Chapt. 1 (translated from the Russian).
Wladimirow, W.S. [V.S. Vladimirov] and Vladimirov, V.S.:Equations of mathematical physics, Mir, 1984 (translated from the Russian).
Kantorovich, L.V. and Akilov, G.P.:Functional analysis in normed spaces, Pergamon, 1964 (translated from the Russian).
Gohberg, I. [I. Gokhberg] and Goldberg, S.:Basic operator theory, Birkhauser, 1977.
Taylor, A.E. and Lay, D.C.:Introduction to functional analysis, Wiley, 1980.
Smirnov, V.I.:A course of higher mathematics, 4, Addison-Wesley, 1964, Chapt. 1 (translated from the Russian).
Goursat, E.:Cours d’analyse mathematique, 3, Gauthier-Villars, 1923, p. Chapt. 2.
Petrovskii, I.G.:Lectures on the theory of integral equations, Graylock, 1957 (translated from the Russian).
Lovitt, W.V.:Linear integral equations, Dover, reprint, 1950.
Mikhlin, S.G.:Linear integral equations, Hindushtan Publ. Comp., Delhi, 1960 (translated from the Russian).
Kantorovich, L.V. and Krylov, V.I.:Approximate methods of higher analysis, Noordhoff, 1958 (translated from the Rus-sian).
Mikhlin, S.G.:Dokl. Akad. Nauk SSSR 42, no. 9 (1944), 387–390.
Riesz, F.: ‘Ueber lineare Funktionalgleichungen’,Acta Math.41 (1918), 71–98.
Carleman, T.: ‘Zur Theorie der linearen Integralgleichungen’,Math. Z.9 (1921), 196–217.
Schauder, J.:Studia Math.2 (1930), 183–196.
Smithies, F.: ‘The Fredholm theory of integral equations’,Duke Math. J.8 (1941), 107–130.
Hochstadt, H.:Integral equations, Wiley, 1973.
Jorgens, K.:Lineare Integraloperatoren, Teubner, 1970.
Nashed, M.Z.:Generalized inverses and applications, Acad. Press, 1976.
Suzuki, N.: ‘On the convergence of Neumann series in Banach space’,Math. Ann.220 (1976), 143–146.
Widom, H.:Lectures on integral equations, American Book Company, 1969.
Gohberg, I. and Goldberg, S.:Basic operator theory, Birkhauser, 1981.
Zabretko, P.P., et al.:Integral equations—a reference text, Noordhoff, 1958 (translated from the Russian).
Anselone, P.M.:Collectively compact operator approximation theory and applications to integral equations, Prentice-Hall, 1971.
Atkinson, K.E.:A survey of numerical methods for the solution of Fredholm integral equations of the second kind, SIAM, 1976.
Baker, C.T.H.:The numerical treatment of integral equations, Clarendon Press, 1977.
Delves, L.M. and Mohamed, J.L.:Computational methods for integral equations, Cambridge Univ. Press, 1985.
Nashed, M.Z.: Generalized inverses and applications, Acad. Press, 1976.
Engl, H.W. and Groetsch, C.W. (Eds.):Inverse and ill-posed problems, Acad. Press, 1987.
Groetsch, C.W.:The theory of Tikhonov regularization for Fredholm equations of the first kind, Pitman, 1984.
Natterer, F.: ‘The finite element method for ill-posed problems’,RAIRO Anal. Numer.11 (1977), 271–278.
Kantorovich, L.V. and Krylov, V.I.:Approximate methods of higher analysis, Noordhoff, 1958 (translated from the Russian).
Gohberg, I.C. [I.C. Gokhberg] and Feld’man, I.A.:Convolution equations and projection methods for their solution, Amer. Math. Soc., 1974 (translated from the Russian).
Zabretko, P.P., et al.:Integral equations—a reference text, Noordhoff, 1975 (translated from the Russian).
Smirnov, V.I.:A course of higher mathematics, 4, Addison-Wesley, 1964, Chapt. 1 (translated from the Russian).
Grothendieck, A.: ‘La theorie de Fredholm’,Bull. Amer. Math. Soc.84 (1956), 319–384.
Grothendieck, A.: ‘Produits tensoriels topologiques et espaces nucleases’,Mem Amer. Math. Soc.5 (1955).
Krein, M.G.:Linear equations in a Banach space, Birkhauser, 1982 (translated from the Russian).
Booss, B.:Topologie und Analysis, Einfuhrung in die Atiyah—Singer Indexformel, Springer, 1977.
Conway, J.B.:A course in functional analysis, Springer, 1985.
Gohberg, I.C. [I.C. Gokhberg] and Krein, M.G.: ‘The basic propositions on defect numbers, root numbers and indices of linear operators’,Transl. Amer. Math. Soc. (2) 13 (1960), 185–264. (Uspekhi Mat. Nauk 12, no. 2 (74) (1957), 43–118 )
Goldberg, S.:Unbounded linear operators, McGraw-Hill, 1966.
Kato, T.:Perturbation theory for linear operators, Springer, 1976.
Fredholm, E.I.: ‘Sur une classe d’equations fonctionnelles’,Acta Math.27 (1903), 365–390.
Gohberg, I. and Goldberg, S.:Basic operator theory, Birkauser, 1981.
Jorgens, K.:Lineare Integraloperatoren, Teubner, 1970.
Smirnov, V.I.:A course of higher mathematics, 4, Addison-Wesley, 1964 (translated from the Russian).
Zabretko, P.P., Koshelev, A.I., Krasnoselskit, M.A., Mikhlin, S.G., Rakovshchik, L.S., Stet’senko, V.Ya., Shaposhnikova, T.O. and Anderssen, R.S. (Eds.):Integral equations—a reference text, Noordhoff, 1975.
Kurosh, A.G.:The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian).
Kargapolov, M.I. and Merzlyakov, Yu.I.:Fundamentals of the theory of groups, Springer, 1979 (translated from the RusSian).
Fuchs, L.:Infinite abelian groups, 1, Acad. Press, 1970.
Mal’tsev, A.I.:Algebraic systems, Springer, 1973 (translated from the Russian).
Jónsson, B. and Tarski, A.: ‘On two properties of free algebras’,Math. Scand.9 (1961), 95–101.
Swierczkowski, S.: ‘On isomorphic free algebras’,Fund. Math.50, no. 1 (1961), 35–44.
Gratzer, G.: ‘On the existence of free structures over universal classes’,Math. Nachr.36, no. 3–4 (1968), 135–140.
Cohn, P.M.:Universal algebra, Reidel, 1981.
Cohn, P.M.:Free rings and their relations, Acad. Press, 1971.
Sikorski, R.:Boolean algebras, Springer, 1969.
Vladimirov, D.A.:Boolesche Algebren, Akademie Verlag, 1978 (translated from the Russian).
Halmos, P.R.:Lectures on Boolean algebras, v. Nostrand, 1963.
Birkhoff, G.:Lattice theory, Colloq. Publ., 25, Amer. Math. Soc., 1973.
Kislyakov, S.V.: ‘Free subalgebras of complete Boolean algebras, and spaces of continuous functions’,Siberian Math. J.14 (1973), 395–403. (Sibirsk. Mat. Zh.14, no. 3 (1973), 569–581 )
Kurosh, A.G.:The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian).
Magnus, W., Karras, A. and Solitar, D.:Combinatorial group theory: presentations of groups in terms of generators and relations, Interscience, 1966.
Neumann, H.:Varieties of groups, Springer, 1967.
Andronov, A.A., Vitt, A.A. and Khaikin, S.E.:Theory of oscillators, Dover, reprint, 1987 (translated from the Russian).
Gorelik, G.S.:Oscillations and waves, Moscow-Leningrad, 1950 (in Russian).
Landau, L.D. and Lifshits, E.M.:Mechanics, Pergamon, 1965 (translated from the Russian).
Cohn, P.M.:Free rings and their relations, Acad. Press, 1971.
Whitman, P.M.: ‘Tree lattices’,Ann. of Math.42 (1941), 325–330.
Whitman, P.M.: ‘Tree lattices, II’,Ann. of Math.43 (1942), 104–115.
Dedekind, R.: ‘Ueber die von drei Moduln erzeugte Dualgruppe’,Math. Ann.53 (1900), 371–403.
Hales, A.W.: ‘On the non-existence of free complete algebras’,Fund. Math.54 (1964), 45–66.
Cohn, P.M.:Free rings and their relations, Acad. Press, 1971.
Maclane, S.:Homology, Springer, 1963.
Linton, F.E.J.: ‘Coequalizors in categories of algebras’, inSeminar on Triples and Categorical Homology Theory, Lecture Notes in Math., Vol. 80, Springer, 1969, pp. 75–90.
Linton, F.E.J.: ‘Coequalizors in categories of algebras’, inSeminar on Triples and Categorical Homology Theory, Lecture Notes in Math., Vol. 80, Springer, 1969, pp. 75–90.
Kurosh, A.G.:The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian).
Magnus, W., Karras, A. and Solitar, D.:Combinatorial group theory: presentations of groups in terms of generators and relations, Interscience, 1966.
Clifford, A.H. and Preston, G.B.:The algebraic theory of semigroups, 1–2, Amer. Math. Soc., 1961–1967.
Lyapin, E.S.:Semigroups, Amer. Math. Soc., 1974 (translated from the Russian).
Gross, M. and Lentin, A.:Introduction to formal grammars, Springer, 1970 (translated from the French).
Markov, A.A.:Introduction to coding theory, Moscow, 1982 (in Russian).
Eilenberg, S.:Automata, languages and machines, A–B, Acad. Press, 1974–1976.
Lallement, G.:Semi-groups and combinatorial applications, Wiley, 1979.
Lentin, A.:Equations dans les monoids libres, Mouton, 1972.
Khmelevskii, Yu.I.: ‘Equations in free semi-groups’,Proc. Steklov Inst. Math.107 (1976). (Trudy Mat. Inst. Steklov.107 (1971))
Makanin, G.S.: ‘The problem of solvability of equations in a free semigroup’,Math. USSR-Sb.32, no$12 (1977), 129–198. (Mat. Sb.103, no. 2 (1977), 147–236 ).
Kleene, S.C.:Introduction to metamathematics, North-Holland, 1951.
Hsiung, C.C.:A first course in differential geometry, Wiley, 1981.
Hsiung, C.C.:A first course in differential geometry, Wiley, 1981.
Lur’e, A.I.:Some non-linear problems of the theory of automatic control, Moscow-Leningrad, 1951 (in Russian).
Popov, V.M.:Hyperstability of control systems, Springer, 1973 (translated from the Rumanian).
Yakubovich, V.A.: ‘A frequency theorem in control theory’,Sib. Math. J.14, no$12 (1973), 265–289. (Sibirsk. Mat. Zh.14, no. 2 (1973), 384–420 )
Gelig, A.K., Leonov, G.A. and Yakubovich, V.A.:Stability of non-linear systems with a unique equilibrium state, Moscow, 1978 (in Russian).
Methods for studing non-linear systems of automatic control, Moscow, 1975 (in Russian).
Siljak, D.D.:Nonlinear systems, Wiley, 1969.
Fomin, V.N., Fradkov, A.L. and Yakubovich, V.A.:Adaptive control of dynamic objects, Moscow, 1981 (in Russian).
Willems, J.C.: ‘Almost invariant subspaces: an approach to high gain feedback design I. Almost controlled invariant subspaces’,IEEE Trans. Autom Control 1 (1981), 235–252.
Willems, J.C.: ‘Almost invariant subspaces: an approach to high gain feedback design I. Almost conditionally invariant subspaces’,IEEE Trans. Autom Control 5 (1982), 1071–1084.
Coppel, W.: ‘Matrix quadratic equations’,Bull. Austr. Math. Soc.10 (1974), 377–401.
Kalman, R.E.: ‘Lyapunov functions for the problem of Lurie in automatic control’,Proc. Nat. Acad. Soc. USA 49, no. 2 (1963), 201–205.
Anderson, B.D.O. and Vongpanitlerd, S.:Network analysis and synthesis: a modern systems theory approach, Prentice-Hall, 1973.
Bateman, H. and Erdslyi, A.:Higher transcendental functions. Bessel functions, 2, McGraw-Hill, 1953.
Jahnke, E. and Emde, F.:Tables of functions with formulae and curves, Dover, reprint, 1945 (translated from the German).
Segun, A. and Abramowitz, M.:Handbook of mathematical functions, Appl. Math. Ser., 55, Nat. Bur. Stand., 1970.
Spanier, J. and Oldham, K.B.:An atlas of functions, Hemisphere amp; Springer, 1987, Chapt. 39.
Lebedev, N.N.:Special functions and their applications, Dover, reprint, 1972, pp. 21–33 (translated from the Russian).
Freudenthal, H.: ‘Neuaufbau der Endentheorie’,Ann. of Math.43, no. 2 (1942), 261–279.
Freudenthal, H.: ‘Kompaktisierungen und Bikompaktisierungen’,Indag. Math.13 (1951), 184–192.
Sklyarenko, E.G.: ‘Bicompact extensions of semibicompact spaces’,Dokl. Akad. Nauk SSSR 120, no. 6 (1958), 1200–1203 (in Russian).
Sklyarenko, E.G.: ‘Some questions in the theory of bicompactifications’,Izv. Akad Nauk SSSR Ser. Mat.26, no. 3 (1962), 427–452 (in Russian).
Sklyarenko, E.G.: ‘Bicompactifications with punctiform boundary and their cohomology groups’,Izv. Akad Nauk SSSR Ser. Mat.27, no. 5 (1963), 1165–1180 (in Russian).
Friedrichs, K.O.: ‘Eine invariante Formulierung des Newtonschen Gravititationsgesetzes und des Grenziiberganges vom Einsteinschen zum Newtonschen Gesetz’,Math. Ann.98 (1927), 566–575.
Sobolev, S.L.:Applications of functional analysis in mathematical physics, Amer. Math. Soc., 1963 (translated from the Russian).
Nikol’skii, S.M. and Lizorkin, P.I.: ‘On some inequalities for weight-class functions and boundary-value problems with a strong degeneracy at the boundary’,Soviet Math. Dokl.5 (1964), 1535–1539. (Dokl. Akad Nauk SSSR 159, no. 3 (1964), 512–515 )
Nikol’skii, S.M.:Approximation of functions of several variables and imbedding theorems, Springer, 1975 (translated from the Russian).
Kalinichenko, D.F.: ‘Some properties of functions in the spacesWpm andW p,α1m,…,α3’,Mat. Sb.64, no. 3 (1964), 436–457 (in Russian).
Courant, R. and Hilbert, D.:Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Nirenberg, L.: ‘On elliptic partial differential equations’,Ann. Scuola Norm. Sup. Pisa Ser.3 13, no. 2 (1959), 115–162.
Sandgren, L.: ‘A vibration problem’,Medd Lunds Univ. Mat. Sem.13 (1955), 1–84.
Curtis, C.W. and Reiner, I.:Representation theory of finite groups and associative algebras, Interscience, 1962.
Faith, C.:Algebra: rings, modules and categories, 1–2, Springer, 1973–1976.
Frobenius, G.: ‘Theorie der hyperkomplexen Grossen’,Sitzungsber. Konigl. Preuss. Akad. Wiss., no. 24 (1903), 504–537; 634–645.
Weil, A.:Basic number theory, Springer, 1974.
Hartshorne, R.:Algebraic geometry, Springer, 1977.
Gabriel, P.: ‘Etude infinitesimal des schemas en groupes’, in M. Demazure and A. Grothendieck (eds.):SGA 3. Exp. VII, Lecture notes in math., Vol. 151, Springer, 1970.
Murnaghan, F.D.:The theory of group representations, J. Hopkins, Baltimore, 1938.
Boerner, H.:Representations of groups, North-Holland, 1970 (translated from the German).
Littlewood, D.E.:The theory of group characters, Oxford Univ. Press, 1950.
Macdonald, I.G.:Symmetric functions and Hall polynomials, Clarendon Press, 1979.
Wybourne, B.G.:Symmetry principles and atomic spectroscopy, Wiley (Interscience), 1970.
Frobenius, G.: ‘Ueber lineare Substitutional and bilineare Formen’,J. Reine Angew. Math.84 (1878), 1–63.
Kurosh, A.G.:Lectures on general algebra, Chelsea, 1963 (translated from the Russian).
Kervaire, M.: ‘Non-parallelizability of then-sphere forngt;7’,Proc. Nat. Acad. Sc. USA 44 (1958), 280–283.
Milnor, J.W.: ‘Some consequences of a theorem of Bott’,Ann. of Math.68 (1958), 444–449.
Curtis, C.W. and Reiner, I.:Representation theory of finite groups and associative algebras, Interscience, 1962.
Frobenius, G.: ‘Ueber das Pfaffsche Problem’,J. Reine Angew. Math.82 (1877), 230–315.
Hartman, P.:Ordinary differential equations, Birkhauser, 1982.
Frommer, M.: ‘Die Integralkurven einer gewohnlichen Differentialgleichung erster Ordnung in der Umgebung rationaler Unbestimmtheitsstellen’,Math. Ann.99 (1928), 222–272.
Andreev, A.F.:Singular points of differential equations, Minsk, 1979 (in Russian).
Hartman, P.:Ordinary differential equations, Birkhauser, 1982, pp. 220–227.
Sedov, L.I.:Similarity and dimensional methods in mechanics, Infosearch, 1959.
Birkhoff, G.:Hydrodynamics, Princeton Univ. Press, 1960.
Cowling, T.G.:Magneto-hydrodynamics, Interscience, 1957.
Landau, L.D. and Lifshitz, E.M.:Electrodynamics of continous media, Pergamon, 1960 (translated from the Russian).
Kulikovskii, A.G. and Lyubimov, G.A.:Magnetic hydro-dynamics, Moscow, 1962 (in Russian).
Fubini, G. and Cech, E.:Geometria proettiva differenziale, 1–2, Bologna, 1926–1927.
Kagan, V.F.:Foundations of the theory of surfaces in a tensor setting, 2, Moscow-Leningrad, 1948 (in Russian).
Shirokov, P. A. and Shirokov, A.P.:Differentialgeometrie, Teubner, 1962 (translated from the Russian).
Fubini, G.:Ann. Scuola Norm. Sup. Pisa 9 (1904), 1–74.
Rozenfel’d, B.A.:Non-Euclidean spaces, Moscow, 1969 (in Russian).
Berger, M.:Geometry, 2, Springer, 1987, Sect. 8. 9.
Fubini, G.: ‘Sulle metriche definite da una forme Hermitiana’,Atti Istit. Veneto 63 (1904), 502–513.
Study, E.: ‘Kurzeste Wege im komplexen Gebiet’,Math. Ann.60 (1905), 321–378.
Cartan, E.:Legons sur la geometrie projective complexe, Gauthier-Villars, 1950.
Helgason, S.:Differential geometry and symmetric spaces, Acad. Press, 1962.
Chern, S.S.:Complex manifolds, Univ. Recife, 1959.
Helgason, S.:Differential geometry, Lie groups, and symmetric spaces, Acad. Press, 1978.
Wells, Jr., R.O.:Differential analysis on complex manifolds, Springer, 1980.
Chirka, E.M.:Complex analytic sets, Kluwer, 1989 (translated from the Russian).
Fubini, G.: ‘Sugli integrali multipli’, inOpere scelte, Vol. 2, Cremonese, 1958, pp. 243–249.
Fuchs, J.L.: ‘Zur Theorie der linearen Differentialgleichungen mit Veranderlichen Koeffizienten’,J. Reine Angew. Math.66 (1866), 121–160.
Fuchs, J.L.: ‘Zur Theorie der linearen Differentialgleichungen mit Veranderlichen Koeffizienten. Erganzung’,J. Reine Angew. Math.68 (1868), 354–385.
Poincaré, H.:Papers on Fuchsian functions, Springer, 1985 (translated from the French).
Lappo-Danilevskiĭ, I.A.:Applications des fonctions matrices dans la theorie des systeme des equations differentielles ordinaires lineaires, Moscow, 1957 (in Russian; translated from the French).
Coddington, E.A. and Levinson, N.:Theory of ordinary differential equations, McGraw-Hill, 1955.
Golubev, V.V.:Vorlesungen iiber Differentialgleichungen im Komplexen, Deutsch. Verlag Wissenschaft., 1958 (translated from the Russian).
Smirnov, V.I.:A course of higher mathematics, 3, Addison-Wesley, 1964, Part 2 (translated from the Russian).
Ince, E.L.:Ordinary differential equations, Dover, reprint, 1956.
Hille, E.:Ordinary differential equations in the complex domain, Wiley, 1976.
Lappo-Danilevskit, I.A.:Memoire sur la theorie des systemes des equations differentiates lineaires, Dover, reprint, 1953.
Plemelj, J.:Problems in the sense of Riemann and Klein, Wiley, 1964.
Birkhoff, G.D.: ‘Singular points of ordinary linear differential equations’,Trans. Amer. Math. Soc.10 (1909), 434–470.
Birkhoff, G.D.: ‘A simplified treatment of the regular singular point’,Trans. Amer. Math. Soc.11 (1910), 199–202.
Chudnovsky, D.V.: ‘Riemann, monodromy problem, isomonodromy deformations and completely integrable systems’, in C. Bardos and D. Bessis (eds.):Bifurcation phenomena in mathematical physics and related topics, Reidel, 1980, pp. 385–447.
Jimbo, M., Miwa, T. and Sato, M.: ‘Holonomic quantum fields—the unanticipated link between deformation theory of differential equations and quantum fields’, in K. Osterwalder (ed.):Mathematical problems in theoretical physics, Springer, 1980, pp. 119–142.
Fuchs, L.: ‘Ueber eine Klasse von Funktionen mehrerer Variables welche durch Umkehrung der Integrate von Losungen der linearen Differentialgleicliungen mit rationalen Coeffizienten entstehen’,J. Reine Angew. Math.89 (1880), 151–169.
Poincaré, H.: ‘Theorie des groupes Fuchsiennes’,Acta. Math.1 (1882), 1–62.
Fricke, R. and Klein, F.:Vorlesungen iiber die Theorie der automorphen Funktionen, 1–2, Teubner, 1897–1912.
Ahlfors, L.: ‘The complex analytic structure of the space of closed Riemann surfaces’, inAnalytic functions, Princeton Univ. Press, 1960, pp. 45–66.
Bers, L.: ‘Quasiconformal mapings and Teichmüller’s theorem’, inAnalytic functions, Princeton Univ. Press, 1960, pp. 89–120.
Krushkal’, S.L., Apanasov, B.N. and Gusevskiĭ, N.A.:Kleinian groups and uniformization in examples and problems, Amer. Math. Soc., 1986 (translated from the Russian).
Natanson, S.M.: ‘Invariant lines of Fuchsian groups’,Russian Math. Surveys 27 (1972), 161–177. (Uspekhi Mat. Nauk 27, no. 4 (1972), 145–160 )
Vinberg, E.B. and Svartsman, O.V.: ‘Riemann surfaces’,J. Soviet Math.14 (1980), 985–1020. (Itogi Nauk. i Tekhn. Algebra Topol. Geom 16 (1978), 191–245 )
Lehner, J.:Discontinuous groups and automorphic functions, Amer. Math. Soc., 1964.
Magnus, W.:Non Euclidean tesselations and their groups, Acad. Press, 1974.
Singerman, D.: ‘Finitely maximal Fuchsian groups’,J. London Math. Soc.6, no. 1 (1972), 29–38.
Ford, L.R.:Automorphic functions, Chelsea, reprint, 1951.
Ahlfors, L.V. and Sario, L.:Riemann surfaces, Princeton Univ. Press, 1974.
Farkas, H.M. and Kra, I.:Riemann surfaces, Springer, 1980.
Beardon, A.F.:The geometry of discrete groups, Springer, 1983.
Maskit, B.:Kleinian groups, Springer, 1988.
Mitchell, B.:Theory of categories, Acad. Press, 1965.
Mal’tsev, A.I.:Algebraic systems, Springer, 1973 (translated from the Russian).
Cohn, P.M.:Universal algebra, Reidel, 1981.
Magnus, W., Karras, A. and Solitar, D.: Combinatorial group theory: presentations of groups in terms of generators and relations, Interscience, 1966.
Euler, L.:Einleitung in die Analysis des Unendlichen, 1, Springer, 1983 (translated from the Latin).
Lobachevskiĭ, N.I.:Complete works, 5, Moscow-Leningrad, 1951 (in Russian).
Dedekind, R.:The nature and meaning of numbers, The Open Court Publ. Comp., 1901 (translated from the German).
Hausdorff, F.:Grundzuge der Mengenlehre, Leipzig, 1914. Reprinted (incomplete) English translation: Set theory, Chelsea (1978).
Tarski, A.:Introduction to logic and to the methodology of deductive sciences, Oxford Univ. Press, 1946 (translated from the German).
Kuratowski, K.:Topology, 1, Acad. Press, 1966 (translated from the French).
Frege, G.:Funktion und Begriff, H. Pohle, 1891. (Reprint: Kleine Schriften, G. Olms, 1967 ).
Church, A.:Introduction to mathematical logic, 1, Princeton Univ. Press, 1956.
Yushkevich, A.P.: ‘The concept of function up to the middle of the nineteenth century’,Arch. History of Exact Sci.16 (1977), 37–85. (Istor.-Mat. Issled.17 (1966), 123–150 )
Medvedev, F.A.:Outlines of the history of the theory of functions of a real variable, Moscow, 1975 (in Russian).
Maclane, S.:Mathematics: form and function, Springer, 1986.
Royden, H.L.:Real analysis, Macmillan, 1963.
Rooy, A.C.M. Van and Schikhof, W.H.:A second course on real functions, Cambridge Univ. Press, 1982.
Gelbaum, B.R. and Olmsted, J.M.H.:Counterexamples in analysis, Holden-Day, 1964.
Nevanlinna, R.:Analytic functions, Springer, 1970 (translated from the German).
Markushevich, A.I.:Theory of functions of a complex variable, 2, Chelsea, 1977 (translated from the Russian).
Priwalow, I.I. [I.I. Privalov]:Randeigenschaften analytischer Fimktionen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Itogi Nauk. Mat. Anal. 1963 (1965), 5–80.
Rudin, W.:Function theory in poly discs, Benjamin, 1969.
Jordan, C.: ‘Sur la serie de Fourier’,C.R. Acad. Sci. Paris 92 (1881), 228–230.
Natanson, I.P.:Theorie der Funktionen einer reellen Veranderlichen, H. Deutsch, Frankfurt a.M., 1961 (translated from the Russian).
Vladimirov, V.S.:Generalized functions in mathematical physics, Moscow, 1979 (in Russian).
Sobolev, S.L.:Applications of functional analysis in mathematical physics, Amer. Math. Soc., 1963 (translated from the Russian).
Schwartz, L.:Theorie des distributions, 1–2, Herman, 1950–1951.
Lions, J.L. and Magenes, E.:Non-homogenous boundary value problems and applications, 1–2, Springer, 1972 (translated from the French).
Yosida, K.:Functional analysis, Springer, 1980.
Levin, B.Ya.:Distributions of zeros of entire functions, Amer. Math. Soc., 1964 (translated from the Russian).
Boas, R.P.:Entire functions, Acad. Press, 1954.
Kolmogorov, A.N. and Fomin, S.V.:Elements of the theory of functions and functional analysis, Graylock, 1957–1961 (translated from the Russian).
Ahiezer, N.I. [N.I. Akhiezer] and Glazman, I.M.:Theory of linear operators in Hilbert space, 1–2, Pitman, 1984 (translated from the Russian).
Banach, S.S.:A course of functional analysis, Kiev, 1948 (in Ukrainian).
Berezanskiy, Yu.M. [Yu.M. Berezanskiĭ]:Expansion in eigenfunctions of self adjoint operators, Amer. Math. Soc., 1968 (translated from the Russian).
Bourbaki, N.:Elements of mathematics. Topological vector spaces, Springer, 1987 (translated from the French).
Vulikh, B.Z.:Introduction to the theory of partially ordered spaces, Wolters-Noordhoff, 1967 (translated from the Russian).
Gel’fand, I.M. and Shilov, G.E.:Generalized functions, Acad. Press, 1964 (translated from the Russian).
Gelfand, I.M. [I.M. Gel’fand], Raikov, D.A. [D.A. Raikov] and Schilow, G.E. [G.E. Shilov]:Kommutative Normierte Ringe, Deutsch. Verlag Wissenschaft., 1964 (translated from the Russian).
Dunford, N. and Schwartz, J.T.:Linear operators, 1–3, Interscience, 1958–1971.
Yosida, K.:Functional analysis, Springer, 1980.
Kantorovich, L.V.: ‘Functional analysis and applied mathematics’,Uspekhi Mat. Nauk 3, no. 6 (1948), 89–185 (in Russian).
Kantorovich, L.V. and Akilov, G.P.:Funktionalanalysis in normierten Raume, Akad. Verlag, 1964 (translated from the Russian).
Kirillov, A.A.:Elements of the theory of representations, Springer, 1976 (translated from the Russian).
Kolmogorov, A.N. and Fomin, S.V.:Elements of the theory of functions and functional analysis, Graylock, 1957–1961 (translated from the Russian).
Krasnosel’skiĭ, M.A.:Topological metods in the theory of non-linear integral equations, Pergamon, 1964 (translated from the Russian).
Ljusternik, L.A. [L.A. Lyusternik] and Sobolew, W.I. [V.I. Sobolev]:Elemente der Funktionalanalysis, H. Deutsch, Frankfurt a. M, 1979.
Naimark, M.A.:Linear differential operators, 1–2, F. Ungar, 1967–1968 (translated from the Russian).
Naimark, M.A.:Normed rings, Reidel, 1984 (translated from the Russian).
Reed, M. and Simon, B.:Methods of modern mathematical physics, 1–4, Acad. Press, 1972–1978.
Riesz, F. and Szokefalvi-Nagy, B.:Functional analysis, F. Ungar, 1955 (translated from the French).
Sobolev, S.L.:Applications of functional analysis in mathematical physics, Amer. Math. Soc., 1963 (translated from the Russian).
Hille, E. and Phillips, R.:Functional analysis and semi-groups, Amer. Math. Soc., 1957.
Svarc, A.S.:Mathematical foundations of quantum field theory, Moscow, 1975 (in Russian).
Enflo, P.: ‘A counterexample to the approximation problem in Banach spaces’,Acta. Math.130 (1973), 309–317.
Rudin, W.:Functional analysis, McGraw-Hill, 1973.
Conway, J.B.:A course in functional analysis, Springer, 1985.
Schaefer, H.H.:Topological vector spaces, Macmillan, 1966.
Banach, S.S.:Theorie des operations lineaires, Hafner, 1932.
Kothe, G.:Topological vector spaces, Ml, Springer, 1979.
Lindenstrauss, J. and Tzafriri, L.:Classical Banach spaces, l–ll, Springer, 1977–1979.
Schaefer, H.H.:Banach lattices and positive operators, Springer, 1974.
Horvath, J.:Topological vector spaces and distributions, Addison-Wesley, 1966.
Grothenddeck, A.: ‘Resume de la theorie metrique des produits tensoriels topologiques’,Bol. Soc. Mat Sao Paulo 8 (1956), 1–79.
Pietsch, A.:Operator ideals, North-Holland, 1980.
Diestel, J. and Uhl, J.J., Jr.:Vector measures, Amer. Math. Soc., 1977.
Kadison, R.V. and Ringrose, J.R.:Fundamentals of the theory of operator algebras, l–ll, Acad. Press, 1983-1986.
Kato, T.:Perturbation theory for linear operators, Springer, 1976.
Schwartz, J.T.:Non-linear functional analysis, Gordon amp; Breach, 1969.
Choquet, G.:Lectures on analysis, l–lll, Benjamin, 1969.
Rickart, C.E.:General theory of Banach algebra, v. Nostrand, 1960.
Luxemburg, W.A.J. and Zaanen, A.C.:Riesz spaces, I, North-Holland, 1971.
Schwartz, L.:Theorie des distributions, l–ll, Hermann, 1951.
Dunford, N. and Schwartz, J.T.:Linear operators, 1–3, Interscience, 1958–1971.
Bourbaki, N.:Elements of mathematics. Spectral theories, Addison-Wesley, 1977 (translated from the French).
Waelbroeck, L.: ‘Etude spectrale des algebres completes’,Acad Roy. Belgique CI. Sci.31, no. 7 (1960).
Taylor, J.L.: ‘Die analytic-functional calculus for several commuting operators’,Acta Math.125, no. 1–2 (1970), 1–38.
Dyn’kin, E.M.: ‘An operator calculus based on the Cauchy—Green formula’,Zap. Nauch. Sem. Leningrad. Otdel. Mat. Inst.30 (1972), 33–39 (in Russian).
Neumann, J. Von: ‘Eine Spektraltheorie fur allgemeine Operatoren eines unitaren Raumes’,Math. Nachr.4 (1950–1951), 258–281.
Szokefalvi-Nagy, B. and Foias, C.:Harmonic analysis of operators on Hilbert space, North-Holland, 1970 (translated from the French).
Peller, V.V.: ‘Estimates of operator polynomials in symmetric spaces. Functional calculus for absolute contraction operators’,Math. Notes 25 (1979), 464–471. (Mat. Zametki 25, no. 6 (1979), 899–912 )
Colojoara, I. and Foias, C.:Theory of generalized spectral operators, Gordon amp; Breach, 1968.
Lyubich, Yu.I. and Matsaev, V.I.: ‘Operators with separable spectrum’,Mat. Sb.56, no. 2 (1962), 433–468 (in Russian).
Mikusinski, J.:Operational calculus, Pergamon, 1959 (translated from the Polish).
Maslov, V.P.:Operational methods, Mir, 1976 (translated from theRuSSian).
Vasilescu, F.H.:Analytic functional calculus and spectral decompositions, Reidel amp; Editura Academici, 1982.
Kantorovich, L.V. and Akilov, G.P.:Functional analysis, Moscow, 1977 (in Russian).
Riesz, F. and Szokefalvi-Nagy, B.:Functional analysis, F. Ungar, 1955 (translated from the French).
Davidenko, D.F.:Mathematical programming and related questions. Computing methods, Moscow, 1976, pp. 187–212 (in Russian).
Kantorovich, L.V.:Uspekhi Mat. Nauk 11, no. 6 (1956), 99–116.
Davidenko, D.F.:The theory of cubature formulas and computing, Novosibirsk, 1980, pp. 59–65 (in Russian).
Daletskii, Yu.L. and Krein, M.G.:Stability of solutions of differential equations in Banach space, Amer. Math. Soc., 1974 (translated from the Russian).
Encyclopaedia of elementary mathematics. Functions and limits, Vol. 3, Moscow-Leningrad, 1952 (in Russian).
Atsel’, Ya.:Uspekhi Mat. Nauk 11, no. 3 (1956), 3–68.
Fichtenholz, G.M.:Differential und Integralrechnung, 1, Deutsch. Verlag Wissenschaft., 1964.
Aczél, J. (Ed.):Functional equations: history, applications and theory, Reidel, 1984.
Aczél, J.:Functional equations and their applications, Acad. Press, 1966.
Aczél, J.:A short course on functional equations, Reidel, 1987.
Dhombres, J.:Some aspects of functional equations, Chulalongkorn Univ., 1979.
Kuczma, M.:Functional equations in a single variable, PWN, 1968.
Kuczma, M.:An introduction to the theory of functional equations and inequalities, PWN amp; Univ. Sląski, 1985.
Belavin, A.A. and Drinfel’d, V.G.: ‘On the solutions of the classical Yang-Baxter equations for simple Lie algebras’,Funct Anal. Appl.16 (1982), 159–180. (Funkts. Anal. Prilozh.16, no. 3 (1982), 1–29 )
Hale, J.:Theory of functional differential equations, Springer, 1977.
El’sgol’ts, L.E. and Norkin, S.B.:Introduction to the theory and application of differential equations with deviating arguments, Acad. Press, 1973.
Kolmonovskit, V.B. and Nosov, V.R.:Stability of functional differential equations, Acad. Press, 1986.
Salamon, D.:Control and observation of neutral systems, Pitman, 1984.
Mohammed, S.E.A.:Retarded functional differential equations. A global point of view, Pitman, 1978.
Kantorovich, L.V.: ‘On Newton’s method’,Trudy Mat. Inst. Steklov.28 (1949), 104–144 (in Russian).
Krasnosel’skiĭ, M.A., et al.:Approximate solution of operator equations, Moscow, 1969 (in Russian).
Samarskiĭ, A.A.:Theorie der Differenzverfahren, Akad. Verlagsgesell. Geest u. Portig K.-D., 1984 (translated from the Russian).
Bakhvalov, N.S.:Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian).
Davidenko, D.F.:Approximate methods for solving operator equations and their applications, Irkutsk, 1982, pp. 71–83 (in Russian).
Mertvetsova, M.A.: ‘Analogue of the process of tangent hyperbolas for general functional equations’,Dokl. Akad. Nauk SSSR 88, no. 4 (1953), 611–614 (in Russian).
Nechepurenko, M.I.: ‘On Chebychev’s method for functional equations’,Uspekhi Mat. Nauk 9, no. 2 (1954), 163–170 (in Russian).
Tamme, E.E.: ‘On approximately solving functional equations by the method of series expansion in the inverse operator’,Dokl. Akad. Nauk SSSR 103, no. 5 (1955), 769–772 (in Russian).
Mysovskikh, I.P.: ‘On convergence of L.V. Kantorovich’s method for solving non-linear functional equations, and its applications’,Vestn. Leningrad. Univ.11 (1953), 25–48 (in Russian).
Davidenko, D.F.:Conf. programming and mathematical methods for solving physical problems, 1974, pp. 542–548 (in Russian).
Bel’tyukov, B.A.: ‘On a certain method of solution of nonlinear functional equations’,Zh. Vychisl. Mat. i Mat. Fiz.5, no. 5 (1965), 927–931 (in Russian).
Vaarmann, O.: ‘Approximations of pseudo-inverse operators as applied to the solution of non-linear equations’,Izv. Akad. Nauk EstSSR 20, no. 4 (1971), 386–393 (in Russian). Estonian and English summaries.
Davidenko, D.F.:Theoretical and applied problems in computing, Moscow, 1981, pp. 61–63 (in Russian).
Liventsov, A.I.:Mat. Sb.8, no. 1 (1876), 80–160.
Sintsov, D.M.: ‘Notes on functional calculus’,Izv. Fiz.-Mat. Obshch. Kazan. Univ. (2) 13, no. 2 (1903), 46–72 (in Russian).
Hale, J.K.:Functional differential equations, Springer, 1971.
Aczél, J. (Ed.):Functional equations: history, applications and theory, Reidel, 1984.
Aczél, J.:Functional equations and their applications, Acad. Press, 1966.
Liptser, R.Sh. and Shiryaev, A.N.:Statistics of random processes, Moscow, 1974 (in Russian).
Dynkin, E.B.:Foundations of the theory of Markov processes, Springer, 1961 (translated from the Russian).
Dynkin, E.B.:Markov processes, Springer, 1965 (translated from the Russian).
Revuz, D.: ‘Mesures associees aux fonctionelles additive de Markov I’,Trans. Amer. Math. Soc.148 (1970), 501–531.
Benveniste, A.: ‘Application de deux theoremes de G. Mokobodzki a l’etude du noyau de Levy d’un processus de Hunt sans hypothese (L)’, inLecture notes in math., Vol. 321, Springer, 1973, pp. 1 - 24.
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.:Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian).
Kelley, J.L.:General topology, Springer, 1975.
Yablonskiĭ, S.V.: ‘Functional constructions ink-valued logic’,Trudy Mat. Inst. Steklov.51 (1958), 5–142 (in Russian).
Yablonskiĭ, S.V.:Nauchn. Sov. Akad. Nauk SSSR Kibernet. Informal Mat.5 (42) (1970), 5–15.
Yablonskiĭ, S.V.: ‘On certain results in the theory of functional systems’, inProc. internal congress Mathematicians, Helsinki, Acad. Sci. Fennica, 1978, pp. 963–971 (in Russian).
Post, E.L.:Two-valued iterative systems of mathematical logic, Princeton Univ. Press, 1941.
Kudryavtsev, V.B.:Functional systems, Moscow, 1982 (in Russian).
Willems, J.C.: ‘From time series to linear system—part I. Finite dimensional linear time invariant systems’,Automatics 22, no. 5 (1986), 561–580.
Eilenberg, S.:Automata, languages and machines, 1–2, Acad. Press, 1974.
Priwalow, I.I. [I.I. Privalov]:Einfuhrung in die Funktionentheorie, 1–3, Teubner, 1958–1959 (translated from the Russian).
Markushevich, A.I.:Theory of functions of a complex variable, 1–2, Chelsea, 1977 (translated from the Russian).
Lavrent’ev, M.A. and Shabat, B.V.:Methoden der komplexen Funktionentheorie, Deutsch. Verlag Wissenschaft., 1967 (translated from the Russian).
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, 1–2, Moscow, 1969 (in Russian).
Vekua, I.N.:Generalized analytic functions, Pergamon, 1962 (translated from the Russian).
Hurwitz, A. and Courant, R.:Vorlesungen iiber allgemeine Funktionentheorie und elliptische Funktionen, Springer, 1964.
Gunning, R.C. and Rossi, H.:Analytic functions of several complex variables, Prentice-Hall, 1965.
Hormander, L.:An introduction to complex analysis in several variables, North-Holland, 1973.
Ahlfors, L.V.:Complex analysis, McGraw-Hill, 1979.
Carathsodory, C.:Theory of functions of a complex variable, 1–2, Chelsea, 1964 (translated from the German).
Garnett, J.B.:Bounded analytic functions, Acad. Press, 1981.
Rudin, W.:Real and complex analysis, McGraw-Hill, 1987.
Saks, S. and Zygmund, A.:Analytic functions, PWN, 1965 (translated from the Polish).
Conway, J.B.:Functions of a complex variable, Springer, 1973.
Hille, E.:Analytic function theory, 1–2, Chelsea, reprint, 1974.
Krantz, S.G.:Function theory of several variables, Wiley (Interscience), 1982.
Range, R.M.:Holomorphic functions and integral representations in several complex variables, Springer, 1986.
Boas, R.P.:Invitation to complex analysis, Random House, 1987.
Burckell, R.B.:An introduction to classical complex analysis, 1, Acad. Press, 1979.
Henrici, P.:Applied and computational complex analysis, 1–3, Wiley, 1974–1986.
Heins, M.:Complex function theory, Acad. Press, 1968.
Narasimhan, R.:Complex analysis in one variable, Birkhauser, 1985.
Baire, R.:Legons sur les fonctions discontinues, professees au college de France, Gauthier-Villars, 1905.
Lusin, N. [N.N. Luzin]:Sur les ensembles analytiques et leurs application, Gauthier-Villars, 1930 (translated from the Russian).
Luzin, N.N.:Collected works, Vol. 3, Moscow, 1959, pp. 319–341 (in Russian).
Lyapunov, A.A. and Novikov, S.P.: ‘Descriptive set theory’, inMathematics in the USSR during 30 years, Moscow-Leningrad, 1948 (in Russian).
Lebesgue, H.:Legons sur Vintegration et la recherche des fonctions primitives, Gauthier-Villars, 1928.
Kamke, E.:Das Lebesgue-Stieltjes Integral, Teubner, 1960.
Kolmogorov, A.N. and Fomin, S.V.:Elements of the theory of functions and functional analysis, Graylock, 1957–1961 (translated from the Russian).
Ul’yanov, P.L.: ‘The metric theory of functions’, inThe history of national mathematics, Vol. 3, Kiev, 1968 (in Russian).
Hardy, G.H.:Divergent series, Clarendon, 1949.
Bohr, H.:Almost periodic functions, Chelsea, reprint, 1947 (translated from the German).
Levitan, B.M.:Almost-periodic functions, Moscow, 1953 (in Russian).
Chebyshev, P.L.: ‘Questions on smallest magnitudes connected with the approximate representation of functions’, inComplete collected works, Vol. 2, Moscow-Leningrad, 1947, pp. 151–235 (in Russian).
Lozinskiĭ, S.M. and Natanson, I.P.: ‘Metric and constructive theory of functions of a real variable’, inMathematics in the USSR during 40 years, Vol. 1, Moscow, 1959 (in Russian).
Nikol’skiĭ, S.M.: ‘The theory of approximation of functions by polynomials’, inThe history of national mathematics, Vol. 3, Kiev, 1968 (in Russian).
Nikol’skiĭ, S.M.:Approximation of functions of several variables and imbedding theorems, Springer, 1975 (translated from the Russian).
Hemitt, E. and Stromberg, K.:Real and abstract analysis, Springer, 1965.
Royden, H.L.:Real analysis, Macmillan, 1968.
Rooy, A.C.M. Van and Schikhof, W.H.:A second course on real functions, Cambridge Univ. Press, 1982.
Saks, S.:Theory of the integral, Hafner, 1952 (translated from the Polish).
Lorentz, G.G.:Approximation of functions, Holt, Rinehart amp; Winston, 1966.
Choquet, G.:Outils topologiques et metriques de I’analyse mathematique, Centre de Documentation Univ. Paris, 1969. Redige par C. Mayer.
Bucur, I. and Deleanu, A.:Introduction to the theory of categories and functors, Wiley, 1968.
Cartan, H. and Eilenberg, S.:Homological algebra, Princeton Univ. Press, 1956.
Maclane, S.:Categories for the working mathematician, Springer, 1971.
Schubert, H.:Categories, Springer, 1972.
Tsalenko, M.Sh. and Shul’geifer, E.G.:Fundamentals of category theory, Moscow, 1974 (in Russian).
Mitchell, B.:Theory of categories, Acad. Press, 1965.
Adamek, J.:Theory of mathematical structures, Reidel, 1983.
Mitchell, B.:Theory of categories, Acad. Press, 1965.
Fuks, D.B., Fomenko, A.T. and Gutenmakher, V.L.:Homotopic topology, Moscow, 1969 (in Russian).
Mosher, R.E. and Tangora, M.C.:Cohomology operations and applications in homotopy theory, Harper amp; Row, 1968.
Husemoller, D.:Fibre bundles, McGraw-Hill, 1966.
Spanier, E.H.:Algebraic topology, McGraw-Hill, 1966.
Dold, A.:Lectures on algebraic topology, Springer, 1980.
Dold, A.:Lectures on algebraic topology, Springer, 1980.
Spanier, E.H.:Algebraic topology, McGraw-Hill, 1966.
Milnor, J.W. and Stasheff, J.D.:Characteristic classes, Princeton Univ. Press, 1974.
Kagan, V.F.:Foundations of the theory of surfaces in a tensor setting, Moscow-Leningrad, 1947, Chapt. 1 (in Russian).
Rashevskiĭ, P.K.:A course of differential geometry, Moscow, 1956 (in Russian).
Shulikovskii, V.I.:Classical differential geometry in a tensor setting, Moscow, 1963 (in Russian).
Klingenberg, W.:A course in differential geometry, Springer, 1978.
Spivak, M.:A comprehensive introduction to differential geometry, Publish or Perish, 1979.
Blaschke, W. and Leichtweiss, K.:Elementare Differential-geometrie, Springer, 1975.
Hicks, N.J.:Notes on differential geometry, v. Nostrand, 1965.
Massey, W.:Algebraic topology: an introduction, Springer, 1977.
Rokhlin, V.A. and Fuks, D.B.:Beginner’s course in topology: geometric chapters, Springer, 1984 (translated from the Russian).
Spanier, E.H.:Algebraic topology, McGraw-Hill, 1966.
Stallings, J.R.:Group theory and three-dimensional manifolds, Yale Univ. Press, 1972.
Brown, R.: ‘From groups to groupoids: a brief survey’,Bull. London Math. Soc.19 (1987), 113–134.
Bourbaki, N.:Elements of mathematics. Functions of a real variable, Addison-Wesley, 1976 (translated from the French).
Gantmakher, F.R.:The theory of matrices, Chelsea, reprint, 1977 (translated from the Russian).
Demidovich, B.P.:Lectures on the mathematical theory of stability, Moscow, 1967 (in Russian).
Yakubovich, V.A. and Starzhinskii, V.M.:Linear differential equations with periodic coefficients, Wiley, 1975 (translated from the Russian).
Brockett, R.W.:Finite dimensional linear systems, Wiley, 1970.
Hale, J.K.:Ordinary differential equations, Wiley, 1980.
Alexandrov, P.S.:Introduction to set theory and general topology, Moscow, 1977 (in Russian).
Kolmogorov, A.N. and Fomin, S.V.:Elements of the theory of functions and functional analysis, Graylock, 1957–1961 (translated from the Russian).
Kelley, J.L.:General topology, Springer, 1975.
Vladimirov, V.S.:Generalized functions in mathematical physics, Moscow, 1979 (in Russian).
Bers, L., John, F. and Schechter, M.:Partial differential equations, Interscience, 1964.
John, F.:Plane waves and spherical means: applied to partial differential equations, Interscience, 1955.
Friedman, A.:Partial differential equations of parabolic type, Prentice-Hall, 1964.
Ladyzhenskaya, O.A. and Ural’tseva, N.N.:Linear and quasilinear elliptic equations, Acad. Press, 1968 (translated from the Russian).
Ladyzhenskaya, O.A., Solonnikov, V.A. and Ural’tseva, N.N.:Linear and quasilinear parabolic equations, Amer. Math. Soc., 1968 (translated from the Russian).
Schwartz, L.:Theorie des distributions, 1–2, Hermann, 1957–1959.
Gel’fand, I.M. and Shilov, G.E.:Generalized functions, Acad. Press, 1964 (translated from the Russian).
Pontryagin, L.S.:Ordinary differential equations, Addison-Wesley, 1962 (translated from the Russian).
Ince, E.L.:Ordinary differential equations, Dover, reprint, 1956.
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Hazewinkel, M. (1989). F. In: Hazewinkel, M. (eds) Encyclopaedia of Mathematics. Soviet Mathematical Encyclopaedia, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5997-2_1
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