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AMS 1980 Subject Classification: 62EXX
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References
Lashof, R.: ‘Poincaré duality and cobordism’, Trans. Amer. Math. Soc. 109 (1963), 257–277.
Stong, R.E.: Notes on cobordism theory, Princeton Univ. Press, 1968.
Baer, R.: ‘Erweiterung von Gruppen und ihren Isomorphismen’, Math. Z. 38 (1934), 374–416.
Cartan, H. and Eilenberg, S.: Homological algebra, Princeton Univ. Press, 1956.
Baire, R.: Leçons sur les fonctions discontinues, professées au collège de France, Gauthier-Villars, 1905.
Hausdorff, F.: Set theory, Chelsea, reprint, 1978.
Natanson, I. P.: Theorie der Funktionen einer reellen Veränderlichen, H. Deutsch, Frankfurt a.M, 1961 (translated from the Russian).
Gagaeff, B.M.: ‘Sur les suites convergentes de fonctions mesurables B’, Fund Math. 18 (1932), 182–188.
Rooy, A.C.M. van and Schikhof, W.H.: A second course on real functions, Cambridge Univ. Press, 1982.
Boas, R.P., jr.: A primer of real functions, Math. Assoc. Amer., 1981.
Kuratowski, K.: Topology, Acad. Press, 1966–1968 (translated from the French). Paragraph 40.
Cech, E.: Topological spaces, Wiley, 1966.
Halmos, P.: Measure theory, v. Nostrand, 1950.
Baire, R.: Ann. Mat. Pura Appl. 3 (1899), 67.
Kelley, J.L.: General topology, van Nostrand, 1955.
Baire, R.: La théorie des fonctions discontinues, Gauthier-Villars, 1905.
Natanson, I.P.: Theorie der Funktionen einer reellen Veränderlichen, H. Deutsch, Frankfurt a.M., 1961 (translated from the Russian).
Rudin, W.: Principles of mathematical analysis, McGraw-Hill, 1964.
Faith, C.: Algebra: rings, modules and categories, 1-2, Springer, 1973-1976.
Itogi Nauk. i Tekhn. Algebra Topol. Geom. 19(1981), 31-134.
Faith, C.: Algebra, 1-2, Springer, 1973-1976.
Kantorovich, L.V. and Akilov, G.P.: Functionals analysis, Moscow, 1977 (in Russian).
Yosida, K.: Functionals analysis, Springer, 1980.
Poincaré, H.: ‘Sur les équations aux dérivees partielles de la physique mathématique’, Amer. J. Math. 12, no. 3 (1890), 211–294.
Poincaré, H.: Theorie du potentiel Newtonien, Paris, 1899.
Vallée-Poussin, Ch. J. de la: Le potentiel logarithmique, balayage et représentation conforme, Gauthier-Villars, 1949.
Sretenskiĭ, L.N.: Theory of the Newton potential, Moscow-Leningrad, 1946 (in Russian).
Landkof, N.S.: Foundations of modern potential theory, Springer, 1972 (translated from the Russian).
Brélot, M.: Eléments de la théorie classique du potentiel, Sorbonne Univ., Paris, 1965.
Constantinescu, C. and Cornea, A.: Potential theory on harmonic spaces, Springer, 1972.
Meyer, P.A.: Probability and potentials, Blaisdell, 1966.
Tsuji, M.: Potential theory in modern function theory, Chelsea, reprint, 1975.
Doob, J.L.: Classical potential theory and its probabilistic counterpart, Springer, 1984.
Dellacherie, C. and Meyer, P.A.: Probabilités et potentiel, 1-2, Hermann, 1975-1983.
Bourbaki, N.: Elements of mathematics. Spectral theories, Addison-Wesley, 1977 (translated from the French).
Gamelin, T.W.: Uniform algebras, Prentice-Hall, 1969.
Gunning, R.C. and Rossi, H.: Analytic functions of several complex variables, Prentice-Hall, 1965.
Gel’fand, I.M.: ‘Normierte Ringe’, Mat. Sb. 9(51), no. 1 (1941), 3–24.
Gleason, A.M.: ‘Function algebras’, in Proc. Sent on analytic functions, Vol. 2, 1958, pp. 213–226.
Hoffman, K.: Banach spaces of analytic functions, Prentice hall, 1962.
Gorin, E. A.: ‘Maximal subalgebras of commutative Banach algebras with involution’, Math. Notes 1, no. 2 (1967), 173–178. (Mat. Zametki 1, no. 2 (1967), 173-178)
Dunford, N. and Schwartz, J.T.: Linear operators, 1-3, Interscience, 1958-1971.
Zelazko, W.: Banach algebras, Hsevier, 1973 (translated from the Polish).
Kaplansky, I.: ‘Functionals analysis’, in Surveys in applied mathematics, Vol. 4. Some aspects of analysis and probability, Wiley, 1958.
Loomis, L.H.: An introduction to abstract harmonic analysis, v. Nostrand, 1953.
Naĭmark, M.A.: Normed rings, Reidel, 1984 (translated from the Russian).
Some questions in approximation theory, Moscow, 1963 (in Russian; translated from the English).
Rickart, C.E.: General theory of Banach algebras, Nostrand, 1960.
Royden, H.L.: ‘Function algebras’, Bull Amer. Math. Soc. 69, no. 3 (1963), 281–298.
Kadison, R.V. and Ringrose, J.R.: Fundamentals of the theory of operator algebras, 1, Acad. Press, 1983.
Douady, A.: ‘Les problèmes des modules pour les sous-espace analytique compacts d’une espace analytique donné’, Ann. Inst. Fourier (Grenoble) 16, no. 1 (1966), 1–95.
Sous-ensembles analytiques d’une variété banachique complexe, Springer, 1970.
Banach, S.: ‘Sur les lignes rectifiables et les surfaces dont l’aire est finie’, Fund. Math. 7 (1925), 225–236.
Natanson, I.P.: Theorie der Funktionen einer reellen Veränderlichen, H. Deutsch, Frankfurt a.M., 1961 (translated from the Russian).
Lozinskiĭ, S.M.: ‘On the Banach indicatrix’, Vestnik Leningrad. Univ. Math. Mekh. Astr. 7, no. 2, 70–87 (in Russian).
Kronrod, A.S.: ‘On functions of two variables’, Uspekhi Mat. Nauk 5, no. 1 (1950), 24–134 (in Russian).
Vitushkin, A.G.: On multi-dimensional variations, Moscow, 1955 (in Russian).
Federer, H.: Geometric measure theory, Springer, 1969.
Federer, H.: ‘An analytic characterization of distributions whose partial derivatives are representable by measures’, Bull. Amer. Math. Soc. 60 (1954), 339.
Vulikh, B.Z.: Introduction to the theory of partially ordered spaces, Wolters-Noordhoff, 1967 (translated from the Russian).
Day, M.M.: Normed linear spaces, Springer, 1958.
Schaefer, H.H.: Banach lattices and positive operators, Springer, 1974.
Luxemburg, W.A.J. and Zaanen, A.C.: Riesz spaces, 1, North-Holland, 1971.
Lindenstrauss, J. and Tzafriri, L.: Classical Banach spaces, 2, Springer, 1979.
Zaanen, A.C.: Riesz spaces, 2, North-Holland, 1983.
Mazur, S.: Computable analysis, PWN, 1963.
Friedberg, R.M.: ‘4-quantifier completeness: A Banach-Mazur functional not uniformly partial recursive’, Bull. Acad. Polon. Sci. Sér. Sci. Math., Astr. Phys. 6, no. 1 (1958), 1–5.
Markov, A.A.: ‘On constructive functions’, Trudy Mat. Inst. Steklov. 52 (1958), 315–348 (in Russian).
Rogers, jr., H.: Theory of recursive functions and effective computability, McGraw-Hill, 1967.
Aberth, O.: Computable analysis, McGraw-Hill, 1980.
Banach, S.: ‘Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales’, Fund. Math. 3 (1922), 133–181.
Banach, S.S.: A course of functional analysis, Kiev, 1948 (in Ukrainian).
Dunford, N. and Schwartz, J.T.: Linear operators. General theory, 1, Interscience, 1958.
Day, M.M.: Normed linear spaces, Springer, 1958.
Bourbaki, N.: Elements of mathematics. Topological vector spaces, Addison-Wesley, 1977 (translated from the French).
Singer, I.: Bases in Banach spaces, 1-2, Springer, 1970-1981.
Lindenstrauss, J. and Tzafriri, L.: Classical Banach spaces, 1-2, Springer, 1977-1979.
Diestel, J.J.: Geometry of Banach spaces. Selected topics, Springer, 1975.
Beauzamy, B.: Introduction to Banach spaces and their geometry, North-Holland, 1985.
Semanedi, Z.: Banach spaces of continuous functions, Polish Sci. Publ., 1971.
Banach, S. and Steinhaus, H.: ‘Sur le principe de la condensation de singularités’, Fund Math. 9 (1927), 50–61.
Bourbaki, N.: Elements of mathematics. Topological vector spaces, Addison-Wesley, 1977 (translated from the French).
Schaefer, H.H.: Topological vector spaces, Macmillan, 1966.
Kothe, G.: Topological vector spaces, 1, Springer, 1969.
Kelley, J.L. and Namioka, I.: Linear topological spaces, Springer, 1963.
Clifford, A.H.: ‘Bands of semi-groups’, Proc. Amer. Math. Soc. 5 (1954), 499–504.
Clifford, A.H. and Preston, G.B.: The algebraic theory of semigroups, 1, Amer. Math. Soc., 1961.
Lyapin, E.S.: Semigroups, Amer. Math. Soc., 1974 (translated from the Russian).
Shevrin, L.N.: ‘Strong bands of semi-groups’, Izv. Vyssh. Uchebn. Zaved. Mat., no. 6 (1965), 156–165 (in Russian).
Kleene, S.C. and Vesley, R.E.: The foundations of intuitionistic mathematics: especially in relation to recursive functions, North-Holland, 1965.
Dummett, M.: Elements of intuitionism, Clarendon Press, 1977.
Troelstra, A.S.: Choice sequences, Clarendon Press, 1977.
Barbier, E.: ‘Note sur le problème de l’ainguille et le jeu du joint couvert’, J. Math. Pure Appl. 5 (1860), 273–286.
Bonnesen, T. and Fenchel, W.: Theorie der konvexen Körper, Springer, 1934.
Bourbaki, N.: Elements of mathematics. Topological vector spaces, Addison-Wesley, 1977 (translated from the French).
Edwards, R.E.: Functionals analysis: theory and applications., Holt, Rinehardt, Winston, 1965.
Schaefer, H.H.: Topological vector spaces, Macmillan, 1966.
Kelley, J.L. and Namioka, I.: Linear topological spaces, Springer, 1963.
Köthe, G.: Topological vector spaces, 1, Springer, 1969.
Bourbaki, N.: ‘Sur certains espaces vectoriels topologiques’, Ann. Inst. Fourier 2 (1950), 5–16.
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1962 (translated from the German).
Vladimirov, V.S.: Methods of the theory of functions of several complex variables, M.I.T., 1966, Chapt. 3 (translated from the Russian).
Shabat, B.V.: Introduction to complex analysis, 1-2, Moscow, 1985, Chapt. 3 (in Russian).
Hayman, W.K. and Kennedy, P.B.: Subharmonic functions, 1, Cambridge Univ. Press, 1976.
Helms, L.L.: Introduction to potential theory, Acad. Press, 1975 (translated from the German).
Bartlett, M.S.: ‘The information available in small samples’, Proc. Cambridge Philos. Soc. (1) 32, no. 3 (1936), 560–566.
Möbius, A.F.: ‘Der barycentrische Kalkül’, in Gesammelte Werke, Vol. 1, Hirzel, Leipzig, 1885.
Pontryagin, L.S.: Grundzüge der kombinatorischen Topologie, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Spanier, E.H.: Algebraic topology, MacGraw-Hill, 1966.
Lamotke, K.: Semisimpliziale algebraische Topologie, Springer, 1968.
Aleksandrov, P.S.: Einfuhrung in die Mengenlehre und die Theorie der reelen Funktionen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Urysohn, P.S. [P.S. Uryson]: Works on topology and other fields of mathematics, Vol. 1-2, Leningrad, 1951 (in Russian).
Aleksandrov, P.S. and Pasynkov, B.A.: An introduction to the theory of topological spaces and general dimension theory, Moscow, 1973 (in Russian).
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. General topology, Addison-Wesley, 1966 (translated from the French).
Godement, R.: Topologie algébrique et théorie des faisceaux, Hermann, 1958.
Kagan, V.F.: Foundations of the theory of surfaces in a tensor setting, Moscow-Leningrad, 1948, Chapt. 2 (in Russian).
Shirshov, A.I.: ‘On bases of free Lie algebras’, Algebra i Logika 1, no. 1 (1962), 14–19 (in Russian).
Bourbaki, N.: Groupes et algèbres de Lie, Hermann, 1972, Chapt. 2; 3.
Hall, M., jr.: The theory of groups, Macmillan, 1959.
Magnus, W., Karrass, A. and Solitar, D.: Combinatorial group theory, Interscience, 1966.
Viennot, G.: Algèbres de Lie libres et monoides libres, Lect. Notes in Math., 691, Springer, 1978.
Algebraic surfaces, Moscow, 1965 (in Russian).
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Cohn, P.M.: Universal algebra, Reidel, 1981.
Mal’tsev, A.I.: Algebraic systems, Springer, 1973 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, Chapt. 1; 2 (translated from the French).
Hamel, G.: ‘Eine Basis aller Zahlen und die unstetigen Lösungen der Funktionalgleichung: f(x+y)=f(x)+f(y)’, Math. Ann. 60 (1905), 459–462.
Schauder, J.: ‘Zur Theorie stetiger Abbildungen in Funktionalräumen’, Math. Z. 26 (1927), 47–65; 417-431.
Enelo, P.: ‘A counterexample to the approximation problem in Banach spaces’, Acta Math. 130 (1973), 309–317.
Zobin, N.M. and Mityagin, B.S.: ‘Examples of nuclear linear metric spaces without a basis’, Functionals Anal. Appl. 8, no. 4 (1974), 304–313. (Funktsional. Analiz. i Prilozhen. 8, no. 4 (1974), 35-47)
Edwards, R.E.: Functionals analysis: theory and applications., Holt, Rinehardt, Winston, 1965.
Dieudonné, J.: ‘Sur les espaces de Köthe’, J. d’Analyse Math. 1(1951), 81–115.
Arsove, M.G.: ‘The Paley-Wiener theorem in metric linear spaces’, Pacific J. Math. 10 (1960), 365–379.
Bessaga, C. and Pelczynski, A.: ‘Spaces of continuous functions IV’, Studia Math. 19 (1960), 53–62.
James, R.C.: ‘Bases and reflexivity in Banach spaces’, Ann. of Math. (2) 52, no. 3 (1950), 518–527.
Dynin, A. and Mityagin, B.: ‘Criterion for nuclearity in terms of approximate dimension’, Bull. Acad. Polon. Sci. Sér. Sci. Math., Astr. Phys. 8 (1960), 535–540.
Day, M.M.: Normed linear spaces, Springer, 1958.
Pietsch, A.: Nuclear locally convex spaces, Springer, 1972 (translated from the German).
Singer, I.: Bases in Banach spaces, 1-2, Springer, 1970-1981.
Bateman, H.: ‘The k —function, a particular case of the confluent hypergeometric function’, Trans. Amer. Math. Soc. 33 (1931), 817–831.
Bateman, H. and Erdélyi, A. (eds.): Higher transcendental functions, 1, McGraw-Hill, 1953.
Bateman, H.: Messeng. Math. 37 (1908), 179–187.
Kantorovich, L.V. and Krylov, V.I.: Approximate methods of higher analysis, Noordhoff, 1958 (translated from the Russian).
Bateman, H.: Proc. Hoy. Soc. A (1922), 441-449.
Kolmogorov, A.N.: Foundations of the theory of probability, Chelsea, reprint, 1950 (translated from the Russian).
Liptser, R.S. and Shiryayev, A.N.: Statistics of random processes, 1, Springer, 1977, Section 7.9.
Wald, A.: Statistical decision functions, Wiley, 1950.
Groot, M.H. de: Optimal statistical decisions, McGraw-Hill, 1970.
Bernshteĭn, S.N.: ‘On ‘fiducial’ probabilities of Fisher’, Izv. Akad Nauk SSSR Ser. Mat. 5 (1941), 85–94 (in Russian). English abstract.
Bol’shev, L.N.: ‘Applications of the empirical Bayes approach’, in Internat. Congress Mathematicians Nice, 1970, Vol. 3, Gauthier-Villars, 1971, pp. 241–247.
Robbins, H.: ‘An empirical Bayes approach to statistics’, in Proc. Berkeley Symp. Math. Statist. Probab., Vol. 1, Berkeley-Los Angeles, 1956, pp. 157-163.
Sverdrup, E.: Laws and chance variations, 1, North-Holland, 1967, Chapt. 6, Section 4.
Behnke, H. and Stein, K.: ‘Konvergente Folgen von Regularitätsbereichen und die Meromorphiekonvexität’, Math. Ann. 116 (1938), 204–216.
Vladimirov, V.S.: Methods of the theory of functions of several complex variables, M.I.T., 1966 (translated from the Russian).
Behrens, W.U.: Landwirtsch. Jahresber. 68, no. 6 (1929), 807–837.
Linnik, Yu. V.: Statistical problems with nuisance parameters, Amer. Math. Soc., 1968 (translated from the Russian).
Linnik, Yu. V., Romanovskiĭ, I.V. and Sudakov, V.N.: ‘A nonrandomized homogeneous test in the Behrens — Fisher problem’, Soviet Math. Dokl. 5, no. 2 (1964), 570–572. (Dokl. Akad Nauk SSSR 155, no. 6 (1964), 1262-1264)
Linnik, Yu. V.: ‘Randomized homogeneous tests for the Behrens-Fisher problem’, Selected Transl, in Math. Stat. and Probab. 6 (1966), 207–217 (translated from the Russian).
Karlin, S.: Mathematical methods and theory in games, programming and economics, Addison-Wesley, 1959.
Bellman, R.: Dynamic programming, Princeton Univ. Press, 1957.
Fleming, W.H. and Rishel, R.W.: Deterministic and stochastic optimal control, Springer, 1975.
Bellman, R. and Harris, T.E.: ‘On the theory of agedependent stochastic branching processes’, Proc. Nat. Acad. Sci. USA 34 (1948), 601–604.
Spivak, A.M.: Differential geometry, 3, Publish or Perish, 1975.
Beltrami, E.: ‘Saggio di interpretazione della geometria noneuclidea’, in Opere Mat, Vol. 1, 1868, pp. 374–405.
Kagan, V.F.: The foundations of geometry, 1, Moscow-Leningrad, 1949 (in Russian).
Klein, F.: Vorlesungen über nicht-Euklidische Geometrie, Springer, 1968.
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
John, F.: Partial differential equations, Springer, 1978.
Bendixson, I.: ‘Sur les courbes définies par des équations différentielles’, Acta Math. 24 (1901), 1–88.
Dulac, H.: ‘Récherches des cycles limites’, C. R. Acad. Sci. Paris Sér. I Math. 204 (1937), 1703–1706.
Andronov, A.A., Vitt, A.A. and Khaĭkin, S.E.: Theory of oscillations, Moscow, 1959 (in Russian).
Andronov, A.A., Leontovich, E.A., Gordon, I.I. and Maier, A.G.: Qualitative theory of second-order dynamic systems, Wiley, 1973 (translated from the Russian).
Andronov, A.A., Leontovich, E.A., Gordon, I.I. and Maier, A.G.: Qualitative theory of second-order dynamic systems, Wiley, 1973 (translated from the Russian).
Andronov, A.A., Leontovich, E.A., Gordon, I.I. and Maier, A.G.: Qualitative theory of second-order dynamic systems, Wiley, 1973 (translated from the Russian).
Bergman, S.: The kernel function and conformai mapping, Amer. Math. Soc., 1950.
Fuks, B.A.: Special chapters in the theory of analytic functions of several complex variables, Amer. Math. Soc., 1965 (translated from the Russian).
Shabat, B.V.: Introduction to complex analysis, 1-2, Moscow, 1976 (in Russian).
Boutet de Monvel, L. and Sjöstrand, J.: ‘Sur la singularité des noyaux de Bergman et de Szegö’, Astérisque 34–35 (1976), 123–164.
Catlin, D.: ‘Global regularity of the \(\bar \partial\)-Neumann problem’, in Proc. Symp. Pure Math., Vol. 41, Amer. Math. Soc., 1984, pp. 39-49.
Diederich, K., Herbort, G. and Ohsawa, T.: ‘The Bergman kernel on uniformly extendable pseudo-convex domains’, Math. Ann. 273 (1986), 471–478.
Fefferman, C.: ‘The Bergman kernel and biholomorphic mappings of pseudo-convex domains’, Invent. Math. 37 (1974), 1–65.
Range, R.M.: Holomorphic functions and integral representations in several complex variables, Springer, 1986, Chapt. 7.
Hua, L.K.: Harmonic analysis of functions of several complex variables in the classical domains, Amer. Math. Soc., 1963.
Gindikin, S.G.: ‘Analysis on homogeneous domains’, Russian Math. Surveys 19 (1964), 1–89. (Uspekhi Mat Nauk 19 (1964), 3-92)
Bergman, SB.: Mat. Sb. 1(43) (1936), 242–257.
Weil, A.: ‘l’Intégrale de Cauchy et des fonctions de plusieurs variables’, Math, Ann. 111 (1935), 178–182.
Vladimirov, V.S.: Methods of the theory of functions of several complex variables, M.I.T., 1966 (translated from the Russian).
Henkin, G.M. and Leiterer, J.: Theory of functions on complex manifolds, Birkhäuser, 1983.
Ornstein, D.: ‘Bernoulli shifts with the same entropy are isomorphic’, Adv. Math. 4 (1970), 337–352.
D. Ornstein: ‘A Kolmogorov automorphism that is not a Bernoulli shift’, Matematika 15, no. 1 (1971), 131–150 (in Russian).
Sinaĭ, Ya. G.: ‘On weak isomorphism of transformations with invariant measure’, Mat. Sb. 63(105), no. 1 (1964), 23–42 (in Russian).
Keane, M. and Smorodinsky, M.: ‘Bernoulli schemes with the same entropy are finitarily isomorphic’, Ann. of Math. 109 (1979), 397–406.
Smorodinsky, M.: Ergodic theory, entropy, Springer, 1971.
Ornstein, D.: Ergodic theory, randomness, and dynamical systems, Yale Univ. Press, 1974.
Cornfeld, I.P., Fomin, S.V. and Sinai, Ya. G.: Ergodic theory, Springer, 1982 (translated from the Russian).
Bernoulli, J.: Acta Erud. (1695), 59-67; 537-557.
Kamke, E.: Differentialgleichungen: Lösungsmethoden und Lösungen, 1, Chelsea, reprint, 1971.
Ince, W.L.: Ordinary differential equations, Dover, reprint, 1956.
Milne-Thomson, L.M.: Theoretical hydrodynamics, Macmillan, 1950.
Savelov, A.A.: Plane curves, Moscow, 1960 (in Russian).
Brieskorn, E. and Knörrer, H.: Plane algebraic curves, Birkhäuser, 1986 (translated from the German).
Bernoulli, D.: Comm. Acad. Sci. Imper. Petropolitanae 3(1732), 62–69, Petropolis.
Whittaker, E.T. and Robinson, G.: Mathematische Bearbeitung von Resultaten der Observation, Leningrad-Moscow, 1935 (in Russian; translated from the German).
Hildebrand, F.: Introduction to numerical analysis, McGraw-Hill, 1956.
Bernoulli, J.: Ars conjectandi, Basle, 1713.
Davis, H.T.: Tables of the higher mathematical functions, 2, Bloomington, 1935.
Saalschuetz, L.: Vorlesungen über die Bernoullischen Zahlen, Berlin, 1893.
Chistyakov, I.I.: Bernoulli numbers, Moscow, 1895 (in Russian).
Nielsen, N.: Traité élémentaire de nombres de Bernoulli, Paris, 1923.
Kudryavtsev, V.A.: Summation of powers of natural numbers and Bernoulli numbers, Moscow-Leningrad, 1936 (in Russian).
Nörlund, N.E.: Vorlesungen über Differenzenrechnung, Berlin, 1924.
Gelfond, A.O. [A.O. Gel’fond]: Differenzenrechnung, Deutsch. Verlag Wissenschaft., 1958 (translated from the Russian).
Hardy, G.H.: Divergent series, Clarendon, 1949.
Lang, S.: Cyclotomic fields, Springer, 1978.
Ribenboim, P.: Thirteen lectures on Fermat’s last theorem, Springer, 1979.
Euler, L.: Institutiones calculi differentialis, 10, Teubner, 1980.
Nörlund, N.E.: Vorlesungen über Differenzenrechnung, Berlin, 1924.
Bateman, H. and Erdélyi, A.: Higher transcendental functions. The Gamma function. The hypergeometric function. Legendre functions, Vol. 1, McGraw-Hill, 1953.
Likhin, V.V.: lstor Mat. Issled (1959), 59-134.
Feller, W.: An introduction to probability theory and its applications, 1, Wiley, 1957–1971, Chapt. 14.
Bernoulli, J.: Ars conjectandi, Vol. 4, Basle, 1713.
Markov, A.A.: Calculus of probabilities, Moscow, 1924 (in Russian).
Bernshteĭn, S.N.: Probability theory, Moscow-Leningrad, 1946 (in Russian).
Feller, W.: An introduction to probability theory and its applications, 1, Wiley, 1965.
Serfling, R.J.: Approximation theorems of mathematical statistics, Wiley, 1980, 6, 96.
Gnedenko, B.V.: The theory of probability, Chelsea, reprint, 1962 (translated from the Russian).
Feller, W.: An introduction to probability theory and its applications, 1-2, Wiley, 1957-1971.
Bernshteĭn, S.N.: Probability theory, Moscow-Leningrad, 1946 (in Russian).
Kolmogoroff, A.N. [A.N. Kolmogorov]: ‘Ueber das Gesetz des iterierten Logarithmus’, Math. Ann. 101 (1929), 126–135.
Hoeffding, W.: ‘Probability inequalities for sums of independent random variables’, J. Amer. Statist. Assoc. 58 (1963), 13–30.
Yurinskiĭ, V.V.: ‘Exponential inequalities for sums of random vectors’, J. Multivariate Anal. 6 (1976), 473–499.
Bernstein, S.N. [S.N. Bernshteĭn]:’ sur Tordre de la meilleure approximation des fonctions continues par des polynômes’, Acad. R. Belgique, Cl. Sci. Mém. Coll. 4. Sér. II 4 (1922).
Bernstein, S.N. [S.N. Bernshteĭn]: ‘Sur une propriété des fonctions entières’, C.R. Acad. Sci. Paris 176 (1923), 1603–1605.
Nikol’skiĭ, S.M.: Approximation of functions of several variables and imbedding theorems, Springer, 1975 (translated from the Russian).
Natanson, I.P.: Constructive theory of functions, 1-3, Ungar, 1964-1965 (translated from the Russian).
Lorentz, G.G.: Approximation of functions, Holt, Rinehart and Winston, 1966.
Bernshteĭn, S.N.: Collected works, Vol. 2, Moscow, 1954, pp. 130–140 (in Russian).
Davis, P.J.: Interpolation and approximation, Dover, reprint, 1975.
Cheney, E.W.: Introduction to approximation theory, Chelsea, reprint, 1982.
Bernstein, S.N. [S.N. Bernshteĭn]: ‘Sur la généralisation du problème de Dirichlet (première partie)’, Math. Ann. 62 (1906), 253–271.
Bernstein, S.N. [S.N. Bernshteĭn]: ‘Sur la généralisation du problème de Dirichlet (deuxième partie)’, Math. Ann. 69 (1910), 82–136.
Bernshteĭn, S.N.: Collected works, Vol. 3, Moscow, 1960.
Ladyzhenskaya, O.A. and Ural’tseva, N.N.: Linear and quasilinear elliptic equations, Academic Press, 1968 (translated from the Russian).
Pogorelov, A.V.: Die Verbiegung konvexer Flächen, Akademie-Verlag, 1957 (translated from the Russian).
Oleĭnik, O.A. and Kruzhkov, S.N.: ‘Quasi-linear parabolic equations of second order in several independent variables’, Russian Math. Surveys 16, no. 2 (1961), 105–146. (Uspekhi Mat. Nauk 16, no. 5 (1961), 115-155).
Bernshteĭn, S.N.: Collected works, Vol. 1, Moscow, 1952, pp. 105–106.
Bernshteĭn, S.N.: Collected works, Vol. 2, Moscow, 1954, pp. 310–348.
Goncharov, V.L.: The theory of interpolation and approximation of functions, Moscow, 1954 (in Russian).
Baskakov, V.A.: ‘An instance of a sequence of linear positive operators in the space of continuous functions’, Dokl. Akad. Nauk SSSR 113, no. 2 (1957), 249–251 (in Russian).
Korovkin, P.P.: Linear operators and approximation theory, Hindushtan Publ. Comp., Delhi, 1960 (translated from the Russian).
Kantorovich, L.V.: Izv. Akad Nauk SSSR Ser. Mat. 8 (1931), 1103–1115.
Davis, P.J.: Interpolation and approximation, Dover, reprint, 1975, pp. 108-126.
Rivlin, Th. J.: An introduction to the approximation of functions, Dover, reprint, 1981.
Lorentz, G.G.: Bernstein polynomials, Univ. of Toronto Press, 1953.
Rogosinski, W.W.: ‘Ueber die Abschnitte trigonometischer Reihen’, Math. Ann. 95 (1925), 110–134.
Bernshteĭn, S.N.: Collected works, Vol. 1, Moscow, 1952, p. 37 (in Russian).
Hardy, G.H.: Divergent series, Clarendon, 1949.
Beekmann, W. and Zeller, K.: Theorie der Limitierungsverfahren, Springer, 1970.
Bernstein, S.N. [S.N. Bernshteĭn]: ‘Ü’ber ein geometrisches Theorem und seine Anwendung auf die partiellen Differentialgleichungen vom elliptischen Typus’, Math. Z. 26 (1927), 551–558 (translated from the French).
Nitsche, J.C.C.: Vorlesungen über Minimalflächen, Springer, 1975.
Osserman, R.: ‘Minimal varieties’, Bull. Amer. Math. Soc. 75 (1969), 1092–1120.
Osserman, R.: A survey of minimal surfaces, v. Nostrand, 1969.
Fomenko, A.T.: Plateau’s problem, Gordon and Breach, 1987 (translated from the Russian).
Bombieri, E., Giorgi, E. de and Giusti, E.: ‘Minimal cones and the Bernstein theorem’, Inventiones Math. 7 (1969), 243–269.
Bernstein, S.N.: ‘Sur une théorème de géometrie et ses applications aux équations dérivées partielles du type elliptique’, Comm. Soc. Math. Kharkov 15 (1915–1917), 38–45.
Berry, A.C.: ‘The accuracy of the Gaussian approximation to the sum of independent variables’, Trans. Amer. Math. Soc. 49 (1941), 122–136.
Esseen, C.G.: ‘On the Liapunoff limit of error in the theory of probability’, Ark. Mat. Astr. Fysik 28A, no. 2 (1942), 1–19.
Petrov, V.V.: Sums of independent random variables, Springer, 1975 (translated from the Russian).
Feller, W.: An introduction to probability theory and its applications, 2, Wiley, 1966.
Bertini, E.: Introduction to the projective geometry of hyperspaces, Messina, 1923 (in Italian).
Algebraic surfaces, Moscow, 1965 (in Russian).
Baldassarri, M.: Algebraic varieties, Springer, 1956.
Akizuki, Y.: ‘Theorems of Bertini on linear systems’, J. Math. Soc. Japan 3, no. 1 (1951), 170–180.
Nakai, Y.: ‘Note on the intersection of an algebraic variety with the generic hyperplane’, Mem. Coll. Sci. Univ. Kyoto Ser. A Math. 26, no. 2 (1950), 185–187.
Zariski, O.: ‘The theorem of Bertini on the variable singular points of a linear system of varieties’, Trans. Amer. Math. Soc. 56 (1944), 130–140.
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Fichtenholz, G.M.: Differential und Integralrechnung, l, Deutsch. Verlag Wissenschaft., 1964.
Blaschke, W. and Leichtweiss, K.: Elementare Differentialgeometrie, Springer, 1973.
Bertrand, J.: ‘Mémoire sur la théorie des courbes à double courbure’, Liouvilles Journal 15 (1850).
Bertrand, J.L.: Calcul des probabilités, Gauthier-Villars, 1907.
Poincaré, H.: Calcul des probabilités, Gauthier-Villars, 1912.
Kendall, M.G. and Moran, P.A.P.: Geometric probability, Griffin, 1963.
Székely, G.G.: Paradoxes in probability theory and mathematical statistics, Reidel, 1986, pp. 43-48.
Chebyshev, P.L.: Oeuvres de P.L Chebyshev, 1, Chelsea, reprint, 1961 (translated from the Russian).
Hardy, G.H. and Wright, E.M.: An introduction to the theory of numbers, Clarendon Press, 1965, p. 343ft.
Besicovitch, A.S.: ‘On mean values of functions of a complex and of a real variable’, Proc. London Math. Soc. (2) 27 (1927), 373–388.
Besicovitch, A.S.: ‘On Parseval’s theorem for Dirichlet series’, Proc. London Math. Soc. (2) 26 (1927), 25–34.
Levitan, B.M.: Almost-periodic functions, Moscow, 1953 (in Russian).
Besicovitch, A.S.: ‘On generalized almost periodic functions’, Proc. London Math. Soc. (2) 25 (1926), 495–512.
Bessel, F.: Abh. d K. Akad Wiss. Berlin (1824), 1-52.
Gray, A. and Mathews, G.B.: A treatise on Bessel functions and their application to physics, Macmillan, 1931.
Watson, G.N.: A treatise on the theory of Bessel functions, 1-2, Cambridge Univ. Press, 1952.
Kamke, E.: Differentialgleichungen: Lösungsmethoden und Lösungen, 1, Chelsea, reprint, 1971.
Lebedev, N.N.: Special functions and their applications, Dover, reprint, 1972 (translated from the Russian).
Kudryavtsev, L.D.: Mathematical analysis, 2, Moscow, 1973 (in Russian).
Yosida, K.: Functionals analysis, Springer, 1980.
Cheney, E.W.: Introduction to approximation theory, Chelsea, reprint, 1982.
Davis, P.J.: Interpolation and approximation, Dover, reprint, 1975.
Hewitt, E. and Stomberg, K.: Real and abstract analysis, Springer, 1965.
Berezin, I.S. and Zhidkov, N.P.: Computing methods, 1, Pergamon Press, 1973 (translated from the Russian).
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian).
Abramowitz, M. and Stegun, I.A.: Handbook of mathematical functions, Nat. Bur. Stand., Appl. Math. Sen, 55, Dover, 1970.
Hildebrand, F.: Introduction to numerical analysis, Addison-Wesley, 1956.
Nikol’skiĭ, S.M.: Approximation of functions of several variables and imbedding theorems, Springer, 1975 (translated from the Russian).
Aronszajn, M. and Smith, K.T.: ‘Theory of Bessel potentials I’, Ann. Inst. Fourier (Grenoble) 11 (1961), 385–475.
Kaczmarz, S. and Steinhaus, H.: Theorie der Orthogonalreihen, Chelsea, reprint, 1951.
Chebyshev, P.L.: Complete collected works, 2, Moscow, 1947 (in Russian).
Achiezer, N.I. [N.I. Akhiezer]: Theory of approximation, F. Ungar, 1956 (translated from the Russian).
Dzyadyk, V.K.: Introduction to the theory of uniform approximation of functions by polynomials, Moscow, 1977 (in Russian).
Goncharov, V.L.: The theory of interpolation and approximation of functions, Moscow, 1954 (in Russian).
Korneĭchuk, N.P.: Extremal problems in approximation theory, Moscow, 1976 (in Russian).
Nikol’skiĭ, S.M.: Approximation of functions of several variables and imbedding theorems, Springer, 1975 (translated from the Russian).
Timan, A.F.: Theory of approximation of functions of a real variable, Pergamon, 1963 (translated from the Russian).
Tikhomirov, V.M.: Some questions in approximation theory, Moscow, 1976 (in Russian).
Laurent, P.J.: Approximation et optimisation, Hermann, 1972.
Lorentz, G.G.: Approximation of functions, Holt, Rinehart and Winston, 1966.
Cheney, E.W.: Introduction to approximation theory, Chelsea, reprint, 1982.
Rice, J.R.: The approximation of functions, 1. Linear theory, Addison-Wesley, 1964.
Pinkus, A.: n-widths in approximation theory, Springer, 1985.
Bernstein, S.N. [S.N. Bernshteĭn]: Collected works, 2, Moscow, 1954 (in Russian).
Goncharov, V.L.: The theory of interpolation and approximation of functions, Moscow, 1954 (in Russian).
Timan, A.F.: Theory of approximation of functions of a real variable, Pergamon, 1963 (translated from the Russian).
Natanson, I.P.: Constructive function theory, 1-3, F. Ungar, 1964–1965 (translated from the Russian).
Cheney, E.W.: Introduction to approximation theory, Chelsea, reprint, 1982.
Bernshteĭn, S.N.: Collected works, 2, Moscow, 1954 (in Russian).
Timan, A.F.: Theory of approximation of functions of a real variable, Pergamon, 1963 (translated from the Russian).
Temlyakov, V.N.: ‘On best approximations of functions in two variables’, Dokl. Akad. Nmuk SSSR 223, no. 5 (1975), 1079–1082 (in Russian).
Lorentz, G.G.: Approximation of functions, Holt, Rinehart and Winston, 1966.)
Achiezer, N.I. [N.I. Akhiezer]: Theory of approximation, F. Ungar, 1956 (translated from the Russian).
Korneĭchuk, N.P.: Extremal problems in approximation theory, Moscow, 1976 (in Russian).
Tikhomirov, V.M.: Some questions in approximation theory, Moscow, 1976 (in Russian).
Kiesewetter, H.: Vorlesungen über lineare Approximation, Deutsch. Verlag Wissenschaft., 1973.
Rice, J.R.: The approximation of functions, 1. Linear theory, Addison-Wesley, 1964.
Nikol’skiĭ, S.M.: Quadrature formulae, H.M. Stationery Office, London, 1966 (translated from the Russian).
Krylov, N.M.: Approximate calculation of integrals, Macmillan, 1962 (translated from the Russian).
Laurent, P.J.: Approximation et optimisation, Hermann, 1972.
Zhensykbaev, A.A.: ‘Monosplines of minimal norm and quadrature formulas’, Uspekhi Mat. Nauk 36, no. 4 (1981), 107–159 (in Russian).
Brass, H.: Quadraturverfahren, Vandenhoek & Ruprecht, 1977.
Davis, P.J. and Rabinowitz, P.: Methods of numerical integration, Acad. Press, 1984.
Engels, H.: Numerical quadrature and cubature, Acad. Press, 1980.
Bol’shev, L.N. and Smirnov, N.V.: Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow, 1968 (in Russian). Processed by L.S. Bark and E.S. Kedova.
Pearson, K.: Tables of the incomplete beta-function, Cambridge Univ. Press, 1932.
Seifert, H. and Threlfall, W.: Lehrbuch der Topologie, Chelsea, reprint, 1980.
Aleksandrov, P.S.: An introduction to homological dimension theory and general combinatorial topology, Moscow, 1975 (in Russian).
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966.
Betti, E.: Ann. Mat. Pura Appl. 4 (1871), 140–158.
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966.
Gilmer, R. and Dekker, M.: Multiplicative ideal theory, 1972.
Bezout, E.: Théorie génerale des équations algébriques, Paris, 1779.
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1977, Chapt. 4, Sect. 2 (translated from the Russian).
Bianchi, L.: Ann. Mat. Pura Appl. 18 (1890), 301–358.
Finikov, S.P.: Theorie der Kongruenzen, Akademie-Verlag, 1959 (translated from the Russian).
Finikov, S.P.: Bending and related geometrical problems, Moscow-Leningrad, 1937 (in Russian).
Zhulikovskiĭ, V.I.: Classical differential geomctry in a tensor setting, Moscow, 1963 (in Russian).
Bianchi, L.: Lezioni di geometria differenziale, 1-2, Zanichelli, Bologna, 1923-1927.
Hicks, N.J.: Notes on differential geometry, v. Nostrand, 1965.
Kobayashi, S. and Nomizu, K.: Foundations of differential geometry, 1, Wiley (Interscience), 1963.
Bianchi, L.: Lezioni di geometria differenziale, 2, Zanichelli, Bologna, 1927, Chapt. 1.
Finikov, S.P.: Theorie der Kongruenzen, Akademie-Verlag, 1959 (translated from the Russian).
Eisenhart, L.P.: A treatise on the differential geometry of curves and surfaces, Boston, 1909.
Darboux, G.: Leçons sur la théorie générale des surfaces, Chelsea, reprint, 1972.
Cramér, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Tsalenko, M. Sh. and Shul’geĭfer, E.G.: Fundamentals of category theory, Moscow, 1974 (in Russian). M. Sh. Tsalenko
Courant, R.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Hörmander, L.: The analysis of partial differential operators, 1, Springer, 1983, 271; 302.
Hörmander, L.: Linear partial differential operators, Springer, 1963, 29; 31.
MacLane, S.: Homology, Springer, 1963.
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).
Bieberbach, L.: ‘Über die Koeffizienten derjenigen Potenzreihen, welche eine schlichte Abbildung des Einheitskreises vermitteln’, Sitzungsber. Preuss. Akad. Wiss. Phys-Math. Kl. (1916), 940-955.
Goluzin, G.M.: Geometric theory of functions of a complex variable, Transl. Math. Monographs, 26, Amer. Math. Soc., 1969 (translated from the Russian).
Milin, I.M.: Univalent functions and orthonormal systems, Transl. Math. Monographs, 49, Amer. Math. Soc., 1977 (translated from the Russian).
Hayman, W.K.: ‘The asymptotic behaviour of p-valent functions’, Proc. London Math. Soc. (3) 5 (1955), 257–284.
Ozawa, M.: ‘On the Bieberbach conjecture for the sixth coefficient’, Kodai Math. Sem. Rep. 21 (1969), 97–128.
Ozawa, M.: ‘An elementary proof of the Bieberbach conjecture for the sixth coefficient’, Kodai Math. Sem. Rep. 21 (1969), 129–132.
Pederson, R.N. and Schiffer, M.M.: ‘A proof of the Bieberbach conjecture for the fifth coefficient’, Arch. Rat. Mech. and Anal 45 (1972), 161–193.
Fitz Gerald, C.H.: ‘Quadratic inequalities and coefficient estimates for the fifth coefficient’, Arch. Rat. Mech. and Anal 46 (1972), 356–368.
Shirokov, N.A.: ‘On a regularity theorem of Hayman’, J. Soviet Math. 2, no. 6 (1974), 693–710. (Zap. Nauchn. Sem. Leningr. Otd Mat. Inst. Steklov. 24 (1972), 182
Bazilevich, I.E.: Mathematics in the USSR during 40 years: 1917–1957, Vol. 1, Moscow, 1959, pp. 444-472.
Horowitz, D.: ‘A refinement estimate for univalent functions’, Proc. Amer. Math. Soc. 54 (1976), 176–178.
Branges, L. de: ‘A proof of the Bieberbach conjecture’. Preprint E-5-84. Steklov Math. Inst. Leningrad (1984), 1-21.
Branges, L. de: ‘A proof of the Bieberbach conjecture’, Acta Math. 154(1985), 137–152.
Duren, P.L.: Univalent functions, Springer, 1983.
Pommerenke, C.: Univalent functions, Vandenhoeck and Ruprecht, 1975.
Fitz Gerald, C.H. and Pommerenke, C.: ‘The de Branges theorem on univalent functions’, Trans. Amer. Math. Soc. 290 (1985), 683–690.
Bieberbach, L.: ‘Ueber einige Extremalprobleme im Gebiete der konformen Abbildung’, Math. Ann. 77 (1916), 153–172.
Eilenberg, S.: ‘Sur quelques propriétés topologiques de la surface de sphere’, Fund Math. 25 (1935), 267–272.
Rogosinski, W.: ‘On a theorem of Bieberbach—Eilenberg’, J. London Math. Soc (1) 14 (1939), 4–11.
Jenkins, J. A.: Univalent factions and conformai mappings, Springer, 1958.
Jenkins, J.A.: ‘On Bieberbach—Eilenberg functions III’, Trans. Amer. Math. Soc. 119, no. 2 (1965), 195–215.
Lebedev, N.A.: The area principle in the theory of univalent functions, Moscow, 1975 (in Russian).
Duren, P.L.: Univalent functions, Springer, 1983.
Bieberbach, L.: ‘Zur Theorie und Praxis der konformen Abbüdung’, Rend Circ. Mat. Palermo 38 (1914), 98–112.
Keldysh, M.V.: ‘Sur l’approximation en moyenne quadratique des fonctions analytiques’, Mat Sb. 5(47), no. 2 (1939), 391–401.
Mergelyan, S.N.: Some questions of the constructive theory of functions, Moscow, 1951 (in Russian).
Suetin, P.K.: ‘Polynomials orthogonal over a region and Bieberbach polynomials’, Proc. Steklov Inst. Math. 100 (1974). (Trudy Mat. Inst. Steklov. 100 (1971))
Gaier, D.: Vorlesungen über Approximation im Komplexen, Birkhäuser, 1980.
Mitchell, B.: Theory of categories, Acad. Press, 1965.
Krasnosel’skiĭ, M.A.: Topological metods in the theory of nonlinear integral equations, Pergamon, 1964 (translated from the Russian).
Kreĭn, S. (ed.): Functionals analysis, Handbook of Math. Libraries, Moscow, 1964 (in Russian).
Krasnosel’skü, M.A.: Positive solutions of operator equations, Wolters-Noordhoff, 1964 (translated from the Russian).
Vaĭnberg, M.M.: Variational methods for the study of nonlinear operators, Holden-Day, 1964 (translated from the Russian).
Vaĭnberg, M.M. and Trenogin, V.A.: Theory of branching of solutions of non-linear equations, Noordhoff, 1974 (translated from the Russian).
Arnol’d, V.I.: ‘Lectures on bifurcations and versai families’, Russian Math Surveys 27, no. 5 (1972), 54–123. (Uspekhi Mat. Nauk 27, no. 5 (1972), 119-184)
Andronov, A.A., Leontovich, E.A., Gordon, I.I. and Maier, A.G.: Theory of bifurcations of dynamic systems on a plane, Israel Progr. Sci. Transl, 1971 (translated from the Russian).
Gavrilov, N.K. and Shil’nikov, L.P.: ‘On three-dimensional systems close to systems with a structurally unstable homoclinic curve I’, Math USSR-Sb. 17, no. 4 (1972), 467–485. (Mat Sb. 88 (130), no. 4 (1972), 475-492)
Gavrilov, N.K. and Shil’nikov, L.P.: ‘On three-dimensional systems close to systems with a structurally unstable homoclinic curve II’, Math USSR-Sb. 19, no. 1 (1973), 139–156. (Mat. Sb. 90 (132), no. 1 (1973), 139-156)
Peixoto, M.M.: ‘On bifurcations of dynamical systems’, in Proc. Internat. Congress Mathematicians Vancouver, 1974, Vol. 2, Vancouver, 1974, pp. 315-319.
Thom, R.: ‘The bifurcation subset of a space of maps’, in Manifolds, Amsterdam 1970, Springer, 1971, pp. 202-208.
Arnol’d, V.I.: ‘Critical points of smooth functions and their normal form’, Russian Math Surveys 30, no. 5 (1975), 1–75. (Uspekhi Mat. Nauk 30, no. 5 (1975), 3-65)
Bröcker, P. and Lander, L.: Differentiable germs and catastrophes, Cambridge Univ. Press, 1975.
Chow, S.-N. and Hale, J.K.: Methods of bifurcation theory, Springer, 1982.
Salunger, D.H.: Branching in the presence of symmetry, SIAM, 1983.
Tichonoff, A.N. [A.N. Tikhonov] and Samarskiĭ, A.A.: Differentialgleichungen der mathematischen Physik, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Muskhelishvili, N.I.: Some basic problems of the mathematical theory of elasticity, Noordhoff, 1975 (translated from the Russian).
Lavrent’ev, M.A. and Shabat, B.V.: Methoden der komplexen Funktionentheorie, Deutsch. Verlag Wissenschaft., 1967 (translated from the Russian).
Smyrnelis, E.P.: ‘Axiomatique des fonctions biharmoniques’, Ann. Inst. Fourier (Grenoble) 25, no. 1 (1975), 35–97.
Smyrnelis, E.P.: ‘Axiomatique des fonctions biharmoniques’, Ann. Inst. Fourier (Grenoble) 26, no. 3 (1976), 1–47.
Shabat, B.V.: Introduction to complex analysis, 1-2, Moscow, 1976 (in Russian).
Baouendi, M.S., Jacobowttz, H. and Trèves, F.: ‘On the analyticity of CR mappings’, Ann. of Math. 122 (1985), 365–400.
Bell, St.: ‘Biholomorphic mappings and the \(\bar \partial\)problem’, Ann. of Math. 114 (1981), 103–113.
Fefferman, C.: ‘The Bergman kernel and biholomorphic mappings of pseudoconvex domains’, Inv. Math. 26 (1974), 1–65.
Krantz, S.G.: Function theory of several complex variables, Wiley, 1982, Chapt. 10.
Rudin, W.: Function theory in the unit ball of C n, Springer, 1980.
Rudin, W.: Function theory in polydiscs, Benjamin, 1969.
Griffiths, Ph. A.: Entire holomorphic mappings in one and several variables, Princeton Univ. Press, 1976.
Schiffer, M. and Spencer, D.C.: Functionals of finite Riemann surfaces, Princeton Univ. Press, 1954.
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, Chapt. 1; 2 (translated from the French).
Lang, S.: Algebra, Addison-Wesley, 1974.
Artin, E.: Geometric algebra, Interscience, 1957.
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, Chapt. 1; 2 (translated from the French).
Lang, S.: Algebra, Addison-Wesley, 1974.
Vorob’ev, N.N.: ‘Equilibrium points in bimatrix games’, Theory Probab. Appl 3, no. 3 (1958), 297–309. (Teor. Veroyatnost. i Primenen. 3, no. 3 (1958), 318-331)
Kuhn, H.W.: ‘An algorithm for equilibrium points in bimatrix games’, Proc. Nat. Acad. Sci. USA 47 (1961), 1657–1662.
Mills, H.: ‘Equilibrium points in infinite games’, J. Soc. Ind. Appl Math. 8, no. 2 (1960), 397–402.
Mangasarian, O.L.: ‘Equilibrium points of bimatrix games’, J. Soc. Ind. Appl. Math. 12, no. 4 (1964), 778–780.
Lemke, C.E. and Howson, jr., J.T.: ‘Equilibrium points of bimatrix games’, J. Soc. Ind. Appl. Math. 12, no. 2 (1964), 413–423.
Borevich, Z.I. and Shafarevich, I.R.: Number theory, Acad. Press, 1966 (translated from the Russian). German translation: Birkhäuser, 1966.
Gurevich, G.B.: Foundations of algebraic invariant theory, Moscow-Leningrad, 1948 (in Russian).
Landau, E. and Walfisz, A.: Diophantische Gleichungen mit endlich vielen Lösungen, Deutsch. Verlag Wissenschaft, 1959.
Lekkerkerker, C.G.: Geometry of numbers, Wolters-Noordhoff, 1969.
Mordell, LJ.: Diophantine equations, Academic Press, 1969.
Mal’tsev, A.I.: ‘Analytic loops’, Mat Sb. 36(78), no. 3 (1955), 569–575 (in Russian).
Gaĭnov, A.T.: ‘Binary Lie algebras of characteristic two’, Algebra and Logic 8, no. 5 (1969), 287–297. (Algebra i Logika 8, no. 5 (1969), 505-522).
Huppert, B.: Endliche Gruppen, 1, Springer, 1979.
Gauss, C.F.: Disquisitiones arithmeticae, Yale Univ. Press, 1966 (translated from the Latin).
Venkov, B.A.: Elementary number theory, Wolters-Noordhoff, 1970 (translated from the Russian).
Jones, B.W.: The arithmetic theory of quadratic forms, Math. Assoc. Amer., 1950.
Gel’fond, A.O. and Linnik, Yu. V.: Elementary methods in the analytic theory of numbers, M.I.T., 1966 (translated from the Russian).
Landau, E.: Vorlesungen über Zahlentheorie, 3, Hirzel, 1927.
Borevich, Z.I. and Shafarevich, I.R.: Number theory, Acad. Press, 1966 (translated from the Russian). German translation: Birkhäuser, 1966.
O’Meara, O.T.: Introduction to quadratic forms, Springer, 1973.
Korn, G.A. and Korn, T.M.: Mathematical handbook for scientists and engineers, McGraw-Hill, 1968.
Bol’shev, L.N. and Smirnov, N.V.: Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow, 1968 (in Russian). Processed by L.S. Bark and E.S. Kedova.
Table of binomial coefficients, Cambridge, 1954.
Gnedenko, B.V.: The theory of probability, Chelsea, reprint, 1962 (translated from the Russian).
Feller, W.: An introduction to probability theory and its applications, 1-2, Wiley, 1957-1971.
Prohorov, Yu. V. [Yu. V. Prokhorov] and Rozanov, Yu. A.: Probability theory, Springer, 1969 (translated from the Russian).
Prokhorov, Yu. V.: ‘Asymptotic behaviour of the binomial distribution’, Selected Translations in Math. Stat. and Probsb. 1 (1961), Amer. Math. Soc. (Uspekhi Mat. Nauk 8, no. 3 (1953), 135-142)
Bol’shev, L.N. and Smirnov, N.V.: Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow, 1965 (in Russian). Processed by L.S. Bark and E.S. Kedova.
Abel, N.H.: ‘Untersuchungen über die Reihe 1 + m / 2x + m(m−1)/2.1×2 +...’, J. Reine Angew. Math. 1 (1826), 311–339.
Knopp, K.: Theorie und Anwendung der unendlichen Reihen, Springer, 1964. English translation: Blackie, 1951.
Markushevich, A.I.: Theory of functions of a complex variable, 1, Chelsea, reprint, 1977 (translated from the Russian).
Spivak, M.: Differential geometry, 2, Publish or Perish, 1970.
Madelung, E.: Die mathematischen Hilfsmittel des Physikers, Springer, 1957.
Veblen, O. and Whitehead, J.H.C.: The foundations of differential geometry, Cambridge Univ. Press, 1932.
Algebraic surfaces, Moscow, 1965 (in Russian).
Manin, Yu.N.: Cubic forms. Algebra, geometry, arithmetic, North-Holland, 1974 (translated from the Russian).
Roth, L.: Algebraic threefolds, Springer, 1955.
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1977 (translated from the Russian).
Baldassarri, M.: Algebraic varieties, Springer, 1956.
Dolgachev, I.V. and Iskovskikh, V.A.: ‘The geometry of algebraic varieties’, J. Soviet Math. 5, no. 6 (1976), 803–864. (Itogi Nauk. i Tekhn. Algebra Topol. Geom. 12 (1974), 77-170)
J. Soviet Math. 13, no. 6 (1980). (Itogi Nauk. i Tekhn. Sovrem. Probl. Mat. 12 (1979))
Iitake, S.: Algebraic geometry, Springer, 1982.
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Conte, A. (ed.): Algebraic threefolds, Lect. Notes in Math., Vol. 947, Springer, 1982.
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1977 (translated from the Russian).
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Grothendieck, A. and IDieudonné, J.: ‘Eléments de géometrie algébrique’, Publ. Math. IHES 8 (1960).
Shafarevich, I.R.: Lectures on minimal models and birational transformations of two-dimensional schemes, Tata Inst. Fundam. Res., 1966.
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1977 (translated from the Russian).
Hartshorne, R.: Algebraic geometry, Springer, 1977.
Iskovskikh, V.A.: ‘Birational automorphisms of three-dimensional algebraic varieties’, J. Soviet Math. 13, no. 6 (1960), 815–868. (Itogi Nauk. i Tehhn. Sovrem. Probl. Mat. 12 (1979), 159-239)
Birkhoff, G.D.: ‘Proof of the ergodic theorem’, Proc. Nat. Acad. Sci. USA 17 (1931), 656–660.
Katok, A.B., Sinai, Ya.G. and Stepin, A.M.: ‘Theory of dynamical systems and general transformation groups with invariant measure’, J. Soviet Math. 7, no. 6 (1977), 974–1065. (Itogi Nauk. i Tekhn. Mat. Analiz 13 (1975), 129-262)
Krengel, U.: Ergodic theorems, W. de Gruyter, 1985.
Peterson, K.: Ergodic theory, Cambridge Univ. Press, 1983.
Poincaré, H.: ‘Sur les groupes continus’, Trans. Cambr. Philos. Soc. 18 (1900), 220–225.
Witt, E.: ‘Treue Darstellung Liescher Ringe’, J. Reine Angew. Math. 177 (1937), 152–160.
Birkhoff, G.D.: ‘Representability of Lie algebras and Lie groups by matrices’, Ann. of Math. (2) 38, no. 2 (1937), 526–532.
Lazard, M.: ‘Sur les algèbres enveloppantes universelles de certain algèbres de Lie’, C.R. Acad. Sci. Paris Sér. I Math. 234 (1952), 788–791.
Shirshov, A.I.: ‘On representations of Lie rings in associative rings’, Uspekhi Mat. Nauk 8, no. 5 (1953), 173–175 (in Russian).
Cohn, P.M.: Universal algebra, Reidel, 1981.
Kurosh, A.G.: Lectures on general algebra, Chelsea, 1963 (translated from the Russian).
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965 (translated from the French).
Cartan, H. and Eilenberg, S.: Homological algebra, Princeton Univ. Press, 1956.
Feller, W.: An introduction to probability theory and its applications, 1-2, Wiley, 1957–1971.
Sewastyanow, B.A. [B.A. Sevast’yanov]: Verzweigungsprozesse, Akad. Wissenschaft. DDR, 1974 (translated from the Russian).
Saaty, R.L.: Elements of queueing theory with applications, McGraw-Hill, 1961.
Athreya, K.B. and Ney, P.E.: Branching processes, Springer, 1972.
Bitsadze, A.V.: ‘On the uniqueness of the solution of the Dirichlet problem for elliptic partial differential operators’, Uspekhi Mat. Nauk. 3, no. 6 (1948), 211–212 (in Russian).
Bitsadze, A.V.: Boundary value problems for second-order elliptic equations, North-Holland, 1968 (translated from the Russian).
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Bers, L., John, F. and Schechter, M.: Partial differential equations, Interscience, 1964.
Schouten, J.A.: Tensor analysis for physicists, Cambridge Univ. Press, 1951.
Cartan, E.: Geometry of Riemannian spaces. (With notes and appendices by R. Hermann), Math. Sci. Press, 1983 (translated from the French).
Golab, S.: Tensor calculus, Elsevier Sci. Publ. (translated from the Polish).
Rashewski, P.K. [P.K. Rashevskiĭ]: Riemannsche Geometrie und Tensoranalyse, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Petrov, A.Z.: New methods in general relativity theory, Moscow, 1966 (in Russian).
Norden, A.P.: ‘On complex representation of tensors of a biplanar space’, Kazan. Gos. Univ. Uchen. Zap. 114 (1954), 45–53 (in Russian).
Cartan, E.: Geometry of Riemannian spaces. (With notes and appendices by R. Hermann), Math. Sci. Press, 1963 (translated from the French).
Golab, S.: Tensor calculus, Elsevier Sci. Publ., 1974 (translated from the Polish).
Rashewski, P.K. [P.K. Rashevskiĭ]: Riemannsche Geometrie und Tensoranalyse, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Schouten, J.A.: Ricci-calculus, Springer, 1954.
Bach, R.: ‘Zur Weylschen Relativitätstheorie und der Weylschen Erweiterung des Krümmungsbegriffs’, Math. Zeitschr. 9 (1921), 110–135.
Björling, E.G.: Arch. Grunert IV (1844), 290.
Darboux, G.: Leçons sur la theorie génerale des surfaces et ses applications géometriques du calcul infinitesimal, 1, Gauthier-Villars, 1887.
Blaschke, W.: Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie, 1, Springer, 1921.
Nitsche, J.C.C.: Vorlesungen über Minimalflächen, Springer, 1975.
Blaschke, W.: ‘Eine Erweiterung des Satzes von Vitali über Folgen analytischer Funktionen’, Berichte Math.-Phys. Kl., Sächs. Gesell. der Wiss. Leipzig 67 (1915), 194–200.
Priwalow, I.I. [I.I. Privalov]: Randeigenschaften analytischer Funktionen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Nevanlinna, R.: Analytic Junctions, Springer, 1970 (translated from the German).
Collingwood, E.F. and Lohwater, A.J.: The theory of cluster sets, Cambridge Univ. Press, 1966.
Dzhrbashyan, M.M.: Integral transforms and representation of functions in a complex domain, Moscow, 1966 (in Russian).
Dzhrbashyan, M.M.: ‘The theory of factorization and boundary properties of functions meromorphic in a disc’, Russian Math. Surveys 28, no. 4 (1973), 1–12. (Uspekhi Mat. Nauk 28, no. 4 (1973), 3-14)
Kas’yanyuk, S.A.: ‘On functions of classes A and Hδ in an annulus’, Mat. Sb. 42(84), no. 3 (1957), 301–326 (in Russian).
Tamrazov, P.M.: ‘Conformal-metric theory of doubly connected domains and the generalized Blaschke product’, Soviet Math. Dokl. 6, no. 2 (1965), 432–435. (Dokl. Akad. Nauk SSSR 161, no. 2 (1965), 308-311)
Duren, P.L.: Theory of H p spaces, Acad. Press, 1970.
Rudin, W.: Real and complex analysis, McGraw-Hill, 1974.
Garnett, J.B.: Bounded analytic functions, Acad. Press., 1981.
Blaschke, W.: Kreis und Kugel, Chelsea, reprint, 1949.
Kelly, P.J. and Weiss, M.L.: Geometry and convexity, Wiley, 1979.
Blaschke, W.: ‘Ein Beweis für die Unverbiegbarkeit geschlossener konvexer Flächen’, Gött. Nachr. (1912), 607-610.
Weyl, H.: ‘Ueber die Starrheit der Eiflächen und konvexer Polyeder’, Sitzungsber. Akad Wiss. Berlin (1917), 250-266. Also: Gesammelte Abh., Vol. 1, Springer, 1968, pp. 646-662.
Efimov, N.V.: ‘Qualitative problems in the theory of deformations of surfaces’, Uspekhi Mat. Nauk 3, no. 2 (24) (1948), 47–158 (in Russian). Translated into German as book.
Blaschke, W.: Einführung in die Differentialgeometrie, Springer, 1950.
Bloch, A.: ‘Les théorèmes de M. Valiron sur les fonctions entières et la théorie de l’uniformisation’, Ann. Fac. Sci. Univ. Toulouse (3) 17 (1925), 1–22.
Ahlfors, L.V. and Grunsky, H.: ‘Ueber die Blochsche Konstante’, Math. Z. 42 (1937), 671–673.
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Heins, M.: Selected topics in the classical theory of functions of a complex variable, Holt, Rinehart and Winston, 1962.
Ryser, H.J.: Combinatorial mathematics, Wiley, 1963.
Hall, M.: Combinatorial theory, Blaisdell, Waltham (MA), 1967.
Shirokova, S.A.: ‘Block designs’, Russian Math. Surveys 23, no. 5 (1968), 47–94. (Uspekhi Mat. Nauk 23, no. 5 (1968), 51-98)
Naĭmark, M.A.: Normed rings, Reidel, 1984 (translated from the Russian).
Halmos, P.R.: A Hilbert space problem book, Springer, 1982.
Karlin, S.: Mathematical methods and theory in games, programming and economics, Addison-Wesley, 1959.
Bochner, S.: ‘Beiträge zur Theorie der fastperiodischen Funktionen I, Funktionen einer Variablen’, Math. Ann. 96 (1927), 119–147.
Levitan, B.M.: Almost-periodic functions, Moscow, 1953 (in Russian).
Maak, W.: Fastperiodische Funktionen, Springer, 1967.
Amerio, L. and Prouse, G.: Almost-periodic functions and functional equations, v. Nostrand, 1971.
Bochner, S.: ‘Integration von Funktionen, deren Werte die Elemente eines Vektorraumes sind’, Fund. Math. 20 (1933), 262–276.
Hildebrandt, T.H.: ‘Integration in abstract spaces’, Bull. Amer. Math. Soc. 59 (1953), 111–139.
Yosida, K.: Functional analysis, Springer, 1980.
Hille, E. and Phillips, R.: Functional analysis and semigroups, Amer. Math. Soc., 1957.
Dunford, N. and Schwartz, J.T.: Linear operators. General theory, 1, Interscience, 1958.
Diestel, J. and Uhl, J.J.: Vector measures, Math. Surveys, 15, Amer. Math. Soc., 1977.
Zaanen, A.C.: Integration, North-Holland, 1967.
Bourbaki, N.: Elements of mathematics. Integration, Addison-Wesley, 1975, Chapt.6; 7; 8 (translated from the French).
Mikusinski, J.: The Bochner integral, Academic Press, 1978.
Bochner, S.: ‘Analytic and meromorphic continuation by means of Green’s formula’, Ann. of Math. (2) 44, no. 4 (1943), 652–673.
Martinelli, E.: Rend. Accad. Ital. 9 (1938), 269–283.
Vladimirov, V.S.: Methods of the theory of functions of several complex variables, M.I.T., 1966 (translated from the Russian).
Krantz, S.: Function theory of several complex variables, Wiley, 1982.
Henkin, G.M. and Leiterer, J.: Theory of functions on complex manifolds, Birkhäuser, 1984.
Range, R.M.: Holomorphic functions and integral representations in several complex variables, Springer, 1986.
Bogolyubov, N.N.: ‘Problems of the dynamical theory in statistical physics’, in J. de Boer and G.E. Uhlenbeck (eds.): Studies in statistical mechanics, Vol. 1, North-Holland, 1961.
Uhlenbeck, G.E. and Ford, G.V.: Lectures in statistical mechanics, Amer. Math. Soc., 1963.
Bogolyubov, jr., N.N.: ‘On model dynamical systems in statistical mechanics’, Physica 32 (1966), 933–944.
Bogolyubov, jr., N.N.: A method for studying model Hamiltonians, Pergamon Press, 1972 (translated from the Russian).
Tyablikov, S.V.: Methods of the quantum theory of magnetism, Plenum Press, 1967 (translated from the Russian).
Kudrin, L.P.: Statistical plasma physics, Moscow, 1974 (in Russian).
Ruskai, M.B.: ‘Inequalities for traces on von Neumann algebras’, Comm. Math. Phys. 26 (1972), 280–289.
Araki, H.: ‘Golden-Thompson and Peierls-Bogolyubov inequalities for a general von Neumann algebra’, Comm. Math. Phys. 34 (1973), 167–178.
Ruelle, D.: Statistical mechanics: rigorous results, Benjamin, 1974.
Bogolyubov, N.N. and Shirkov, D.V.: Introduction to the theory of quantized fields, Interscience, 1959 (translated from the Russian).
Vladimirov, V.S.: Methods of the theory of functions of several complex variables, M.I.T., 1966 (translated from the Russian).
Martineau, A.: ‘Distributions et valeurs au bord des fonctions holomorphes’, in Theory of distributions. Proc. internat. summer inst., Lisbon, 1964, pp. 193-326.
Komatsu, H. (ed.): Hyperfunctions and pseudodifferential equations. Proc. Conf. Katata, 1971, Springer, 1973.
Rudin, W.: Lectures on the edge-of-the-wedge theorem, Amer. Math. Soc., 1971.
Bedford, E: ‘Holomorphic continuation at a totally real edge’, Math. Ann. 230 (1977), 213–225.
Bogolyubov, N.N.: Selected works, Vol. 3, Kiev, 1970 (in Russian).
Sadovnikov, B.I. and Fedyanin, V.K.: ‘N.N. Bogoljubov’s inequalities in systems of many interacting particles with broken symmetry’, Teoret. Mat. Fiz. 16, no. 3 (1973), 368–393 (in Russian). English abstract.
Bogolyubov, jr., N.N. and Sadovnikov, B.I.: Some questions in statistical mechanics, Moscow, 1975 (in Russian).
Goldstone, J.: ‘Field theories with ‘superconductor’ solutions’, Nuovo Cimento (10) 19 (1961), 154–164. Italian abstract
Goldstone, J., Salam, A. and Weinberg, S.: ‘Broken symmetries’, Phys. Rev. (2) 127 (1962), 965–970.
Kazanskiĭ, A.K.: Teoret. Mat. Fiz. 22, no. 3 (1975), 418–421.
Bohl, P.: Über die Darstellung von Funktionen einer Variabein durch trigonometrische Reihen mit mehreren einer Variabein proportionalen Argumenten, Dorpat, 1893. Thesis.
Bohl, P.: ‘Ueber eine Differentialgleichung der Störungstheorie’, J. Reine Angew. Math. 131 (1906), 268–321.
Levitan, B.M.: Almost-periodic functions, Moscow, 1953 (in Russian).
Bohr, H.: Almost periodic functions, Chelsea, 1947 (translated from the German).
Bohr, H.: ‘Zur Theorie der fastperiodischen Funktionen I’, Acta Math. 45 (1925), 29–127.
Levitan, B.M.: Almost-periodic functions, Moscow, 1953 (in Russian).
Bohr, H.: Almost periodic functions, Chelsea, 1947 (translated from the German).
Corduneanu, C.: Almost periodic functions, Wiley, 1968.
Loomis, L.H.: An introduction to abstract harmonic analysis, v. Nostrand, 1953.
Alfsen, E.M. and Holm, P.: ‘A note on compact representations and almost periodicity in topological groups’, Math. Scand. 10 (1962), 127–136.
Berglund, J.F., Junghenn, H.D. and Miles, P.: Compact right topological semigroups and generalizations of almost periodicity, Springer, 1978.
Bohr, H.: ‘Un théorème général sur l’intégration d’un polynôme trigonométrique’, C.R. Acad. Sci. Paris Sér. I Math. 200 (1935), 1276–1277.
Favard, J.: ‘Sur les meilleurs procédés d’approximation de certaines classes des fonctions par des polynômes trigonométriques’, Bull. Sci. Math. (2) 61 (1937), 209–224; 243-256.
Ahiezer, N.I. [N.I. Akhiezer]: Vorlesungen über Approximationstheorie, Akademie-Verlag, 1953 (translated from the Russian).
Boks, T.J.: ‘Sur les rapports entre les méthodes de l’intégration de Riemann et de Lebesque’, Rend. Circ. Mat. Palermo (2) 45 (1921), 211–264.
Zygmund, A.: Trigonometric series, 1-2, Cambridge Univ. Press, 1979.
Boltzmann, L.: Lectures on gas theory, Univ. of California Press, Berkeley, 1964.
Bogolyubov, N.N.:’ selected works’, Vol. 2, Kiev, 1970 (in Russian).
Chapman, S. and Cowling, T.G.: The mathematical theory of non-uniform gases, Cambridge Univ. Press, 1939.
Cercignani, C.: Theory and application of the Boltzmann equation, Scottish Acad. Press, 1975.
Cercignani, C. (ed.): Kinetic theories and the Boltzmann equation, Springer, 1984.
Carleman, T.: Problème mathématique de la theorie kinétique des gases, 1960 (in Russian; translated from the French).
Arsen’ev, A.A.: ‘The Cauchy problem for the linearized Boltzmann equation’, USSR Comput. Math. Math. Phys. 5, no. 5 (1965), 116–136. (Zh. Vychisl. Mat. i Mat. Fiz. 5, no. 5 (1965), 864-882)
Cercignani, C.: Theory and application of the Boltzmann equation, Scottish Acad. Press, 1975.
Kinetic theories and the Boltzmann equation, Springer, 1984.
Sommerfeld, A.: Thermodynamics and statistical mechanics, Academic Press, 1956 (translated from the German).
Uhlenbeck, G.E. and Ford, G.V.: Lectures in statistical mechanics, Amer. Math. Soc., 1963.
Mayer, J.E. and Goeppert-Mayer, M.: Statistical mechanics, Wiley, 1940.
Sommerfeld, A.: Thermodynamics and statistical mechanics, Academic Press, 1956 (translated from the German).
Schrödinger, E.: Statistical thermodynamics, Cambridge Univ. Press, 1948.
Fowler, R. and Guggenheim, E.: Statistical thermodynamics, Cambridge Univ. Press, 1960.
Buss, G.A.: Lectures on the calculus of variations, Chicago Univ. Press, 1947.
Bolzano, B.: Abh. Biochem. Ges. Wiss. (1917).
Bonnesen, T.: ‘Ueber eine Verschärferung der isoperimetische Ungleichheit des Kreises in der Ebene und auf die Kugeloberfläche nebst einer Anwendung auf eine Minkowskische Ungleichheit für konvexe Körper’, Math. Ann. 84 (1921), 216–227.
Diskant, V.I.: ‘A generalization of Bonnesen’s inequalities’, Soviet Math. Dokl. 14, no. 6 (1973), 1728–1731. (Dokl. Akad. Nauk SSSR 213, no. 3 (1973), 519-521)
Blaschke, W. and Leichtweiß, K.: Elementare Differentialgeometrie, Springer, 1973.
Carmo, M. do: Differential geometry of curves and surfaces, Prentice-Hall, 1976.
Bonnet, O.: J. École Polytechnique 24 (1865), 204–230.
Bonnet, O.: J. École Polytechnique 25 (1867), 1–151.
Bonnet, O.: ‘Rémarques sur quelques intégrales définies’, J. Math. Pures Appl. 14 (1849), 249–256.
Bonnet, O.: C.R. Acad. Sci. Paris 40 (1855), 1311–1313.
Boole, G.: The mathematical analysis of logic: being an essay towards a calculus of deductive reasoning, Macmillan, 1847.
Boole, G.: An investigation of the laws of thought, on which are founded the mathematical theories of logic and probabilities, Dover, reprint, 1951.
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.
Rasiowa, E. and Sikorski, R.: The mathematics of metamathematics, Polska Akad. Nauk, 1963.
Stone, M.H.: ‘The theory of representations for Boolean algebras’, Trans. Amer. Math. Soc. 40 (1936), 37–111.
Birkhoff, G.D.: Lattice theory, Colloq. Publ., 25, Amer. Math. Soc., 1973.
Hermes, H.: Einführung in die Verbandstheorie, Springer, 1967.
Kolmogorov, A.N.: ‘Algèbres de Boole metriques complètes’, in VI Zjazd Matematykow Polskich, Krakow, 1950.
Dunford, N. and Schwartz, J.T.: Linear operators. Spectral operators, 3, Interscience, 1971.
Kakutani, S.: ‘Concrete representations of abstract (L)-spaces and the mean ergodic theorem’, Ann. of Math. (2) 42, no. 2 (1941), 523–537.
Kakutani, S.: ‘Concrete representations of abstract (M)-spaces (a characterization of the space of continuous functions)’, Ann. of Math. (2) 42, no. 4 (1941), 994–1024.
Maharam, D.: Proc. Nat. Acad Sci. USA 28 (1942), 108–111.
Mackey, G.W.: The mathematical foundations of quantum mechanics, Benjamin, 1963.
Yosida, K.: Functional analysis, Springer, 1980.
Kuratowski, K.: Topology, 2, Acad. Press, 1966–1968 (translated from the French).
Birkhoff, G.: Lattice theory, Colloq. Publ., 25, Amer. Math. Soc., 1973.
Novikov, P.S.: Elements of mathematical logic, Edinburgh, 1964 (translated from the Russian).
Yablonskiĭ, S.V., Gavrilov, G.P. and Kudryavtsev, V.B.: Functions of the algebra of logic and Post classes, Moscow, 1964 (in Russian).
Hammer, P.L. and Rudeanu, S.: Boolean methods in operations research, Springer, 1968.
Rudeanu, S.: Boolean functions and equations, North-Holland, 1974.
Glagolev, V.V.: ‘Certain estimates of the disjunctive normal forms of functions of the algebra of logic’, Problemy Kibernet. 19 (1967), 75–94 (in Russian).
Zhuravlev, Yu.I.: ‘On algorithmic extraction of the set of essential variables of not everywhere defined functions of the algebra of logic’, Problemy Kibernet. 11 (1964), 271–275 (in Russian).
Korobkov, V.K.: ‘On monotone functions of the algebra of logic’, Problemy Kibernet. 13 (1965), 5–28 (in Russian).
Sapozhenko, A.A.: ‘Metric properties of almost all functions of the algebras of logic’, Diskret. Anal. 10 (1967), 91–119 (in Russian).
Sapozhenko, A.A.: ‘The order of the neighbourhood of maximal intervals for almost all logical functions’, Soviet Math. Dokl. 9, no. 3 (1968), 591–594. (Dokl. Akad. Nauk SSSR 180, no. 1 (1968), 32-35)
Klettman, D.J.: ‘On Dedekind’s problem: the number of monotone Boolean functions’, Proc. Amer. Math. Soc. 21 (1969), 677–682.
Yablonskiĭ, S.V.: ‘Functional constructions in k-placed logic’, Trudy Mat. Inst. Steklov. 51 (1958), 5–142 (in Russian).
Zhuravlev, Yu.I.: ‘Set-theoretical methods in the algebra of logic’, Problemy Kibernet. 8 (1962), 5–44 (in Russian).
Quine, W.V.: ‘On cores and prime implicants of truth functions’, Amer. Math. Monthly 66 (1959), 755–760.
Vasil’ev, Yu.L.: ‘On comparing the complexity of typical and disjunctive normal forms’, Problemy Kibernet. 10 (1963), 5–61 (in Russian).
Glagolev, V.V.: ‘Certain estimates of the disjunctive normal forms of functions of the algebra of logic’, Problemy Kibernet. 19 (1967), 75–94 (in Russian).
Korshunov, A.D.: ‘The upper complexity bound of the shortest disjunctive normal forms of almost all Boolean functions’, Cybernetics 5, no. 6 (1969), 705–715. (Kibernetika (Kiev), no. 6 (1969), 1-8)
Sapozhenko, A.A.: ‘On the greatest length of a dead-end disjunctive normal form for almost all Boolean functions’, Math. Notes 4, no. 6 (1968), 881. (Mat. Zametki 4, no. 6 (1968), 649-658)
Stone, M.H.: ‘The theory of representations for Boolean algebras’, Trans. Amer. Math. Soc. 40 (1936), 37–111.
Zhegalkin, I.I.: ‘On the technique of computation of propositions in symbolic logic’, Mat. Sb. 34, no. 1 (1927), 9–28 (in Russian). French abstract.
Vladimirov, D.A.: Boolesche Algebren, Akademie Verlag, 1978 (translated from the Russian).
Sikorski, R.: Boolean algebras, Springer, 1969.
Rudeanu, S.: Boolean functions and equations, North-Holland, 1974.
Rasiowa, E. and Sikorski, R.: The mathematics of metamathematics, Polska Akad. Nauk, 1963.
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.
Manin, Yu.I.: ‘The problem of the continuum’, J. Soviet Math. 5, no. 4 (1976), 451–502. (Itogi Nauk. i Tekhn. Sovrem. Problemy 5 (1975), 5-73)
Bell, J.L.: Boolean-valued models and independence proofs in set theory, Clarendon Press, 1977.
Jech, T.J.: Set theory, Acad. Press, 1978.
Kunen, K.: Set theory, North-Holland, 1980.
Booth, J.: A treatise on some new geometrical methods, 1-2, London, 1873–1877.
Savelov, A.A.: Plane curves, Moscow, 1960, pp. 144-146 (in Russian).
Voevodin, V.V.: Numerical methods of algebra, Moscow, 1966 (in Russian).
Faddeev, D.K. and Faddeeva, V.N.: Computational methods of linear algebra, Freeman, 1963 (translated from the Russian).
Westlake, J.R.: A handbook of numerical matrix inversion and solution of linear equations, Wiley, 1968, Sect. 2.6.
Bartlett, M.S.: ‘An inverse matrix adjustment arising in discriminant analysis’, Ann. Math. Stat. 22 (1951), 107–111.
Sherman, J.: Computations relating to inverse matrices, Appl. Math., 29, Nat. Bur. Standards, 1953, pp. 123-124.
Sherman, J. and Morrison, W.J.: ‘Adjustments of an inverse matrix corresponding to changes in the elements of a given column or a given row of the original matrix’, Ann. Math. Stat. 20 (1949), 621.
Woodbury, M.: ‘Inverting modified matrices’, Memorandum Report Stat. Res. Group Princeton 42 (1950).
Golub, G.H. and Loan, C.F. van: Matrix computations, North Oxford Acad., 1983.
Householder, A.S.: Principles of numerical analysis, McGraw-Hill, 1953.
Smirnov, Yu.M.: ‘On the dimensions of remainders of compactifications of proximity and topological spaces’, Mat. Sb. 71, no. 4 (1966), 482–554 (in Russian).
Pontryagin, L.S.: ‘Characteristic cycles of differentiable manifolds’, Mat. Sb. 21(63), no. 2 (1947), 233–284 (in Russian).
Pontryagin, L.S.: Smooth manifolds and their applications in homology theory, Moscow, 1976 (in Russian).
Rokhlin, V.A.: ‘Theory of inner homology’, Uspekhi Mat. Nauk 14, no. 4 (1959), 3–20 (in Russian).
Wallace, A.H.: Differentiable topology. First steps, Benjamin, 1968.
Milnor, J.W.: Topology from the differentiable viewpoint, Univ. Press of Virginia, 1965.
Thom, R.: ‘Quelques propriétés globales des variétés différentiables’, Comm. Math. Helvetia 28 (1954), 17–86.
Milnor, J.W. and Stasfeff, J.D.: Characteristic classes, Princeton Univ. Press & Univ. of Tokyo Press, 1974.
Dold, A.: ‘Erzeugende der Thomschen Algebra R’, Math. Z. 65 (1956), 25–35.
Milnor, J.: ‘On the cobordism ring Ω* and a complex analogue I’, Amer. J. Math. 82 (1960), 505–521.
Novikov, S.P.: ‘Homotopic properties of Thorn-complexes’, Mat. Sb. 57(99) (1962), 406–442 (in Russian).
Conner, P.E. and Floyd, E.E.: Differentiable periodic maps, Springer, 1964.
Stong, R.E.: Notes on cobordism theory, Princeton Univ. Press, 1968.
Milnor, J.: Lectures on the h-cobordism theorem, Princeton Univ. Press, 1965.
Atiyah, M.F.: ‘Bordism and cobordism’, Proc. Cambridge Philos. Soc. (2) 57 (1961), 200–208.
Baas, N.A.: ‘On bordism theory of manifolds with singularities’, Math. Scand. 33 (1973), 279–302.
Baas, N.A.: ‘On formal groups and singularities in complex bordism theory’, Math. Scand. 33 (1973), 302–313.
Borel, E.: ‘Les probabilités dénombrables et leurs applications arithmetique’, Rend Circ. Mat. Palermo (2) 27 (1909), 247–271.
Cantelli, F.P.: ‘Sulla probabilità come limite della frequenza’, Atti Accad. Naz. Lincei 26, no. 1 (1917), 39–45.
Loève, M.: Probability theory, Princeton Univ. Press, 1963.
Feller, W.: An introduction to probability theory and its applications, 1, Wiley, 1957.
Borel, A.: ‘Groupes linéaires algébriques’, Ann. of Math. (2) 64, no. 1 (1956), 20–82.
Borel, A.: Linear algebraic groups, Benjamin, 1969.
Morozov, V.V.: Dokl. Akad. Nauk SSSR 36, no. 3 (1942), 91–94.
Halmos, P.R.: Measure theory, v. Nostrand, 1950.
Hausdorff, F.: Set theory, Chelsea, reprint, 1978.
Kuratowski, K.: Topology, Acad. Press, 1966–1968 (translated from the French).
Kolmogorov, A.N.: Foundations of the theory of probability, Chelsea, reprint, 1950 (translated from the Russian).
Borel, E.: Leçons sur la théorie des fonctions, Gauthier-Villars, 1928.
Rudin, W.: Principles of mathematical analysis, McGraw-Hill, 1953.
Varadarajan, V.S.: ‘Measures on topological spaces’, Transl. Amer. Math. Soc. Ser. 2 48 (1965), 161–228. (Mat. Sb. 55 (97), no. 1 (1961), 35-100)
Halmos, P.R.: Measure theory, v. Nostrand, 1950.
Neveu, J.: Bases mathématiques du calcul des probabilités, Masson, 1970.
Royden, H.L.: Real analysis, Macmillan, 1968.
Zaanen, A.C.: Integration, North-Holland, 1967.
Rudin, W.: Principles of mathematical analysis, McGraw-Hill, 1953.
Rudin, W.: Real and complex analysis, McGraw-Hill, 1966.
Taylor, A.E.: General theory of functions and integration, Blaisdell, 1965.
Aliprantz, C.D. and Burleinshaw, O.: Principles of real analysis, North-Holland, 1981.
Borel, E.: Leçons sur les fonctions discontinues, Gauthier-Villars, 1898.
Kuratowski, K.: Topology, Acad. Press, 1966–1968 (translated from the French).
Hausdorff, F.: Set theory, Chelsea, reprint, 1978.
Aleksandrov, P.S.: Einführung in die Mengenlehre und die Theorie der reelen Funktionen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Kuratowski, K.: Introduction to set theory and topology, Pergamon, 1961.
Kuratowski, K.: Topology, 1, Acad. Press, 1966 (translated from the French).
Hausdorff, F.: Set theory, Chelsea, reprint, 1978 (translated from the German).
Moschovakis, Y.: Descriptive set theory, North-Holland, 1980.
Borel, E.: ‘Les probabilités dénombrables et leurs applications arithmetique’, Rend. Circ. Mat. Palermo (2) 27 (1909), 247–271.
Kac, M.: Statistical independence in probability, analysis and number theory, Math. Assoc. Amer., 1963.
Borel, A.: ‘Groupes linéaires algébriques’, Ann. of Math. (2) 64, no. 1 (1956), 20–82.
Borel, A. and Tits, J.: ‘Groupes réductifs’, Publ. Math. IHES 27 (1965), 55–150.
Borel, E.: ‘Mémoire sur les séries divergentes’, Ann. Sci. École Norm. Sup. (3) 16 (1899), 9–131.
Hardy, G.H.: Divergent series, Clarendon, 1949.
Beekmann, W. and Zeller, K.: Theorie der Limitierungsverfahren, Springer, 1970.
Borel, E.: Leçons sur les séries divergentes, Gauthier-Villars, 1928.
Dzhrbashyan, M.M.: Integral transforms and representation of functions in a complex domain, Moscow, 1966 (in Russian).
Boas, R.P.: Entire functions, Acad. Press, 1954.
Borsuk, K.: ‘Drei Sätze über die n — dimensionale euklidische Sphäre’, Fund. Math. 20 (1933), 177–190.
Grünbaum, B.: Borsuk’s problem and related questions, Proc. Symp. Pure Math., 7, Amer. Math. Soc., 1963, pp. 271-284.
Boltyanskiĭ, V.G.: ‘On decomposition of plane figures in parts of least diameter’, Colloq. Math. 21, no. 2 (1967), 253–263 (in Russian).
Boltyanskiĭ, V.G. and Gokhberg, I.Ts.: Sätze und Probleme der Kombinatorische Geometrie, Deutsch. Verlag Wissenschaft., 1972 (translated from the Russian).
Huang, K.: Statistical mechanics, New York, 1963.
Kubo, R.: Statistical mechanics, North-Holland, 1967.
Landau, L.D. and Lifshitz, E.M.: Statistical physics, Pergamon, 1980 (translated from the Russian).
Schrödinger, E.: Statistical thermodynamics, Cambridge Univ. Press, 1948.
Bogolyubov, N.N.: Lectures on quantum statistics, Gordon and Breach, 1967 (translated from the Russian).
Bott, R.: ‘The stable homotopy of the classical groups’, Ann. of Math. (2) 70, no. 2 (1959), 313–337.
Milnor, J.: Morse theory, Princeton Univ. Press, 1963.
Atiyah, M.F.: K-theory: lectures, Benjamin, 1967.
Husemoller, D.: Fibre bundles, McGraw-Hill, 1966.
Moore, J.C.; ‘On the periodicity theorem for complex vector bundles’, in Sem. H. Cartan, 1959–1960.
Atiyah, M.F, and Bott, R.: ‘On the periodicity theorem for complex vector bundles’, Acta Math. 112 (1964), 229–247.
Bott, R.: Lectures on K(X), Benjamin, 1969.
Karoubi, M.: K-theory, Springer, 1978.
Lavrent’ev, M.A. and Shabat, B.V.: Methoden der komplexen Funktionentheorie, Deutsch. Verlag Wissenschaft., 1967 (translated from the Russian).
Kudryavtsev, L.D.: ‘On differentiate mappings’, Dokl. Akad. Nauk SSSR 95, no. 5 (1954), 921–923 (in Russian).
Pinchuk, S.I.: ‘Holomorphic equivalence of certain classes of domains in Cn’, Math. USSR-Sb. 111(153), no. 1 (180), 67–94; 159. (Mat. Sb. 111(153), no. 1 (1980), 67-94; 159)
Myshkis, A.D. and Suvorov, G.D.: ‘Conformally-invariant bicompact extensions of a plane simply-connected domain’, Soviet Math. Dokl. 14 (1973–1974), 1488–1491. (Dokl. Akad. Nauk SSSR 212 (1973), 822-824)
Carathéodory, C.: ‘Über die Begrenzung einfach zusammenhängender Gebiete’, Math. Ann. 73 (1913), 323–370.
Suvorov, G.D.: ‘Prime ends of a sequence of plane regions converging to a nucleus’, Amer. Math. Soc. Transl. Ser. 2 1 (1955), 67–93. (Mat. Sb. 33 (75) (1953), 73-100)
Markushevich, A.I.: Theory of functions of a complex variable, 1-3, Chelsea, 1965–1977 (translated from the Russian).
Collingwood, E.F. and Lohwater, A.J.: The theory of cluster sets, Cambridge Univ. Press, 1966.
Suvorov, G.D.: Families of plane topological mappings, Novosibirsk, 1965 (in Russian).
Suvorov, G.D.: Metric theory of prime ends and boundary properties of plane mappings with bounded Dirichlet integrals, Kiev, 1981 (in Russian).
Ivanov, O.V. and Suvorov, G.D.: Complete lattices of conformally-invariant compactifications of a domain, Kiev, 1982 (in Russian).
Ahlfors, L.V.: Conformal invariants, McGraw-Hill, 1973.
Ohtsuka, M.: Dirichlet problem, extremal length and prime ends, van Nostrand Reinhold, 1970.
Pommerenke, C.: Univalent functions, Vandenhoeck and Ruprecht, 1975.
Basener, R.: ‘A generalized Shilov boundary and analytic structure’, Proc. Amer. Math. Soc. 47, no. 1 (1975), 98–104.
Browder, A.: Introduction to function algebras, Benjamin, 1969.
Gamelin, T.W.: Uniform algebras, Prentice-Hall, 1969.
Gelfand, I.M. [I.M. Gel’fand], Raikov, D.A. [D.A. Raĭkov] and Schilow, G.E. [G.E. Shilov]: Kommutative Normierte Ringe, Deutsch. Verlag Wissenschaft., 1964 (translated from the Russian).
Gonchar, A.A.: ‘The minimal boundary of the algebra A(E)’, Izv. Akad. Nauk SSSR Ser. Mat. 27, no. 4 (1963), 949–955 (in Russian).
Phelps, R.R.: Lectures on Choquet’s theorem, v. Nostrand, 1966.
Eckhaus, W.: ‘Boundary layers in linear elliptic singular perturbation problems’, SIAM Review 14 (1972), 225–270.
Tikhonov, A.N.: ‘Systems of differential equations containing small parameters in front of the derivatives’, Mat. Sb. 31, no. 3 (1952), 575–586 (in Russian).
Wasov, W.: Asymptotic expansions for ordinary differential equations, Interscience, 1965.
Vasil’eva, A.B. and Butuzov, V.F.: Asymptotic expansions of solutions to singularly perturbed equations, Moscow, 1973 (in Russian).
Vishk, M.I. and Lyusternk, L.A.: ‘Regular degeneracy and boundary layers for linear differential equations with a small parameter’, Uspekhi Mat. Nauk 12, no. 5 (1957), 3–122 (in Russian).
Vishik, M.I. and Lyusternk, L.A.: ‘Solutions to some problems on perturbations in the case of matrices and non-self-adjoint differential equations’, Uspekhi Mat. Nauk 15, no. 3 (1960), 3–80 (in Russian).
Cole, J.: Perturbation methods in applied mathematics, Blaisdell, 1968.
Oleĭnik, O.A.: ‘on equations of elliptic type with a small parameter in front of the highest derivatives’, Mat. Sb. 31, no. 1 (1952), 104–117 (in Russian).
Il’in, A.M. and Leukova, E.F.: ‘The method of matched asymptotic expansions for the equation ∈δu−a(x, y)u y=f(x, y) in a rectangle’, Mat. Sb. 96, no. 4 (1975), 568–583 (in Russian).
Kochin, N.E, Kibel’, I.A. and Roze, N.V.: Theoretical hydromechanics, 2, Moscow, 1963 (in Russian).
Loĭtsyanskiĭ, L.G.: Laminar boundary layers, Moscow, 1962 (in Russian).
Schlichting, H. von: Grenzschicht-Theorie, Karlsruhe, 1951.
Oleinĭk, O.A.: ‘Mathematical problems of boundary-layer theory’, Uspekhi Mat. Nauk 23, no. 3 (1968), 3–65 (in Russian).
Dorodnitsyn, A. A.: ‘Boundary layers in an incompressible gas’, Prikl. Mat. i Mekh. 6, no. 6 (1942), 449–486 (in Russian).
Dyke, M. van: Perturbation methods in fluid mechanics, Parabolic Press, 1975.
Betchov, R. and Criminale V.O.: Stability of parallel flows, Acad. Press, 1967.
Soo, S.: Fluid dynamics of multiphase systems, Blaisdell, 1971.
Dorrance, W.H.: Viscous hypersonic flow, McGraw-Hill, 1962.
Kays, W.M.: Corrective heat and mass transfer, McGraw-Hill, 1971.
Neĭland, V.Ya.: ‘On the theory of separation of laminar boundary layers in supersonic flow’, Izv. Akad Nauk SSSR Mekh. Zhidk. i Gaza, no. 4 (1969), 53–57 (in Russian).
Neĭland, V.Ya.: ‘Asymptotic problems in the theory of viscous flows’, Trudy TsAGI, no. 1529 (1974) (in Russian).
Stewartson, K.: ‘Multistructured boundary layers on flat plates and related bodies’, Adv. App. Mech. 14 (1974), 145–239.
Lions, J.L.: Perturbation singulières dans les problèmes aux limits et en contrôle optimal, Lecture Notes in Math., 323, Springer, 1973.
Eckhaus, W.: Asymptotic analysis of singular perturbations, North-Holland, 1979.
Chang, K.W. and Howes, F.A.: Nonlinear singular perturbation phenomena: theory and application, Springer, 1984.
Brauner, C.M., Gay, B. and Mathieu, J. (eds.): Singular perturbations and boundary layer theory, Lecture Notes in Math., 594, Springer, 1977.
Verhulst, F. (ed.): Asymptotic analysis II, Lecture Notes in Math., 985, Springer, 1983.
Kokotovic, P. (ed.): Singular perturbations and time scales in modelling and control of dynamical systems, Univ. of Illinois at Urbana-Champaign, 1980.
Hirsch, M.W.: Differential topology, Springer, 1976.
Golubev, V.V.: Single-valued analytic functions. Automorphic functions, Moscow, 1961 (in Russian).
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Priwalow, I.I. [I.I. Privalov]: Randeigenschaften analytischer Funktionen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Khavinson, S.Ya.: ‘Analytic functions of bounded type’, Itogi Nauk. Mat. Anal. 1963 (1965), 5-80 (in Russian).
Nevanlinna, R.: Analytic functions, Springer, 1970 (translated from the German).
Noshiro, K.: Cluster sets, Springer, 1960.
Collingwood, E.F. and Lohwater, A.J.: The theory of cluster sets, Cambridge Univ. Press, 1966.
MacLane, G.R.: Asymptotic values of holomorphic functions, Rice Univ. Studies, Math. Monographs, 49, Rice Univ., Houston, 1963.
Lohwater, A.: ‘The boundary behaviour of analytic functions’, Itogi Nauk. Mat. Anal. 10 (1973), 99–259 (in Russian).
Dzhrbashyan, M.M.: Integral transforms and representation of functions in a complex domain, Moscow, 1966 (in Russian).
Rudin, W.: Function theory in polydiscs, Benjamin, 1969.
Khenkin, G.M. and Chirka, E.M.: ‘Boundary properties of holomorphic functions of several complex variables’, J. Soviet Math. 5, no. 5 (1971), 612–687. (Itogi Nauk. i Tekhn. Sovrem. Probl. Mat. 4 (1975), 13-142)
Aleksandrov, A.B.: ‘The existence of inner functions in the ball’, Math. USSR Sb. 46 (1983), 143–159.
Garnett, J.: Bounded analytic functions, Academic Press, 1981.
Koosis, P.: Introduction to H p spaces, Cambridge Univ. Press, 1980.
Lew, E.: ‘A construction of inner functions on the unit ball in Cp’, Invent. Math. 67 (1982), 223–229.
Rudin, W.: Function theory in the unit ball in Cn, Springer, 1980.
Stein, E.M.: Singular integrals and differentiability properties of functions, Princeton Univ. Press, 1970, Chapt. 7.
Stein, E.M.: Boundary behaviour of holomorphic functions of several complex variables, Princeton Univ. Press, 1972.
Vekua, I.N.: Generalized analytic functions, Pergamon, 1962 (translated from the Russian).
Vekua, N.P.: Systems of singular integral equations and some boundary value problems, Moscow, 1970 (in Russian).
Vekua, I.N.: New methods for solving elliptic equations, North-Holland, 1968.
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Vekua, I.N.: Generalized analytic functions, Pergamon, 1962 (translated from the Russian).
Bitsadze, A.V.: Boundary value problems for second-order elliptic equations, North-Holland, 1968 (translated from the Russian).
Keldysh, M.V.: ‘On the solvability and stability of the Dirichlet problem’, Uspekhi Mat. Nauk. no. 8 (1941), 171–231 (in Russian).
Hörmander, L.: ‘Pseudo-differential operators and non-elliptic boundary value problems’, Ann. of Math. 83, no. 1 (1966), 129–209.
Borrelli, R.L.: ‘The singular, second order oblique derivative problem’, J. Math. and Mech. 16, no. 1 (1966), 51–81.
Egorov, Yu.V. and Kondrat’ev, V.A.: ‘The oblique derivative problem’, Mat. Sb. 78, no. 1 (1969), 148–176 (in Russian).
Maz’ya, V.G.: ‘The degenerate problem with oblique derivative’, Mat. Sb. 87, no. 3 (1972), 417–453 (in Russian).
Yanushauskas, A.: Dokl. Akad. Nauk SSSR 164, no. 4 (1965), 753–755.
Vishik, M.I. and Eskin, G.I.: ‘Sobolev-Slobodinsky spaces of variable order with weighted norm, and their applications to mixed boundary value problems’, Sibirsk. Mat. Zh. 9, no. 5 (1968), 973–997 (in Russian).
Giraud, G.: Ann. Soc. Math. Polon. 12 (1934), 35–54.
Lavrent’ev, M.A.: The variational method in boundary value problems for systems of equations of elliptic type, Moscow, 1962 (in Russian).
Nekrasov, A.I.: ‘Exact theory of waves of stationary type on the surface of a heavy fluid’, in Collected works, Vol. 1, Moscow, 1961 (in Russian).
Gakhov, F.D.: Boundary value problems, Pergamon, 1966 (translated from the Russian).
Sobolev, S.L.: Mat. Sb. 2, no. 3 (1937), 465–499.
Agmon, S., Douglis, A. and Nirenberg, L.: ‘Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I, II.’, Comm. Pure Appl. Math. 17 (1964), 35–92.
Schauder, J.: Math. Z. 33 (1931), 602–640.
Leray, J. and Schauder, J.: Ann. Sci. Ecole Norm. Sup. Ser. 3 51 (1934), 45–78.
Palais, R.S.: ‘Morse theory on Hilbert manifolds’, Topology 2, no. 4 (1963), 299–340.
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Garabedian, P.R.: Partial differential equations, Wiley, 1964.
Friedman, A.: Partial differential equations, Holt, Rinehart and Winston, 1969.
Tikhonov, A.N. and Samarskiĭ, A.A.: The equations of mathematical physics, Moscow, 1977 (in Russian).
Samarskiĭ, A.A. and Marchuk, G.I.: The theory of difference schemes, Moscow, 1983 (in Russian).
Marchuk, G.I.: Methods of computational mathematics, Moscow, 1977 (in Russian).
Yanenko, N.N.: Fractional step methods for solution of multidimensional problems in mathematical physics, Novosibirsk, 1967 (in Russian).
D’yakonov, E.G.: Difference methods for solving boundary value problems, 1-2, Moscow, 1971–1972 (in Russian).
Polozhiĭ, G.N.: Numerical solution of two-and three-dimensional boundary value problems of mathematical physics and functions of a discrete argument, Kiev, 1962 (in Russian).
Tikhonov, A.N. and Samarskiĭ, A.A.: ‘On homogeneous difference schemes’, Zh. Vychisl. Mat. i Mat. Fiz. 1, no. 1 (1961), 5–63 (in Russian).
Forsythe, G.E. and Wasow, W.R.: Finite difference methods for partial differential equations, Wiley, 1960.
Garabedian, P.R.: Partial differential equations, Wiley, 1964.
Gladwell, I. and Wait, R. (eds.): A survey of numerical methods for partial differential equations, Clarendon Press, 1979.
Mitchell, A.R. and Griffiths, W.F.: The finite difference method in partial differential equations, Wiley, 1980.
Richtmyer, R.D. and Morton, K.W.: Difference methods for initial value problems, Wiley, 1967.
Samarskiĭ, A.A.: Theorie der Differenzverfahren, Akad. Verlagsgesellsch. Geest u. Portig K.-G., Leipzig, 1984.
Smith, G.D.: Numerical solution of partial differential equations, Oxford Univ. Press, 1977.
Yanenko, N.N,: The method of fractional steps; the solution of problems of mathematical physics in several variables, Springer, 1971 (translated from the Russian).
Hartman, P.: Ordinary differential equations, Birkhäuser, 1982.
Krasnosel’skiĭ, M.A., Burd, V.Sh. and Kolesov, Yu.S.: Nonlinear almost-periodic oscillations, Wiley, 1973 (translated from the Russian).
Pontryagin, L.S., et. al.: The mathematical theory of optimal processes, Interscience, 1962 (translated from the Russian).
Krasovskiĭ, N.N.: Theory of control of motion. Linear systems, Moscow, 1968 (in Russian).
Zubov, V.I.: Lectures in control theory, Moscow, 1975 (in Russian).
Kamke, E.: Differentialgleichungen: Lösungsmethoden und Lösungen, 1, Chelsea, reprint, 1971.
Kiguradze, L.T.: Some singular boundary value problems for ordinary differential equations, Tbilisi, 1975 (in Russian).
Braun, M.: Differential equations and their applications, Springer, 1975.
Ince, E.L.: Ordinary differential equations, Dover, reprint, 1956.
Jackson, L.K.: ‘Boundary value problems for ordinary differential equations’, in J.K. Hale (ed.): Studies in ordinary differential equations, Math. Assoc. Amer., 1977, pp. 93-127.
Bers, L., John, F. and Schechter, M.: Partial differential equations, Interscience, 1964.
Birsadze, A.V.: Boundary value problems for second-order elliptic equations, North-Holland, 1968 (translated from the Russian).
Courant, R. and Hilbert, D.: Methods of mathematical physics. Partial differential equations, 2, Interscience, 1965 (translated from the German).
Ladyzhenskaya, O.A.: Boundary value problems of mathematical physics, Moscow, 1973 (in Russian).
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian).
Muskhelishvili, N.I.: Singular integral equations, Wolters-Noordhoff, 1972 (translated from the Russian).
Tichonoff, A.N. [A.N. Tikhonov] and Samarskiĭ, A.A.: Differentialgleichungen der mathematischen Physik, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Courant, R. and Hilbert, D.: Methods of mathematical physics, 1-2, Interscience, 1953–1962 (translated from the German).
Friedman, A.: Partial differential equations, Holt, 1969.
Garabedian, P.R.: Partial differential equations, Wiley, 1964.
Hörmander, L.: Linear partial differential operators, Springer, 1963.
Ladyzhenskaya, O.A.: Linear and quasilinear elliptic equations, Acad. Press, 1968.
Lions, J.L. and Magenes, E.: Non-homogenous boundary value problems and applications, 1-3, Springer, 1972 (translated from the French).
Protter, M.H. and Weinberger, H.F.: Maximum principles in differential equations, Prentice Hall, 1967.
Forsythe, G.E. and Wasow, W.R.: Finite-difference methods for partial differential equations, Wiley, 1960.
Günter, N.M.: Potential theory and its applications to basic problems of mathematical physics, F. Ungar, New-York, 1967(translated from the French).
Brélot, M.: Eléments de la théorie classique du potential, Sorbonne Univ. Centre Doc. Univ., Paris, 1959.
Constantinescu, C. and Cornea, A.: Potential theory on harmonic spaces, Springer, 1972.
Kellogg, O.D.: Foundations of potential theory, F. Ungar, 1929. Re-issue: Springer, 1967.
Helms, L.L.: Introduction to potential theory, Wiley (Interscience), 1969 (translated from the German).
Doob, J.L.: Classical potential theory and its probabilistic counterpart, Springer, 1983.
Riemann, B.: Gesammelte mathematische Werke-Nachträge, Teubner, 1892–1902 (translated from the German).
Hilbert, D.: Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen, Chelsea, reprint, 1953.
Vekua, I.N.: Trudy Tbil. Mat. Inst. Akad. Nauk GruzSSR 11 (1942), 109–139.
Poincaré, H.: Leçons de mécanique celeste, 3, Paris, 1910.
Muskhelishvili, N.I.: Singular integral equations, Wolters-Noordhoff, 1972 (translated from the Russian).
Gakhov, F.D.: Boundary value problems, Pergamon, 1966 (translated from the Russian).
Khvedelidze, B.V.: Trudy Tbil. Mat. Inst. Akad. Nauk GruzSSR 23 (1956), 3–158.
Bart, H., Gohberg, I. and Kaashoek, M.A.: ‘Fredholm theory of Wiener—Hopf equations in terms of realization of their symbols’, Integral Equations and Operator Theory 8 (1985), 590–613.
Boutet de Monvel, L., A. o. (eds.): ‘Mathématique et physique’, in Sém. ENS 1979–1982, Birkhäuser, 1983.
Clancey, K. and Gohberg, I.: ‘Factorization of matrix functions and singular integral operators’, in Operator Theory: Advances and Applications, Vol. 3, Birkhäuser, 1981.
Gohberg, I.C. and Feldman, I.A.: Convolution equations and projection methods for their solution, Transi. Math. Monographs, 41, Amer. Math. Soc., 1974.
Gohberg, I.C. and Kreĭn, M.G.:’ systems of integral equations on a half line with kernels depending on the difference of arguments’, Amer. Math. Soc. Transi. (2) (1960), 217-287. (Uspekhi Mat. Nauk 13, no. 2 (80) (1958), 3-72)
Zakharov, V.E. and Manakov, S.V.:’ soliton theory’, in J.M. Khalatnikov (ed.): Physics reviews, Vol. 1, Harwood Acad. Publ., 1979, pp. 133-190.
Meister, E.: Randwertaufgaben der Funktionentheorie, Teubner, 1983.
Rodin, Y.L.: The Riemann boundary value problem on Riemannian manifolds, Reidel, 1987.
Chudnovsky, D. and Chudnovsky, G., (eds.): The Riemann problem, complete integrability and arithmetic applications, Lecture Notes in Math., 925, Springer, 1982.
Hoenselaers, C. and Dietz, W.: Solutions of Einstein’s equations: techniques and results, Lecture Notes in Phys., 265, Springer, 1984.
] Plemelj, J.: Problems in the sense of Riemann and Klein, Interscience, 1964.
Birkhoff, G.D.: ‘Singular points of ordinary linear differential equations’, Trans. Amer. Math. Soc. 11 (1909), 436–470.
Birkhoff, G.D.: ‘A simplified treatment of the regular singular point’, Trans. Amer. Math. Soc. 11 (1910), 199–202.
Lappo-Danilevsky, I.A.: Mémoires sur la théorie des systémes des equations différentielles linéaires, Chelsea, reprint, 1953.
Schiffer, M.: ‘A method of variation within the family of simple functions’, Proc. London Math. Soc., Ser. 2 44 (1938), 432–449.
Schiffer, M.:’ some recent developments in the theory of conformal mappings’, in R. Courant (ed.): Dirichlet’s principle. Conformai mapping and minimal surfaces, Interscience, 1950.
Schiffer, M.: ‘Applications of variational methods in the theory of conformai mapping’, in Calculus of variations and its applications, Proc. Symp. Appl. Math., Vol. 8, Amer. Math. Soc. & McGraw-Hill, 1958, pp. 93-113.
Duren, P.L.: Univalent functions, Springer, 1983, Chapt.10.
Lyusternik, L.A. and Sobolev, V.I.: Elemente der Funktionalanatysis, Akademie Verlag, 1955 (translated from the Russian).
Rudin, W.: Functional analysis, McGraw-Hill, 1973.
Birkhoff, G.: Lattice theory, Amer. Math. Soc., 1967.
Taylor, A.E. and Lay, D.C.: Introduction to functional analysis, Wiley, 1980.
Zaanen, A.C.: Riesz spaces, 2, North-Holland, 1983.
Klee, V.L.: ‘Convex bodies and periodic homeomorphisms in Hilbert space’, Trans. Amer. Math. Soc. 74 (1953), 10–43.
Edwards, R.E.: Functional analysis: theory and applications, Holt, Rinehardt, Winston, 1965.
Bourget, J.: ‘Mémoire sur les nombres de Cauchy et leur application à divers problèmes de mécanique céleste’, J. Math. Pures. Appl. (2) 6 (1861), 32–54.
Watson, G.N.: A treatise on the theory of Bessel functions, Cambridge Univ. Press, 1952, Chapt. 10.
Galilei, G.: Unterredungen und mathematische Demonstrationen über zwei neue Wissenszweigen, die Mechanik und die Fallgesetze betreffend, W. Engelmann, Leipzig, 1891 (translated from the Italian and the Greek).
Lavrent’ev, M.A. and Lyusternik, L.A.: A course in variational calculus, Moscow-Leningrad, 1950 (in Russian).
Rouse Ball, W.W.: A short account of the history of mathematics, Dover, reprint, 1960.
Weinstock, R.: Calculus of variations, Dover, reprint, 1974.
Artin, E.: ‘Theory of braids’, Ann. of Math. 48 (1947), 643–649.
Birman, J.S.: Braids, links and mapping class groups, Princeton Univ. Press, 1974.
Burau, W.: ‘Ueber Zopfinvarianten’, Abh. Math. Sem. Univ. Hamburg 9 (1932), 117–124.
Markov, A.A.: ‘Foundations of the algebraic theory of braids’, Trudy Mat. Inst. Steklov. 16 (1945) (in Russian).
Gassner, B.: ‘On braid groups’, Abh. Math. Sent Univ. Hamburg 25 (1961), 10–22.
Fadell, E. and Neuwirth, L.: ‘Configuration spaces’, Math. Scand 10 (1962), 111–118.
Garside, F.A.: ‘The braid group and other groups’, Quart. J. Math. 20, no. 4 (1969), 235–254.
Fuks, D.B.: ‘Cohomology of braid groups mod 2’, Funktional. Anal. i Prilozhen. 4, no. 2 (1970), 62–73 (in Russian).
Arnol’d, V.I.: ‘On cohomology classes of algebraic functions that are preserved under Tschirnhausen transformations’, Funktional. Anal. i Prilozhen. 1 (1970), 84–85 (in Russian).
Gorin, E.A. and Lin, V.Ya.: ‘Algebraic equations with continuous coefficients and some problems in the theory of braids’, Mat. Sb. 78 (1969), 579–610 (in Russian).
Arnol’d, V.I.: ‘On certain topological invariants of algebraic functions’, Trudy Moskov. Mat. Obshch. 21 (1970), 27–46 (in Russian).
Brieskorn, E.: Matematika 18, no. 3 (1974), 46–59.
Brieskorn, E. and Saito, K.: ‘Artin Gruppen und Coxeter Gruppen’, Invent. Math. 17 (1972), 245–271.
Deligne, P.: ‘Les immeubles des groupes de tresses généralisés’, Invent. Math. 17, no. 4 (1972), 273–302.
Lin, V.Ya.: ‘Representations of permutation braids’, Uspekhi Mat. Nauk. 29, no. 1 (1974), 173–174 (in Russian).
Arnol’d, V.I.: ‘The ring of cohomology groups of crossed braids’, Mat. Zametki 5, no. 2 (1969), 227–231 (in Russian).
Lin, V.Ya.: ‘Artin braids and related groups and spaces’, Itogi Nauk. i Tekhn. Algebra Topol. Geom. 17 (1979), 159–227 (in Russian).
Springer, G.: Introduction to Riemann surfaces, Addison-Wesley, 1957.
Mumford, D.: Algebraic geometry I. Complex projective varieties, Springer, 1976.
Hurwitz, A. and Courant, R.: Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen, 1, Chapt. 3; 2, Chapt. 4, Springer, 1964.
Markushevich, A.I.: Theory of functions of a complex variable, 2, Chelsea, 1977 (translated from the Russian).
Markushevich, A.I.: Theory of functions of a complex variable, 2, Chelsea, Chapt. 8 (translated from the Russian).
Fuks, B.A.: Theory of analytic functions of several complex variables, Amer. Math. Soc., 1963 (translated from the Russian).
Lyapunov, A.M.: ‘On equilibrium figures, etc.’, in Complete works, Vol. 4, Moscow, 1959 (in Russian).
Schmidt, E.: ‘Zur Theorie der linearen und nichtlinearen Integralgleichungen III’, Math. Ann. 65 (1908), 370–399.
Vainberg, M.M. and Trenogin, V.A.: Theory of branching of solutions of non-linear equations, Noordhoff, 1974 (translated from the Russian).
Vainberg, M.M. and Trenogin, V.A.: ‘The methods of Lyapunov and Schmidt in the theory of non-linear equations and their further development’, Russian Math. Surveys 17, no. 2 (1962), 1–60. (Uspekhi Mat. Nauk 17, no. 2 (1962), 13-75)
Krasnosel’skiĭ, MA., et al.: Approximate solution of operator equations, Moscow, 1969 (in Russian).
Akhmedov, K.T.: ‘The analytic method of Nekrasov—Nazarov in non-linear analysis’, Uspekhi Mat. Nauk 12, no. 4 (1957), 135–153 (in Russian).
Yudovich, V.I.: ‘Free convection and bifurcation’, J. Appl. Math. Mech 31 (1967), 103–114. (Priklad. Mat. Mekh. 31 (1967), 101-111)
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Akhmedov, K.T.: ‘The Cauchy problem for a class of nonlinear equations in function spaces’, Dokl. Akad Nauk SSSR 115, no. 1 (1957), 9–12 (in Russian).
Sidorov, N.A.: ‘Branching of solutions of the Cauchy problem for a certain class of nonlinear integro-differential equations’, Differential equations N. Y. 3, no. 9 (1967), 830–834. (Differentsial’nye Uravneniya 3, no. 9 (1967))
Ter-Krikorov, A.M. and Trenogin, V.A.: ‘Long wave solutions for quasi-linear elliptic equations in an unbounded strip’, Differential Equations N. Y. 3, no. 3 (1967), 496–508. (Differentsial’nye Uravneniya 3, no. 3 (1967))
Chow, S.-N. and Hale, J.K.: Methods of bifurcation theory, Springer, 1982.
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Nitzsche, J.C.C.: Vorlesungen über Minimalflächen, Springer, 1973.
Sewastjanow, B.A. [B.A. Sevast’yanov]: Verzweigungsprozesse, Akad. Wissenschaft. DDR, 1974.
Athreya, K.B. and Ney, P.: Branching processes, Springer, 1972
Asmussen, S. and Hering, H.: Branching processes, Birkhäuser, 1983.
Jagers, P.: Branching processes with biological applications, Wiley, 1975.
Jagers, P. and Nerman, O.: ‘The growth and composition of branching populations’, Adv. Appl. Probab. 16 (1984), 221–259.
Sewastjanow, B.A. [B.A. Sevast’yanov]: Verzweigungsprozesse, Akad. Wissenschaft. DDR, 1974.
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Mode, C.J.: Multitype branching processes, Elsevier, 1971.
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Sewastjanow, B.A. [B.A. Sevast’yanov]: Verzweigungsprozesse, Akad. Wissenschaft. DDR, 1974.
Chistyakov, V.P.: ‘On transition phenomena in branching stochastic processes with several types of particles’, Theory Probob. Appl. 17, no. 4 (1972), 631–639. (Teor. Veroyatnost. i Primenen. 17, no. 4 (1972), 669-678)
Ogura, Y.: ‘Asymptotic behaviour of multitype Galton—Watson processes’, J. Math. Kyoto Univ. 15 (1975), 251–302.
Athreya, K.B. and Ney, P.: Branching processes, Springer, 1972
Sewastjanow, B.A. [B.A. Sevast’yanov]: Verzweigungsprozesse, Akad. Wissenschaft. DDR, 1974.
Zubkov, A.M.: ‘Life-like periods of a branching process with immigration’, Theory Probab. Appl. 17, no. 1 (1972), 174–183. (Teor. Veroyatnost. i Phmenen 17, no. 1 (1972), 179-188)
Pakes, A.G.: ‘Further results on the critical Galton—Watson process with immigration’, J. Austral Math. Soc. 13, no. 3 (1972), 277–290.
Foster, J.H. and Williamson, J.A.: ‘Limit theorems for the Galton—Watson process with time-dependent immigration’, Z. Wahrsch. Verw. Geb. 20 (1971), 227–235.
Seneta, E.: ‘An explicit limit theorem for the critical Galton—Watson process with immigration’, J. Roy. Statist. Soc. Ser. B 32, no. 1 (1970), 149–152.
Seneta, E.: ‘On the supercritical Galton—Watson process with immigration’, Math. Biosci. 7 (1970), 9–14.
Foster, J.H.: ‘A limit theorem for a branching process with state-dependent immigration’, Ann. of Math. Statist. 42, no. 5 (1971), 1773–1776.
Sewastjanow, B.A. [B.A. Sevast’yanov]: Verzweigungsprozesse, Akad. Wissenschaft. DDR, 1974.
Brandt, H.: ‘Ueber eine Verallgemeinerung des Gruppenbegriffes’, Math. Ann. 96 (1927), 360–366.
Deuring, M: Algebren, Springer, 1935.
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Sushkevich, A.K.: The theory of generalized groups, Kharkov-Kiev, 1937 (in Russian).
Clifford, A.H. and Preston, G.B.: The algebraic theory of semigroups, 1-2, Amer. Math. Soc., 1961–1967.
Cassels, J.W.S. and Frölich, A. (eds.): Algebraic number theory, Acad. Press, 1967.
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, Chapt. 1; 2 (translated from the French).
Serre, J.-P.: Cohomologie Galoisienne, Springer, 1964.
Faddeev, D.K.: ‘On the theory of algebras over fields of algebraic functions in one variable’, Vestnik Leningrad. Univ., no. 7 (1957), 45–51 (in Russian). English summary.
Chebotarev, N.G.: Introduction to the theory of algebra..., Moscow-Leningrad, 1949 (in Russian).
Deuring, M.: Algebren, Springer, 1935.
Grothendieck, A.: ‘Le groupe de Brauer I, II, III’, in Dix exposés sur la cohomologie des schémas, North-Holland, 1968, pp. 46-188.
Milne, J.S.: Etale cohomology, Princeton Univ. Press, 1980.
Suslin, A.: ‘Plenary adress’, in Proc. Internat. Congress of Mathematicians Berkely, 1986, Forthcoming.
Châtelet, F.: ‘Variations sur un thème de H. Poincaré’, Ann. Sci. École Norm. Sup. (3) 61 (1944), 249–300.
Grothendieck, A.: ‘Le groupe de Brauer’, in Dix exposés sur la cohomologie des schémas, North-Holland, 1968, pp. 1-21.
Serre, J.-P.: Cohomologie Galoisienne, Springer, 1964.
Roguette, P.: ‘On the Galois cohomology of the projective linear group and its applications to the construction of generic splitting fields of algebras’, Math. Ann. 150 (1963), 411–439.
Briot, C. and Bouquet, T.: ‘Récherches sur les proprietés des équations différentielles’, J. École Polytechnique 21, no. 36 (1856), 133–198.
Bieberbach, L: Theorie der gewöhnlichen Differentialgleichungen auf funktionentheoretischer Grundlage dargestellt, Springer, 1965.
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Martinet, J. and Ramis, J.P.: ‘Problèmes de modules pour des équations différentielles du premier ordre’, Publ. Math. IHES 55 (1982), 63–164.
McKinsey, J.C.C. and Tarski, A.: ‘The algebra of topology’, Ann. of Math. (2) 45, no. 1 (1944), 141–191.
Birkhoff, G.: Lattice theory, Amer. Math. Soc:, 1967.
Fourman, M.P. and Scott, D.S.: ‘Sheaves and logic’, in Applications of sheaves, Lecture notes in Math., Vol. 753, Springer, 1979, pp. 302–401.
Johnstone, P.T.: Stone spaces, Cambridge Univ. Press, 1983.
Simmons, H.: ‘A framework for topology’, in Logic colloquium’ 77, Studies in logic and foundations of math., Vol. 96, North-Holland, 1978, pp. 239–251.
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Bohl, P.: ‘Ueber die Beweging eines mechanischen Systems in der Nähe einer Gleichgewichtslage’, J. Reine Angew. Math. 127 (1904), 179–276.
Isträtescu, V.I.: Fixed point theory, Reidel, 1981.
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Scarf, H.: ‘The approximation of fixed points of continuous mappings’, SIAM J. Appl. Math. 15 (1967), 1328–1343.
Karamadian, S. (ed.): Fixed points. Algorithms and applications, Acad. Press, 1977.
Allgower, E. and Georg, K.: ‘Simplicial and continuation methods for approximating fixed points and solutions to systems of equations’, SIAM Rev. 22 (1980), 28–85.
Brouwer, L.E.J.: ‘Ueber Abbildungen von Mannigfaltigkeiten’, Math. Ann. 71 (1912), 97–115.
Dugundji, J.: Topology, Allyn and Bacon, 1966.
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Itô, K. and McKjean, H.P., jr.: Diffusion processes and their sample paths, Springer, 1974, Chapt. 1; 2.
Borel, A.: Linear algebraic groups, Benjamin, 1969.
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Chevalley, C.: Classification des groupes de Lie algébriques, 2, Paris, 1958.
Brun, V.: ‘Le crible d’Eratosthène et le théorème de Gold-bach’, C.R. Acad. Sci. Paris Sér. I Math. 168, no. 11 (1919), 544–546.
Gel’fond, A.O. and Linnik, Yu.V.: Elementary methods in the analytic theory of numbers, M.I.T., 1966 (translated from the Russian).
Trost, E.: Primzahlen, Birkhäuser, 1953.
Halberstam, H. and Richert, H.E.: Sieve methods, Acad. Press, 1974.
Brun. V.: ‘La série 1 /5+ 1 /7+... ou les dénominateurs sont ‘nombres premiers jumeaux’ et convergente ou finie’, Bull. Sci. Math. (2) 43 (1919), 100–104; 124-128.
Trost, E.: Primzahlen, Birkhäuser, 1953.
Halberstam, H. and Richert, H.E.: Sieve methods, Acad. Press, 1974.
Buseman, H.: Convex surfaces, Interscience, 1958.
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Encyclopaedia of elementary mathematics, Vol. 2 Algebra, Moscow-Leningrad, 1951, p. 331 (in Russian).
Boor, C. de and Schoenberg, I.J.: ‘Cardinal interpolation and spline functions VIII. The Budan—Fourier theorem for splines and applications.’, in K. Böhmer, G. Meinardus and W. Schemp (eds.): Spline functions, Lect. Notes in Math., Vol. 501, Springer, 1976.
Householder, A.S.: ‘Unique triangularization of a nonsymmetric matrix’, J. Assoc. Comp. Mach. 5 (1958), 339–342.
Buffon, G.: Essai d’arithmétique morale. Supplement à ‘l’Histoire Morale’, 4, 1777.
Uspensky, J.V.: Introduction to mathematical probability, McGraw-Hill, 1937.
Kendall, M.G. and Moran, P.A.P.: Geometric probability, Griffin, 1963.
Bounjakowsky, W. [V. Ya. Bunyakovskiĭ]: ‘Sur quelques inegalités concernant les intégrales aux différences finis’, Mem. Acad. Sci. St. Petersbourg (7) 1 (1859), 9.
Rudin, W.: Principles of mathematical analysis, McGraw-Hill, 1953.
Burkill, J.C.: ‘Functions of intervals’, Proc. London Math. Soc. (2) 22 (1924), 275–310.
Burkill, J.C.: ‘The expression of area as an integral’, Proc. London Math. Soc. (2) 22 (1924), 311–336.
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Romanovskiĭ, P.I.: ‘l’Intégrale de Denjoy en espaces abstractes’, Mat. Sb. 9(51), no. 1 (1941), 67–120.
Burkill, J.C.: ‘Integrals and trigonometric series’, Proc. London Math. Soc. (3) 1 (1951), 46–57.
Bürmann, H.: Mem. Inst. Nat. Sci. Arts. Sci. Math. Phys. 2 (1799), 13–17.
Lagrange, J.L.: Mem. Acad. R. Sci. et Belles-lettres Berlin 24 (1770).
Lagrange, J.L.: ‘Additions au mémoire sur la résolution des équations numériques’, in Oeuvres, Vol. 2, Georg Olms, 1973, pp. 579–652.
Hurwitz, A. and Courant, R.: Vorlesungen über allgemeine Funkionenentheorie und elliptische Funktionen, 1, Springer, 1968, Chapt. 7.
Whittaker, E.T. and Watson, G.N.: A course of modern analysis, Cambridge Univ. Press, 1952.
Markushevich, A. I.: Theory of functions of a complex variable, 1, Chelsea, reprint, 1977 (translated from the Russian).
Henrici, P.: Applied and computational complex analysis, 1, Wiley, 1974.
Burnside, W.: Theory of groups of finite order, Cambridge Univ. Press, 1897.
Burnside, W.: ‘On an unsettled question in the theory of discontinuous groups’, Quart. J. Pure Appl. Math. 33 (1902), 230–238.
Levi, F.V. and Waerden, B.L. van der: ‘Ueber eine besondere klasse von Gruppen’, Abh. Math. Sem. Univ. Hamburg 9 (1932), 154–158.
Sanov, I.N.: ‘Solution of the Burnside problem for exponent 4’, Uchen. Zap. Leningrad. Gos. Univ. Ser. Mat. 10 (1940), 166–170 (in Russian).
Bayes, A.J., Kautsky, J. and Wamsley, T.W.: Proc. 2-nd Internal Conf. Theory of Groups, Canberra, 1973, pp. 82-89.
Hall, M: ‘Solution of the Burnside problem for exponent 6’, Proc. Nat. Acad. Sci. USA 43 (1957), 751–753.
Hall, P. and Higman, G.: ‘On the p-length of p soluble groups and reduction theorems for Burnside’s problem’, Proc. London Math. Soc. (3) 6 (1956), 1–42.
Novikov, P.S.: ‘On periodic groups’, Amer. Math. Soc. Transl. 45 (1965), 19–22 (in Russian). (Dokl. Akad Nauk SSSR 127, no. 4 (1959), 749-752)
Golod, E.S.: ‘On nil algebras and residually-finite groups’, Izv. Akad Nauk SSSR Ser. Mat. 28 (1964), 273–276 (in Russian).
Aleshin, S.V.: ‘Finite automata and Burnside’s problem for periodic groups’, Math. Notes 11, no. 3 (1972), 199–203. (Mat. Zametki 11, no. 3 (1972), 319-328)
Novikov, P.S. and Adyan, S.I.: Izv. Akad. Nauk SSSR Ser. Mat. 32, no. 1 (1968), 212–244.
Novikov, P.S. and Adyan, S.I.: Izv. Akad Nauk SSSR Ser. Mat. 32, no. 3 (1968), 709–731.
Adyan, S.I.: The Burnside problem and identities in groups, Springer, 1979 (translated from the Russian).
Shmidt, O.Yu.: Selected works on mathematics, Moscow, 1959, pp. 298-300 (in Russian).
Kostrikin, A.I.: ‘On Burnside’s problem’, Izv. Akad. Nauk SSSR Ser. Mat. 23 (1959), 3–34 (in Russian).
Bachmuth, S.M., Muchizuki, H.Y. and Walkup, D.W.: ‘A nonsolvable group of exponent 5’, Bull. Amer. Math. Soc. 76, no. 3 (1970), 638–640.
Razmyslov, Yu.P.: ‘On Lie algebras satisfying the Engel condition’, Algebra and Logic 10, no. 1 (1971), 21–29 (Algebra i Logika 10, no. 1 (1971), 33-44)
Magnus, W.: ‘Ueber Beziehungen zwischen höheren Kommutatoren’, J. Reine Angew. Math. 177(1937), 105–115.
Higman, G.: ‘Lie ring methods in the theory of finite nilpotent groups’, in Froc. Internat. Congress Mathematicians Edinburgh, 1960, Cambridge Univ. Press, 1960, pp. 307-312.
Kurosh, A.G.: ‘Ring-theoretical problems connected with Burnside’s problem for periodic groups’, Izv. Akad. Nauk SSSR Ser. Mat. 5 (1941), 233–240 (in Russian). German abstract.
Grigorchuk, R.I.: ‘On Burnside’s problem for periodic groups’, Funktsional. Anal. i Phlozhen. 14, no. 1 (1980), 53–54 (in Russian).
Grigorchuk, R.I.: ‘Milnor’s problem on the growth of groups’, Dokl. Akad. Nauk SSSR 271, no. 1 (1983), 30–33 (in Russian).
Ol’shanskit, A.Yu.: ‘On a theorem of Novikov—Adyan’, Mat. Sb. 118, no. 2 (1982), 202–235 (in Russian).
Ol’shanskit, A.Yu.: ‘Groups of bounded period in which all subgroups are of prime order’, Algebra i Logika 21, no. 5 (1982), 555–618 (in Russian).
Vaughan-Lee, M.R.: ‘The restricted Bumside problem’, Bull. London Math. Soc. 17 (1985), 113–133.
Kostrikin, A.L.: Around Bumside, Springer, Forthcoming.
Alford, Havas, G. and Newman, M.F.: ‘Groups of exponent four’, Notices Amer. Math. Soc. 22 (1975), A.301.
Havas, G., Newman, M.F. and Vaughan-Lee, M.R.: ‘A nilpotent quotient algorithm for graded Lie rings’, To appear.
Havas, G., Wall, G.E. and Wamsley, J.W.: ‘The two-generator restricted Bumside group of order five’, Bull. Austral. Math. Soc. 10 (1974), 459–470.
Mennicke, J.L. (ed.): ‘Proc. Bumside workshop Bielefeld, 1977’, Lect. Notes Math., Vol. 806, Springer, 1980.
Higman, G.: ‘On finite groups of exponent five’, Proc. Cambridge Phil. Soc 52 (1956), 381–390.
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Rudyak, Y.B. et al. (1995). B. In: Hazewinkel, M. (eds) Encyclopaedia of Mathematics. Encyclopaedia of Mathematics, vol 1. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3797-1_2
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