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An invariant of cohomology type associated with schemes in algebraic K-theory.
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References
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‘Première classe de Chern et courbure de Ricci: preuve de la conjecture de Calabi’, Sem. Palaiseau 1978, Soc. Math. France, 1978.
Siu, Y.-T.: Lectures on Hermitean-Einstein metrics for stable bundles and Kähler—Einstein metrics, Birkhäuser, 1987.
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Weil, A.: Introduction à l’étude des variétés kählériennes; Hermann, 1958.
Lichnerowicz, A.: Global theory of connections and holonomy groups, Noordhoff, 1976 (translated from the French).
Wells, jr., R.O.: Differential analysis on complex manifolds, Springer, 1980.
Hodge, W.V.D.: The theory and application of harmonic integrals, Cambridge Univ. Press, 1952.
Deligne, P., Griffiths, P., Morgan, J. and Sullivan, D.: ‘The real homology of Kaehler manifolds’, Invent. Math. 29 (1975), 245–274.
Kakutani, S.: ‘A generalization of Brouwer’s fixed point theorem’, Duke Math. J. 8, no. 3 (1941), 457–459.
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Dugundji, J. and Granas, A.: Fixed point theory, 1, PWN, 1982.
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Kantorovich, L.V. and Akilov, G.P.: Functional analysis in normed spaces, Pergamon, 1964 (translated from the Russian).
Kràsnosel’skiĭ, M.A., et al.: Approximate solution of operator equations, Moscow, 1969 (in Russian).
Collatz, L.: Funktionalanalysis und numerische Mathematik, Springer, 1964.
Denis, jr., J.E. and Schnable, R.: Numerical methods for unconstrained optimization and nonlinear equations, Prentice-Hall. 1983.
Ortega, J.M. and Rheinboldt, W.C.: Iterative solution of nonlinear equations in several variables, Acad. Press, 1970.
Savelov, A.A.: Plane curves, Moscow, 1960 (in Russian).
Lawrence, J.D.: A catalog of special plane curves, Dover, reprint, 1972.
Kawaguchi, A.: ‘Theory of connections in a Kawaguchi space of higher order’, Proc. Imp. Acad. Tokyo 13 (1937), 237–240.
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Keldysh, M.V. and Lavrent’ev, M.A.: ‘Sur la répresentation conforme des domains limités par des courbes rectifiables’, Ann. Ecole Norm, Sup. 54 (1937), 1–38.
Priwalow, L.I. [LI. Privalov]: Randeigenschaften analytischer Funktionen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Lohwater, A.J.: ‘The boundary behaviour of analytic functions’, Itogi Nauk. i Tekhn. Mat. Anal. 10 (1973), 99–259 (in Russian).
Duren, P.L., Shapiro, H.S. and Shields, A.L.: ‘Singular measures and domains not of Smirnov type’, Duke Math. J. 33 (1966), 247–254.
Piranian, G.: ‘Two monotonic, singular, uniformly almost smooth functions’. Duke Math. J. 33 (1966), 254–262.
Keldysh, M.V. and Lavrent’ev, M.A.: ‘Sur un problème de M. Carleman’, Dokl. Akad. Nauk SSSR 23, no. 8 (1939), 746–748.
Mergelyan, S.N.: ‘Uniform approximation to functions of a complex variable’, Transl. Amer. Math. Soc. 3 (1962), 294–391. (Uspekhi Mat. Nauk 7, no. 2 (1952), 31-1A2)
Gaier, D.: Lectures on complex approximation, Birkhäuser, 1987 (translated from the German).
Keldysh, M.V.: ‘Sur la répresentation par des séries de polynomes des fonctions d’une variable complexe dans de domains fermés’, Mat. Sb. 16, no. 3 (1945), 249–258.
Mergelyan, S.N.: ‘Uniform approximations to functions of a complex variable’, Transi Amer. Math. Soc. (1) 3 (1962), 294–391. (Uspekhi Mat. Nauk 7, no. 2 (1952), 3-122)
Keldysh, M.V.: ‘Sur la resolubilité et la stabilité du problème de Dirichlet’, Dokl. Akad. Nauk SSSR 18 (1938), 315–318.
Keldysh, M.V.: ‘On the solvability and stability of the Dirichlet problem’, Uspekhi Mat. Nauk 8 (1941), 171–231 (in Russian).
Keldysh, M.V.: ‘Sur le problème de Dirichlet’, Dokl Akad. Nauk SSSR 32 (1941), 308–309.
Landkof, N.S.: Foundations of modem potential theory, Springer, 1972 (translated from the Russian).
Brélot, M.: Eléments de la théorie classique du potentiel, Sorbonne Univ. Centre Doc. Univ., Paris, 1969.
Netuka, I.: ‘The classical Dirichlet problem and its generalizations’, in Potential Theory, Copenhagen 1979, Lecture notes in math., Vol. 787, Springer, 1980, pp. 235–266.
Gaier, D.: Lectures on complex approximation, Birkhäuser, 1987 (translated from the German).
Kellogg, O.D.: Foundations of potential theory, F. Ungar, 1929. Re-issue: Springer, 1967.
Evans, G.C.: ‘Application of Poincaré’s swee**-out process’, Proc. Nat. Acad. Sci. USA 19 (1933), 457–461.
Keldysh, M.V.: ‘On the solvability and stability of the Dirichlet problem’, Uspekhi Mat. Nauk 8 (1941), 171–231 (in Russian).
Brélot, M.: Eléments de la théorie classique du potentiel, Sorbonne Univ. Centre Doc. Univ., Paris, 1969.
Kellogg, O.D.: ‘Harmonic functions and Green’s integral’, Trans. Amer. Math. Soc. 13, no. 1 (1912), 109–132.
Kellogg, O.D.: ‘On the derivatives of harmonic functions on the boundary’, Trans. Amer. Math. Soc. 33, no. 2 (1931), 486–510.
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Warschawski, S.E.: ‘On differentiability at the boundary in conformai map**’, Proc. Amer. Math. Soc. 12 (1961), 614–620.
Brélot, M: Eléments de la théorie classique du potentiel, Sorbonne Univ. Centre Doc. Univ., Paris, 1969.
Thomson, W.: Mathematical and physical papers, 3, Cambridge Univ. Press, 1980, p. 492.
Jahnke, E., Emde, F. and Lösch, F.: Tafeln höheren Funktionen, Teubner, 1966.
Gradshtein, I.S. and Ryzhk, I.M.: Tables of integrals, series and products, Acad. Press, 1973 (translated from the Russian).
Abramowitz, M. and Stegun, I.A.: Handbook of mathematical functions, Dover, reprint, 1965.
Thomson, W.: ‘Extraits de deux letters adressées à M. Liouville’ J. Math. Pures Appl. 12 (1847), 256–264.
Vladimirov, V.S.: Equations of mathematical physics, Mir, 1984, Chapt. 5 (translated from the Russian).
Brélot, M.: Eléments de la théorie classique du potentiel, Sorbonne Univ. Centre Doc. Univ., Paris, 1969.
Helms, L.L.: Introduction to potential theory, Wiley, 1969 (translated from the German).
Wermer, J.: Potential theory, Lecture notes in math., 408, Springer, 1974.
Kelogy, O.D.: Foundations of potential theory, Dover, reprint, 1964.
Doob, J.L.: Classical potential theory and its probabilistic counterpart, Springer, 1984.
Kendall, M.G.: Rank correlation methods, Griffin, 1970.
Waerden, B.L. van der: Mathematische Statistik, Springer, 1957.
Bol’shev, L.N. and Smirnov, N.V.: Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow, 1983 (in Russian). Processed by L.S. Bark and E.S. Kedova.
Pearson, E.S. and Hartley, H.O.: Biometrica tables for statisticians, 1, Cambridge Univ. Press, 1956.
Subbotin, M.F.: A course in celestial mechanics, 1, Leningrad-Moscow, 1941 (in Russian).
Fitzpatrick, P.M.: Principles of celestial mechanics, Acad. Press, 1970.
Knopp, K.: ‘Zur Theorie des Limitierungsverfahren I’, Math. Z. 31 (1930), 97–127.
Knopp, K.: ‘Zur Theorie des Limitierungsverfahren II’, Math. Z. 31 (1930), 276–305.
Cooke, R.G.: Infinite matrices and sequence spaces, MacMillan, 1950.
Hardy, G.H.: Divergent series, Clarendon Press, 1949.
Kelley, J.L. and Namioka, I.: Linear topological spaces, v. Nostrand, 1963, Chapt. 5, Sect. 21.
Bary, N.K. [N.K. Bari]: A treatise on trigonometric series, Pergamon, 1964 (translated from the Russian).
Zygmund, A.: Trigonometric series, 1-2, Cambridge Univ. Press, 1988.
Gohberg, I. and Goldberg, S.: Basic operator theory, Birkhäuser, 1981.
Halmos, P.R. and Sunder, V.S.: Bounded integral operators on L 2 spaces, Springer, 1978.
Jörgens, K.: Lineare Integraloperatoren, Teubner, 1970.
Smirnov, V.I.: A course of higher mathematics, 4, Addison-Wesley, 1964 (translated from the Russian).
Zabreyko, P.P., et al. (eds.) [P.P. Zabreĭko]: Integral equations — a reference text, Noordhoff, 1975 (translated from the Russian).
Manes, F.G.: Algebraic categories, Springer, 1976, Chapt. 2,§1.
Schubert, H.: Kategorien, 2, Springer, 1970, Sect. 18.4.
MacLane, S.: Categories for the working mathematician, Springer, 1971, Sects. 3.3, 3.4.
Kerr, R.P.: ‘Gravitational field of a spinning mass as an example of algebraically special matrices’, Phys. Rev. Letters 11 (1963), 237–238.
Misner, C.W., Thorne, K.S. and Wheeler, J.: Gravitation, Freeman, 1973.
Rees, M., Ruffini, R. and Wheeler, J.: Black holes, gravitational waves and cosmology, Gordon & Breach, 1974.
Novikov, S.P.: ‘Homotopy-equivalent smooth manifolds I’ Izv. Akad. Nauk SSSR. Ser. Mat. 28, no. 2 (1964), 365–474 (in Russian).
Pontryagin, L.S.: Smooth manifolds and their applications in homology theory, Moscow, 1976 (in Russian).
Browder, W.: ‘The Kervaire invariant of framed manifolds and its generalization’, Ann. of Math. 90 (1969), 157–186.
Browder, W.: Surgery on simply-connected manifolds, Springer, 1972.
Kervaire, M.: ‘A manifold which does not admit any differentiable structure’, Comm. Math. Hetv. 34 (1960), 257–270.
Kervaire, M.A. and Milnor, J.W.: ‘Groups of homotopy spheres I’, Ann. Mat. 77, no. 3 (1963), 504–537.
Khinchin, A.Ya.:‘Ueber dyadische Brüche’, Math. Z. 18 (1923), 109–116.
Karlin, S.: ‘Orthogonal properties of independent functions’, Trans. Amer. Math. Soc. 66 (1949), 44–64.
Gaposhkin, V.F.: ‘Lacunary series and independent functions’, Russian Math. Surveys 21, no. 6 (1966), 1–82. (Uspekhi Mat. Nauk 21 (1966), 3-82)
Kahane, J.-P.: Some random series of Junctions, Cambridge Univ. Press, 1985.
Zygmund, A.: Trigonometric series, 1, Cambridge Univ. Press, 1988.
Khinchin, A. Ya.: ‘Sur une extension de l’intégrale de M. Denjoy’, C.R. Acad. Sci. Paris 162 (1916), 287–291.
Khinchin, A.Ya.: Mat. Sb. 30 (1918), 543–557.
Pesin, I.N.: Classical and modern integration theories, Acad. Press, 1970 (translated from the Russian).
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Khinchin, A.Ya.: ‘On the arithmetic of distribution laws’, Byull. Moskov. Gos. Univ. Sekt. A 1, no. 1 (1937), 6–17 (in Russian).
Parthasarathy, K.R., Rao, R. Ranga and Varadhan, S.R.: ‘Probability distribution on locally compact Abelian groups’, Illinois J. Math. 7 (1963), 337–369.
Kendall, D.G.: ‘Delphic semi-groups, infinitely divisible phenomena, and the arithmetic of p-functions’, Z. Wahrscheinlichkeitstheor. Verw. Geb. 9, no. 3 (1968), 163–195.
Davidson, R.: ‘Arithmetic and other properties of certain Delphic semi-groups’, Z. Wahrscheinlichkeitstheor. Verw. Geb. 10, no. 2 (1968), 120–172.
Ruzsa, L.Z. and Székely, G.J.: Algebraic probability theory, Wiley, 1988.
Lukacs, E.: Characteristic functions, Griffin, 1970.
Killing, W.: ‘Die Zusammensetzung der stetigen endlichen Transfomationsgruppen I’, Math. Ann. 31 (1888), 252–290.
Killing, W.: ‘Die Zusammensetzung der stetigen endlichen Transformationsgruppen II’, Math. Ann. 33 (1889), 1–48.
Killing, W.: ‘Die Zusammensetzung der stetigen endlichen Transformationsgruppen III’, Math. Ann. 34 (1889), 57–122.
Killing, W.: ‘Die Zusammensetzung der stetigen endlichen Transformationsgruppen IV’, Math. Ann. 36 (1890), 161–189.
Cartan, E.: ‘Sur la structure des groupes de transformations finis et continus’, in Oevres Complètes, Vol. 1, CNRS, 1984, pp. 137–288.
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French).
Kaplansky, I.: Lie algebras and locally compact groups, Chicago Univ. Press, 1971.
Naĭmark, M.A.: Theory of group representations. Springer, 1982 (translated from the Russian).
O’Raifeartaigh, L.: Group structure of gauge theories, Cambridge Univ. Press, 1986.
Varadarajan, V.S.: Lie groups, Lie algebras and their representations, Springer, reprint, 1984.
Humphreys, J.E.: Introduction to Lie algebras and representation theory, Springer, 1972.
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966.
Killing, W.: ‘Ueber die Grundlagen der Geometrie’, J. Reine Angew. Math. 109 (1892), 121–186.
Rashewski, P.K. [P.K. Rashevskiĭ]: Riemannsche Geometrie und Tensoranalyse, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Eisenhart, L.P.: Riemannian geometry, Princeton Univ. Press, 1949.
Helgason, S.: Differential geometry, Lie groups, and symmetric spaces, Acad. Press, 1978.
Kobayashi, S.: Transformation groups in differential geometry. Springer, 1972.
Kumpera, A. and Spencer, D.: Lie equations, 1. General theory, Princeton Univ. Press, 1972.
Kobayashi, S. and Nomizu, K.: Foundations of differential geometry, 2, Interscience, 1969.
Egorov, I.P.: ‘Motions in spaces of affine connection’, in Motions, spaces, affine connections, Kazan’, 1965, pp. 5-179 (in Russian).
Montroll, E.W. and Lebowitz, J. (eds.): Nonequilibrium phenomena, 1. The Boltzmann equation, North-Holland, 1983.
Vladimirov, V.S.: ‘Mathematical problems in the uniform-velocity theory of transport’, Trudy Mat. Inst. Steklov. 61 (1961) (in Russian).
Shikhov, S.B.: Questions in the mathematical theory of reactors. Linear analysis, Moscow, 1973 (in Russian).
Case, K. and Zweifel, P.: Linear transport theory, Addison-Wesley, 1967.
Kogan, M.N.: Ratified gas dynamics, Plenum Press, 1969 (translated from the Russian).
SiliN, V.P.: Introduction to the kinetic theory of gases, Moscow, 1971 (in Russian).
Sobolev, V.V.: Transfer of radiation energy in the atmospheres of stars and planets, Moscow, 1956 (in Russian).
Cercignani, C: Mathematical methods in kinetic theory, Plenum Press, 1969.
Cercignani, C: The Boltzmann equation and its applications, Springer, 1988.
Carleman, T.: Problèmes mathématiques dans la théorie kinétique des gaz, Mittag-Leffler Inst., 1957.
Bitsadze, A.V.: The equations of mathematical physics, Moscow, 1976 (in Russian).
Vladimirov, V.S.: The equations of mathematical physics, Mir, 1984 (translated from the Russian).
Bateman, H.: Partial differential equations of mathematical physics, Dover, 1944.
Mathisson, M.: ‘Eine neue Lösungsmethode für Differentialgleichungen von normalem hyperbolischem Typus’, Math. Ann. 107 (1932), 400–419.
Mathisson, M.: ‘Le problème de M. Hadamard rélatifs à la diffusion des ondes’, Acta Math. 71, no. 3–4 (1939), 249–282.
Mikhlin, S.G.: Linear partial differential equations, Moscow, 1977 (in Russian).
Sobolev, S.L.: ‘Sur une generalisation de la formule de Kirchhoff’, Dokl. Akad. Nauk SSSR 1, no. 6 (1933), 256–262.
Sobolev, S.L.: Applications of functional analysis in mathematical physics, Amer. Math. Soc., 1963 (translated from the Russian).
Smirnov, V.I.: A course of higher mathematics, 4, Addison-Wesley, 1964 (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).
Baker, B.B. and Copson, E.T.: The mathematical theory of Huygens’s principle, Clarendon Press, 1950.
Schwartz, L.: Théorie des distributions, 2, Hermann, 1951.
Kirchhoff, G.R.: ‘Vorlesungen über mathematischen Physik’, Ann. der Physik 18 (1883).
Hönl, H., Maue, A.-W. and Westpfahl, K.: ‘Theorie der Beugung’, in S. Flügge (ed.): Handbuch der Physik, Vol. 25/1, Springer, 1961, pp. 218–573.
Rubinowicz, A.: Die Beugungswelle in der Kirchhoffschen Theorie der Beugung, PWN, 1957.
Kleene, S.C.: ‘Recursive predicates and quantifiers’, Trans. Amer. Math. Soc. 53 (1943), 41–73.
Mostowski, A.: ‘On definable sets of positive integers’, Fund Math., 34 (1947), 81–112.
Enderton, H.B.: ‘Elements of recursion theory’, in J. Barwise (ed.): Handbook of mathematical logic, North-Holland, 1977, pp. 527-566.
Klein, O.: Z. Phys. 37 (1926), 895–906.
Gordon, W.: Z. Phys. 40 (1926-1927), 117–133.
Pauli, W. and Weisskopf, V.: ‘Ueber die Quantisierung der skalaren relativistischen Wellengleichung’, Hebv. Phys. Acta 7 (1934), 709–731.
Bogolyubov, N.N. and Shirkov, D.V.: Introduction to the theory of quantized fields, Interscience, 1959 (translated from the Russian).
Schweber, S.: An introduction to relativistic quantum field theory, Harper & Row, 1962.
Hilgevoord, J.: Dispersion relations and causal description, North-Holland, 1960.
Jager, E.M. de: ‘The Lorentz-invariant solutions of the Klein-Gordon equation I–III’, Indag. Math. 25, no. 4 (1963). 515–531; 532-545; 546-558.
Roman, P.: Theory of elementary particles, North-Holland, 1960.
Björken, J.D. and Drell, S.D.: Relativistic quantum mechanics. McGraw-Hill. 1964.
Klein, F.: ‘Ueber die sogenannte Nicht-Euklidische Geometrie’, Gött. Nachr. (1871), 419-433.
Kagan, V.F.: Foundations of geometry, 2, Moscow, 1956 (in Russian).
Efimov, N.V.: Höhere Geometrie, Deutsch. Verlag Wissenschaft., 1960 (translated from the Russian).
Pogorelov, A.V.: Foundations of geometry, Noordhoff, 1966 (translated from the Russian).
Norden, A.P.: Elementare Einführung in die Lobatschewskische Geometrie, Deutsch. Verlag Wissenschaft., 1958 (translated from the Russian).
Coxeter, H.S.M.: Non-Euclidean geometry, Univ. Toronto Press, 1957.
Blackett, D.W.: Elementary topology, Acad. Press, 1967.
Jänich, K.: Topology, Springer, 1984.
Mayer, J.: Algebraic topology, Prentice-Hall, 1972.
Poincaré, H.: ‘Mémoire sur les groupes kleinéens’, Acta Math. 3 (1883), 49–92.
Klein, F.: ‘Neue Beiträge zur Riemannschen Funktionentheorie’, Math. Ann. 21 (1883), 141–218.
Ford, L.R.: Automorphic fonctions, Chelsea, reprint, 1951.
Lehner, I.: Discontinuous groups and automorphic functions, Amer. Math. Soc., 1964.
Kra, I.: Automorphic forms and Kleinian groups, Benjamin, 1972.
Krushkal’, S.L.: Quasiconformal map**s and Riemann surfaces, Winston, 1979 (translated from the Russian).
Bers, L. and Kra, I. (eds.): A crash course on Kleinian groups, Lecture notes in math., 400, Springer, 1974.
Maskit, B.: Kleinian groups, Springer, 1988.
Kra, I. and Maskit, B. (eds.): Riemann surfaces and related topics: Proc. 1978 Stony Brook Conf., Princeton Univ. Press, 1981.
Farkas, H.M. and Kra, I.: Riemann surfaces. Springer, 1980.
Knaster, B.: ‘Un continu dont tout sous-continu est indécomposable’, Fund Math. 3 (1922), 247–286.
Mazurkiewicz, S.: ‘Sur les continus absolument indécomposables’, Fund Math. 16 (1930), 151–159.
Kneser, H.: ‘Reguläre Kurvenscharen auf Ringflächen’, Math. Ann. 91, no. 1–2 (1924), 135–154.
Reinhart, B.L.: ‘Line elements on the torus’, Amer. J. Math. 81, no. 3 (1959), 617–631.
Aepply, A. and Markus, L.: ‘Integral equivalence of vector fields on manifolds and bifurcation of differential systems’, Amer. J. Math. 85, no. 4 (1963), 633–654.
Camacho, C. and Neto, A.L.: Geometric theory of foliations, Birkhäuser, 1985.
Hector, G. and Hirsch, U.: Introduction to the geometry of foliations, Viehweg & Sohn, 1981.
Tits, J.: ‘Algebraic and abstract simple groups’, Ann. of Math. 80, no. 2 (1964), 313–329.
Platonov, V.P.: ‘The problem of strong approximation and the Kneser—Tits conjecture for algebraic groups’, Math. USSR Izv. 3, no. 6 (1969), 1135–1148. (Izv. Akad. Nauk SSSR. Ser. Mat. 33, no. 6 (1969), 1121-1220)
Platonov, V.P.: ‘Arithmetic and structural problems in linear algebraic groups’, Transi Amer. Math. Soc. (2) 109 (1977), 21–26. (Proc. Internat. Congr. Mathematicians Vancouver (1974), 471-476)
Platonov, V.P.: ‘On the Tannaka—Artin problem’, Soviet Math. Dokl. 16 (1975), 468–473. (Dokl. Akad. Nauk SSSR 221, no. 5 (1975), 1038-1041)
Platonov, V.P.: ‘The Tannaka-Artin problem and reduced K-theoiy’, Math. USSR Izv. 40, no. 2 (1976), 211–244. (Izv. Akad, Nauk SSSR. Ser. Mat. 40, no. 2 (1976), 227-261)
Platonov, V.P.: ‘The infinitude of the reduced Whitehead group in the Tannaka—Artin problem’, Math. USSR Sb. 29 (1976), 167–176. (Mat. Sb. 100, no. 2 (1976), 191-200)
Platonov, V.P. and Yanchevskiĭ, V.I.: ‘On the Kneser—Tits conjecture for unitary groups’, Soviet Math. Dokl. 16 (1975), 1456–1460. (Dokl. Akad. Nauk SSSR 225, no. 1 (1975), 48-51)
Prasad, G. and Raghunathan, M.S.: ‘On the Kneser-Tits problem’, Math. Helv. 60 (1986), 107–121.
Tits, J.: ‘Groupes de Whitehead de groupes algébriques simples sur un corps (d’après V.P. Platonov et al.)’, in Sém. Bourbaki Exp. 505 (1976/77), Lecture Notes in Math., Vol. 677, Springer, 1978, pp. 218–236.
Reidemeistbr, K.: Knotentheorie, Chelsea, reprint, 1948.
Alexander, J.W.: ‘A lemma on systems of knotted curves’, Proc. Nat. Acad. Sci. USA 9 (1923), 93–95.
Birman, J.S.: Braids, links and map** class groups, Princeton Univ. Press, 1975.
Kauffman, L.H.: On knots, Princeton Univ. Press, 1987.
Crowell, R.H. and Fox, R.H.: Introduction to knot theory, Ginn, 1963.
Rolfsen, D.: Knots and links, Publish or Perish, 1976.
Crowell, R.H. and Fox, R.H.: Introduction to knot theory, Ginn, 1963.
Neuwirth, L.P.: Knot groups, Princeton Univ. Press, 1965.
Hillman, J.A.: Alexander ideals of links, Springer, 1981.
Gordon, C.McA.: ‘Some aspects of classical knot theory’, in Knot theory. Proc. Sem. Plans-sur-Bex, 1977, Lecture notes in math., Vol. 685, Springer, 1978, pp. 1–60.
Eckmann, B.: ‘Aspherical manifolds and higher-dimensional knots’, Comm. Math. Heb. 51 (1976), 93–98.
Reidemeister, K.: ‘Ueber Knotengruppen’, Abh. Math. Sem. Univ. Hamburg 6 (1928), 56–64.
Hotz, G.: ‘Arkandenfadendarstellung von Knoten und eine neue Darstellung der Knotengruppe’, Abh. Math. Sem Univ. Hamburg 24 (1960), 132–148.
Trotter, H.F.: ‘Homology of group systems with applications to knot theory’, Ann. of Math. 76 (1962), 464–498.
Trotter, H.F.: ‘Non-invertible knots exist’, Topology 2 (1964), 275–280.
Burde, G. and Zieschang, H.: ‘Eine Kennzeichnung der Torusknotten’, Math. Ann. 167 (1966), 169–176.
Lyndon, R.C. and Schapp, P.E.: Combinatorial group theory, Springer, 1977, p. Chapt. II, Sect. 2.
Kauffman, L.: On knots, Princeton Univ. Press, 1987.
Birman, J.S.: Braids, links and map** class groups, Princeton Univ. Press, 1974.
Rolfsen, D.: Knots and links, Publish or Perish, 1976.
Burde, G.: ‘Knoten’, in Jahrbuch Ueberblicke Mathematik, B.I. Mannheim, 1978, pp. 131-147.
Rolfsen, D.: Knots and links, Publish or Perish, 1976.
Crowell, R.H. and Fox, R.H.: Introduction to knot theory, Ginn, 1963.
Milnor, J.: Singular points of complex hypersurfaces, Princeton Univ. Press, 1968.
Mandelbaum, R.: ‘Four-dimensional topology’, Bull. Amer. Math. Soc. 2 (1980), 1–159.
Viro, O.Ya.: ‘Linkings, two-sheeted branched coverings and braids’, Math. USSR Sb. 16 (1972), 223–236. (Mat. Sb. 87 (1972), 216-228)
Matveev, S.V.: ‘Distributive groupoids in knot theory’, Math. USSR Sb. 47 (1984), 73–83. (Mat. Sb. 119 (1982), 78-88)
Farber, M.Sh.: ‘The classification of simple knots’, Russian Math. Surveys 38, no. 5 (1983), 63–117. (Uspekhi Mat. Nauk 38, no. 5 (1983), 59-106)
Listing, J.B.: Vorstudien zur Topologie, Göttingen, 1848.
Hillman, J.A.: Alexander ideals of links, Springer, 1981.
Gordon, C.McA.: ‘Some aspects of clasical knot theory’, in Knot Theory, Lecture notes in math., Vol. 685, Springer, 1978, pp. 1–60.
Kirby, R.C.: ‘Problems in low dimensional manifold theory’, in Algebraic geometry and geometric topology, Proc. Symp. Pure Math., Vol. 32, Amer. Math. Soc., 1978, pp. 273–312.
Simon, J.: ‘An algebraic classification of knots in S 3’, Ann. of Math. 97 (1973), 1–13.
Rolfsen, D.: ‘Isotopy of links in codimension two’, J. Indian Math. Soc. 36 (1972), 263–278.
Levine, J.: ‘Knot modules I’ Trans. Amer. Math. Soc. 229 (1977), 1–50.
Giller, C.A.: ‘A family of links and the Conway calculus’, Trans. Amer. Math. Soc. 270 (1982), 75–109.
Farber, M.Sh.: ‘Isotopy types of knots of codimension two’, Trans. Amer. Math. Soc. 261 (1980), 185–209.
Schubert, H.: ‘Knoten mit zwei Brücken’, Math. Z. 65 (1956), 133–170.
Conway, J.H.: ‘An enumeration of knots and links, and some of their algebraic properties’, in Computational problems in abstract algebra, Pergamon, 1970, pp. 329-358.
Franks, J.M.: ‘Knots, links and symbolic dynamics’, Ann. of Math. 113 (1981), 529–552.
Birman, J.S. and Williams, R.F.: ‘Knotted periodic orbits in dynamical systems. I Lorenz’s equations’, Topology 22 (1983), 47–82.
Rolfsen, D.: Knots and links, Publish or Perish, 1976.
Kauffman, L.: On knots, Princeton Univ. Press, 1987, Sect. 18; Appendix.
Birman, J.S.: Braids, links and map** class groups, Princeton Univ. Press, 1975.
Jones, V.F.R.: ‘A polynomial invariant for knots and links via von Neumann algebras’, Bull. Amer. Math. Soc. 12 (1985), 103–111.
Jones, V.F.R.: ‘Hecke algebra representations of braid groups and link polynomials’, Ann. of Math. 126 (1987), 335–388.
Kauffman, L.H.: State models for link polynomials, Reprint, M/88/46, IHES, 1988.
Turaev, V.G.: ‘The Yang—Baxter equation and invariants of links’, Invent. Math. 92 (1988), 527–553.
Witten, E.: ‘Quantum field theory and the Jones polynomial’, in IAMP congress, Swansea, July 1988.
Freyd, P., Yetter, D., Hoste, J., Lickorish, W.R.R., Millett, K. and Ocneanu, A.: ‘A new polynomial invariant of knots and links’, Bull. Amer. Math. Soc. 12 (1985), 239–246.
Kauffman, L.: ‘State models and the Jones polynomial’, Topology 26 (1987), 395–407.
Przytycki, J.H. and Traczyk, P.: ‘Invariants of links of Conway type’, Kobe J. Math. 4 (1987), 115–139.
Akutsu, Y. and Wadati, M: ‘Knots, kinks, braids and exactly solvable models in statistical mechanics’, Comm. Math. Phys. 117 (1988), 243–259.
Kolata, G.: ‘Solving knotty problems in math and biology’, Science 231 (1986), 1506–1508.
Pohl, W.F.: ‘DNA and differential geometry’, Math. Intelligencer 3 (1980), 20–27.
Reidemeister, K.: Knotentheorie, Chelsea, reprint, 1948.
Goeritz, L.: ‘Knoten und quadratische Formen’, Math. Z. 36 (1933), 647–654.
Seifert, H.: ‘Die Verschlingungsinvarianten der zyklischen Knotenüberlagerungen’, Abh. Math. Sem. Univ. Hamburg 11 (1935), 84–101.
Kneser, M. and Puppe, D.: ‘Quadratische Formen und Verschlingungsinvarianten von Knoten’, Math. Z. 58 (1953), 376–384.
Blanchfield, R.C. and Fox, R.H.: ‘Invariants of self-linking’, Ann. of Math. 53 (1951), 556–564.
Trotter, H.F.: ‘Homology of group systems with applications to knot theory’, Ann. of Math. 76 (1962), 464–468.
Murasugi, K.: ‘On a certain numerical invariant of link types’, Trans. Amer. Math. Soc. 117 (1965), 387–422.
Tristram, A.: ‘Some cobordism invariants for links’, Proc. Cambridge Philos. Soc. 66 (1969), 251–264.
Viro, O.Ya.: ‘Branched coverings of manifolds with boundary and link invariants I’, Math. USSR Izv. 7 (1973), 1239–1256. (Izv. Akad. Nauk SSSR Ser. Mat. 37 (1973), 1242-1258)
Rolfsen, D.: Knots and links, Publish or Perish, 1976.
Crowell, R.H. and Fox, R.H.: Introduction to knot theory, Ginn, 1963.
Shafarevich, I.R.: ‘Algebraic surfaces’, Proc. Steklov Inst. Math. 75 (1967). (Trudy Mat. Inst. Steklov. 75 (1965))
Ueno, K.: Classification theory of algebraic varieties and compact complex spaces, Springer, 1975.
Iitaka, S.: ‘On D-dimensions of algebraic varieties’, J. Math. Soc. Japan 23 (1971), 356–373.
Barth, W., Peters, C. and Ven, A. van de: Compact complex surfaces, Springer, 1984.
Iitaka, S.: Algebraic geometry, Springer, 1982, Chapt. 10.
Kodaira, K.: ‘On a differential geometric method in the theory of analytic stacks’, Proc. Nat. Acad. Sci. USA 39 (1953), 1268–1273.
Wells, R.O., Jr.: Differential analysis on complex manifolds, Springer, 1980.
Mumford, D.: ‘Pathologies III’, Amer. J. Math. 89, no. 1 (1967), 94–104.
Zariski, O.: Algebraic surfaces, Springer, 1971.
Onishchik, A.L.: ‘Pseudoconvexity in the theory of complex spaces’, J. Soviet Math. 14, no. 4 (1980), 1363–1407. (Itogi Nauk. Algebra Topol. Geom. 15 (1977), 93-171)
Raynaud, M.: ‘Contre-example du “vanishing theorem” en caractéristique p>0’, in C.P. Ramanujam. A tribute, Springer, 1978, pp. 273-278.
Viehweg, E.: ‘Vanishing theorems and positivity in algebraic fibre spaces’, in Proc. Internat. Congress Mathematicians Berkeley, 1986, Vol. 1, Amer. Math. Soc., 1987, pp. 682–688.
Kollar, J.: ‘Vanishing theorems for cohomology groups’, in S.J. Bloch (ed.): Algebraic Geometry Bowdoin, 1985, Proc. Symp. Pure Math., Vol. 46, Amer. Math. Soc., 1987, pp. 233–243.
Koebe, P.: ‘Ueber die Uniformisicrung beliebiger analytischen Kurven’, Math, Ann. 69 (1910), 1–81.
Hayman, W.K.: ‘Coefficient problems for univalent functions and related function classes’, J. London Math. Soc. 40, no. 3 (1965), 385–406.
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Koebe, P.: ‘Ueber die Uniformisierung beliebiger analytischer Kurven’, Nachr. K Ges. Wissenschaft. Göttingen Math. Phys. Kl. 2 (1907), 191–210.
Koebe, P.: ‘Ueber die Uniformisierung der algebraischen Kurven durch automorphe Funktionen mit imaginären Substitutionsgruppe’, Nachr. K. Ges. Wissenschaft. Göttingen Math. Phys. Kl. 4 (1908), 68–76.
Koebe, P.: ‘Ueber die Uniformisierung der algebraischen Kurven II’, Math. Ann. 69 (1910), 1–81.
Koebe, P.: ‘Abhandlung zur Theorie der konformen Abbildung IV’, Acta Math. 41 (1918), 305–344.
Koebe, P.: ‘Abhandlung zur Theorie der konformen Abbildung V’, Math. Z 2 (1918), 198–236.
Goluzin, G.M.: ‘Intrinsic problems in the theory of univalent functions’, Uspekhi Mat. Nauk 6 (1939), 26–89 (in Russian).
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Jenkins, J.A.: Univalent functions and conformai map**, Springer, 1958.
Minda, C.D.: ‘Bloch constants’, J. d’Analyse Math. 41 (1982), 54–84.
Conway, J.B.: Functions of a complex variable, Springer, 1978.
Aleksandrov, P.S.: Introduction to set theory and generai topology, Moscow, 1977 (in Russian).
Alexandrov, P.S. [P.S. Aleksandrov]: ‘Diskrete Räume’, Mat. Sb. 1(43) (1937), 501–519.
Chapman, S.: Proc. Roy. Soc. Ser. A 119 (1928), 34–54.
Kolmogoroff, A. [A.N. Kolmogorov]: ‘Ueber die analytischen Methoden in der Wahrschinlicheisrechung’, Math. Ann. 104 (1931), 415–458.
Gihman, L.I. [I.I. Gikhman] and Skorohod, A.V. [A.V. Skorokhod]: The theory of stochastic processes, 2, Springer, 1975 (translated from the Russian).
Lévy, P.: Processus stochastiques et mouvement Brownien, Gauthier-Villars, 1965.
Dynkin, E.B.: Markov processes, 1, Springer, 1965, Sect. 5.26 (translated from the Russian).
Feller, W.: An introduction to probability theory and its applications, 1, Wiley, 1966, Chapt. XV. 13.
Kolmogorov, A.N.: ‘Les groupes de Betti des espaces localement bicompacts’, C.R. Acad. Sci. 202 (1936), 1144–1147.
Kolmogorov, A.N.: ‘Propriétés des groupes de Betti des espaces localement bicompacts’, C.K Acad. Sci. 202 (1936), 1325–1327.
Kolmogorov, A.N.: ‘Les groupes de Betti des espaces métriques’, C.R. Acad. Sci. 202 (1936), 1558–1560.
Kolmogorov, A.N.: ‘Cycles rélatifs. Théorème de dualité de M. Alexander’, C.R. Acad. Sci. 202 (1936), 1641–1643.
Mdzinarishvni, L.D.: ‘On Kolmogorov’s duality law’, Soviet Math. Dokl. 15 (1974), 840–843. (Dokl. Akad. Nauk SSSR 216, no. 3 (1974), 502-504)
Aleksandrov, P.S.: ‘General theory of homology’, Uchen. Zap. Moscov. Gas. Univ. 45 (1940), 3–60 (in Russian).
Chogoshvili, G.S.: ‘On the equivalence of functional and spectral homology theory’, Izv. Akad. Nauk SSSR. Ser. Mat. 15, no. 5 (1951), 421–438 (in Russian).
Steenrod, N.E. and Eilenberg, S.: Foundations of algebraic topology, Princeton Univ. Press, 1966.
Balavadze, M.B.: ‘On Kolmogorov’s duality theory’, Trudy Tbilisi Mat. Inst. 41 (1972), 5–40 (in Russian).
Mdzinarishvili, L.D.: ‘The equivalence of Kolmogorov’s and Steenrod’s homology theories’, Trudy Tbilisi Mat. Inst. 41 (1972), 143–163 (in Russian). French and Georgian summaries.
Steenrod, N.: ‘Regular cycles of compact metric spaces’, Ann. of Math. 41 (1940), 833–851.
Alexander, J.W.: ‘On the chains of a complex and their duals’, Proc. Nat Acad. Sci. USA 21 (1935), 509–512.
Spanier, E.H.: ‘Cohomology theory for general spaces’, Ann. of Math. 49 (1948), 407–427.
Milnor, J.W.: ‘On axiomatic homology theory’, Pacific J. Math. 12 (1962), 337–341.
Kolmogorov, A.N.: ‘Ueber die analytischen Methoden in der Wahrscheinlichkeitsrechnung’, Math. Ann. 104 (1931), 415–458.
Gihman, L.I. [I. I. Gkhman] and Skorohod, A.V. [A.V. Skorokhod]: The theory of stochastic processes, 2, Springer, 1979 (translated from the Russian).
Lévy, P.: Processus stochastiques et mouvement Brownien, Gauthier-Villars, 1965.
Dynkin, E.B.: Markov processes, 1, Springer, 1965, Sect. 5.26 (translated from the Russian).
Feller, W.: An introduction to probability theory and its applications, 1, Wiley, 1966, Chapt. XV.13.
Kolmogorov, A.N.: ‘On inequalities between the upper bounds of the successive derivatives of an arbitrary function on an infinite interval’, Transi Amer. Math. Soc. (1) 2 (1962), 233–243. (Uchen. Zap. Moskov. Univ. Mat. 3, no. 30 (1939), 3-16)
Stechkin, S.B.: ‘Best approximation of linear operators’, Math. Notes 1 (1967), 91–99. (Mat. Zametki 1, no. 2 (1967), 137-148)
Taĭkov, L.V.: ‘Kolmogorov-type inequalities and the best formulas for numerical differentiation’, Math. Notes 4 (1968), 631–634. (Mat. Zametki 4, no. 2 (1968), 233-238)
Arestov, V.V.: ‘Precise inequalities between norms of functions and their derivatives’, Acta Sci. Math. 33 (1972), 243–267 (in Russian).
Landau, E.: ‘Einige Ungleichungen für zweimal differentierbare Funktionen’, Proc. London Math. Soc. 13 (1913), 43–49.
Morsche, H.G. ter: Interpolation and extremal properties of ℒ-spline functions, Univ. Eindhoven, 1982. Thesis.
Schoenberg, I.J. and Cavaretta, A.:’ solution of Landau’s problem concerning higher derivatives on the halfline’, in Proc. Internat. Conf. Constructive Function Theory, Bulgarian Acad. Sci., 1972, pp. 297-308.
Schoenberg, I.J.: ‘The elementary cases of Landau’s problem of inequalities between derivatives’, Amer. Math. Monthly 80 (1973), 121–158.
Kaper, H.G. and Spellman, B.E.: ‘Best constants in norm inequalities for the difference operator’, Trans. Amer. Math. Soc. 299 (1987). 351–372.
Kolmogorov, A.N.: ‘Ueber die Summen durch den Zufall bestimmter unabhängiger Grössen’, Math. Ann. 99 (1928), 309–319.
Kolmogorov, A.N.: ‘Bemerkungen zur meiner Arbeit ‘Ueber die Summen durch den Zufall bestimmter unabhängiger Grossen’’, Math. Ann. 102 (1929), 484–488.
Kolmogorov, A.N.: Foundations of the theory of probability, Chelsea, reprint, 1950 (translated from the German).
Loève, M.: Probability theory, Princeton Univ. Press, 1963.
Feller, W.: An introduction to probability theory and its applications, 2, Wiley, 1966, Sect. VII.8.
Kolmogoroff, A. [A.N. Kolmogorov]: ‘Untersuchungen über den Integralbegriff’, Math. Ann. 103 (1930), 654–696.
Kolmogorov, A.N. and Seliverstov, G.A.: ‘Sur la convergence des series de Fourier’, C.R. Acad. Sci. Paris 178 (1924), 303–306.
Kolmogorov, A.N. and Selliverstov, G.A.: ‘Sur la convergence des séries de Fourier’, Atti Accad. Naz. Lincei 3 (1926), 307–310.
Plessner, A.I.: ‘Ueber Konvergenz von trigonometrischen Reihen’, J. Reine Angew. Math. 155 (1925), 15–25.
Kaczmarz, S.: ‘Sur la convergence et la sommabilité des développements orthogonaux’, Studia Math. 1, no. 1 (1929), 87–121.
Smirnov, N.V.: ‘Approximate distribution laws for random variables, constructed from empirical data’, Uspekhi Mat. Nauk 10 (1944), 179–206 (in Russian).
Bol’shev, L.N.: ‘Asymptotically Pearson transformations’, Theor. Probab. Appl. 8 (1963), 121–146. (Tear. Veroyatnost. Primerien. 8, no. 2 (1963), 129-155)
Bol’shev, L.N. and Smirnov, N.V.: Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow, 1983 (in Russian). Processed by L.S. Bark and E.S. Kedova.
Waerden, B.L. van der: Mathematische Statistik, Springer, 1957.
Noether, G.E.: ‘A brief survey of nonparametric statistics’, in R.V. Hogg (ed.): Studies in statistics, Math. Assoc. Amer., 1978, pp. 39-65.
Hollander, M. and Wolfe, D.A.: Nonparametric statistical methods, Wiley, 1973.
Kolmogorov, A.N.: ‘Sulla determinizione empirica di una legge di distribuzione’, Giorru Ist. Ital. Attuali 4 (1933), 83–91.
Smirnov, N.V.: ‘On estimating the discrepancy between empirical distribiution curves for two independent samples’, Byull. Moskov. Gos. Univ. Ser. A 2, no. 2 (1938), 3–14 (in Russian).
Bol’shev, L.N.: ‘Asymptotically Pearson transformations’, Theor. Probat. Appl. 8 (1963), 121–146. (Teor. Veroyatnost. Primerien. 8 (1963), 129-155)
Bol’shev, L.N. and Smirnov, N.V.: Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow, 1983 (in Russian). Processed by L.S. Bark and E.S. Kedova.
Noether, G.E.:‘A brief survey of nonparametric statistics’, in R.V. Hogg (ed.): Studies in statistics, Math. Assoc. Amer., 1978, pp. 3-65.
Hollander, M. and Wolfe, D.A.: Nonparametric statistical methods, Wiley, 1973.
König, D.: ‘Graphs and matrices’, Mat. Lapok 38 (1931), 116–119 (in Hungarian).
Harary, F.: Graph theory, Addison-Wesley, 1969.
Lewin, M.: ‘Essential coverings of a matrix’, Proc. Cambridge Philos. Soc. 67 (1970), 263–267.
Wilson, R.J.: Introduction to graph theory, Longman, 1972, §27.
Walther, Hj.: Ten applications of graph theory, Reidel, 1984, Sect. 6.1.
Kontorovich, M.I. and Lebedev, N.N.: ‘A method for the solution of problems in diffraction theory and related topics’, Zh. Eksper. i. Toer. Fiz. 8, no. 10–11 (1938), 1192–1206 (in Russian).
Lebedev, N.N.: Dokl. Akad. Nauk SSSR 52, no. 5 (1945), 395–398.
Uflyand, Ya.S. and Yushkova, E.: Dokl. Akad. Nauk SSSR 164, no. 1 (1965), 70–72.
Ditkin, V.A. and Prudnikov, A.P.: Integral transforms and operational calculus, Pergamon, 1965 (translated from the Russian).
Erdelyi, A., Magnus, W. and Oberhettinger, F.: Tables of integral transforms, 1-2, McGraw-Hill, 1954, Chapt. XII.
Sneddon, I.N.: The use of integral transforms, McGraw-Hill, 1972, Chapt. 6.
Fichera, G.: ‘Existence theorems in elasticity theory’, in Handbuch der Physik, Vol. VIa/2, Springer, 1972, pp. 347–389.
Korteweg, D. and Vries, G. de: ‘On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves’, Phil Mag. 39 (1895), 422–443.
Gardner, C.S., Greene, J.M., Kruskal, M.D. [M.D. Krushkal’] and Miura, R.M.: ‘Method for solving the Korteweg—de Vries equation’, Phys. Rev. Letters 19 (1967), 1095–1097.
Zakharov, V.E. and Faddeev, L.D.: ‘Korteweg-de Vries equation, a completely integrable Hamiltonian system’, Funct. Anal Appl. 5 (1971), 280–287. (Funkt. Anal. Prilozhen. 5, no. 4 (1971), 18-27)
Marchenko, V.A.: Spectral theory of Sturm—Liouville operators, Kiev, 1972.
Dubrovin, B.A., Matveev, V.B. and Novikov, S.P.: ‘Nonlinear equations of Korteweg—de Vries type, finite-zone linear operators and Abelian varieties’, Russian Math. Surveys 31, no. 1 (1976), 59–146. (Uspekhi Mat. Nauk 31, no. 1 (1976), 55-136)
Kunin, I.A.: Theory of elastic media with a microstructure, Moscow, 1975 (in Russian).
Ablowitz, M.J. and Segur, H.: Solitons and the inverse scattering transform, SIAM, 1981.
Lamb, G.L.: Elements of soliton theory, Wiley, 1980.
Newell, A.C.: Solitons in mathematics and physics, SIAM, 1986.
Caligero, F. and Degasperis, A.: Spectral transform and solitons, 1, North-Holland, 1982.
Drinfel’d, V.G. and Sokolov, V.V.: ‘Lie algebras and equations of Korteweg-de Vries type’, J. Soviet Math. 30 (1985), 1975–2005. (Itogi Nauk. i Tekhn. Sovrem. Probi. Mat. 24 (1984), 81-180)
Faddeev, L.D. and Takhtajan, L.A. [L.A. Takhtayan]: Hamiltonian methods in the theory of solitons, Springer, 1987 (translated from the Russian).
Takhtajan, L.A. [LA. Takhtayan]: ‘Integrable models in classical and quantum field theory’, in Proc. Internat. Congress Mathematicians Warszawa, 1983, PWN & North-Holland, 1984, pp. 1331-1346.
Toda, M.: Nonlinear waves and solitons, Kluwer, 1989.
Marchenko, V.A.: Nonlinear equations and operator algebras, Reidel, 1988.
Novikov, S., Manakov, S.V., Pitaevskiĭ, L.P. and Zakharov, V.E.: Theory of solitons, Consultants Bureau, 1984 (translated from the Russian).
Grothendieck, A.: Local cohomology, Lectures notes in math., 41, Springer, 1967.
Herzog, J. and Kunz, E. (eds.): Der kanonische Modul eines Cohen-Macaulay-Rings, Lecture notes in math., 238, Springer, 1971.
Matsumura, H.: Commutative algebra, Benjamin, 1970.
Northcott, D.G.: Lessons on rings, modules, and multiplicities, Cambridge Univ. Press, 1968.
Kotbl’nikov, A.P.: Projective theory of vectors, Kazan’, 1899 (in Russian).
Study, E.: Geometrie der Dynamen, Teubner, 1903.
Rozenfel’d, B.A.: Non-Euclidean spaces, Moscow, 1969 (in Russian).
Rozenfel’d, B.A.: A history of non-Euclidean geometry, Springer, 1988 (translated from the Russian).
Krawtchouk, M.F.: ‘Sur une generalisation des polynômes d’Hermite’, C.R. Acod Sci Paris 189 (1929), 620–622.
Szegö, G.: Orthogonal polynomials, Amer. Math. Soc., 1975.
Lint, J.H. van: Introduction to coding theory, Springer, 1982.
Koornwinder, T.H.: ‘Krawtchouk polynomials, a unification of two different group theoretic interpretations’, SIAM J. Math. Anal. 13 (1982), 1011–1023.
Nikiforov, A.F. and Uvarov, V.B.: Special functions of mathematical physics, Birkhäuser, 1988 (translated from the Russian).
Stanton, D.: ‘Orthogonal polynomials and Chevalley groups’, in R.A. Askey, T.H. Koornwinder and W. Schempp (eds.): Special functions: group theoretical aspects and applications, Reidel, 1984, pp. 87-128.
Azizov, T.Ya and Iokhvidov, I.S.: ‘Linear operators in spaces with indefinite metric and their applications’, Russian Math. Surveys 15 (1981), 438–490. (ltogi Nauk. i Tekhn. Mat. Anal. 17 (1979), 113-205)
Azizov, T.Ya and Iokhvidov, I.S.: Foundations of the theory of linear operators in spaces with indefinite metric, Moscow, 1986 (in Russian).
Ando, T.: Linear operators in Kreĭn spaces, Hokkaido Univ., 1979.
Bognár, J.: Indefinite inner product spaces, Springer, 1974.
Daletskiĭ, Yu.L. and Kreĭn, M.G.: Stability of solutions of differential equations in Banach space, Amer. Math. Soc., 1974 (translated from the Russian).
Duksma, A. Langer, H. and Snoo, H.S.V. de: ‘Unitary colligations in Kreĭn spaces and their role in the extension theory of isometries and symmetric linear relations in Hilbert spaces’, in S. Kurepa, et al. (ed.): Foundationsl analysis II, Lecture notes in math., Vol. 1247, Springer, 1987, pp. 1–42.
Dijksma, A., Langer, H. and Snoo, H.S.V. de: ‘Symmetric Sturm—Liouville operators with eigenvalues depending boundary conditions’, in Oscillation, Bifurcations and Chaos, CMS Conf. Proa, Vol. 8, Amer. Math. Soc., 1987, pp. 87–116.
Gohberg, I., Lancaster, P. and Rodman, L.: Matrices and indefinite scalar products, Birkhäuser, 1983.
Iohvidov, I.S. [I.S. Iokhvidov], Kreĭn, M.G. and Langer, H.: Introduction to the spectral theory of operators in spaces with an indefinite metric, Akad. Verlag, 1982.
Istraţescu, V.I.: Inner product spaces. Theory and applications, Reidel, 1987.
Kreĭn, M.G.: ‘Introduction to the geometry of indefinite J-spaces and the theory of operators in these spaces’, in Second Math. Summer School, Vol. I, Kiev, 1965, pp. 15–92 (in Russian).
Kjeĭn, M.G. and Langer, H.: ‘Ueber einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im Räume πk zusammenhängen, I: Einige Funktionenklassen und ihre Darstellungen’, Math. Nachr. 77 (1977), 187–236.
Langer, H.: ‘Spectral functions of definitizable operators in Kreĭn spaces’, in D. Butković, et al. (ed.): Functional Analysis, Lecture notes in math., Vol. 948, Springer, 1982, pp. 1–46.
Langer, H.: ‘Invariante Teilräume definisierbarer J-selbstadjungierter Operatoren’, Ann. Acad. Sci. Fenn A. I 475(1971).
Milnor, J. and Husemoller, D.: Symmetric bilinear forms, Springer, 1973.
Phillips, R.S.: ‘The extensions of dual subspaces invariant under an algebra’, in Proc. Internat. Symp. Linear Spaces Jerusalem, 1960, Pergamon, 1961, pp. 366-398.
Bracci, L., Morchio, G. and Strocchi, F.: ‘Wigners theorem on symmetries in indefinite metric spaces’, Comm. Math. Phys. 41 (1975), 289–299.
Nagy, K.L.: State vector spaces with indefinite metric in quantum field theory, Noordhoff, 1966.
Naĭmark, M.A and Ismagilov, R.S.: ‘Representations of groups and algebras in a space with indefinite metric’, ltogi Nauk. i Tekhn. Mat Anal. (1969). 73-105 (in Russian).
Kreĭn, M.G. and Langer, H.: ‘On some mathematical principles in the linear theory of damped oscillations of continua’, Integral Equations, Operator Theory 1 (1978), 364–399; 539-566. (Proc. Internat. Symp. Appl. Theory of Functions in Continuum Mechanics, Tbilizi 2 (1963), 283-322)
Kripke, S.A.: ‘A completeness theorem in modal logic’, J. Symbolic Logic 24 (1959), 1–14.
Kripke, S.A.: ‘The undecidability of monadic modal quantification theory’, Z. Math. Logik Grundl. Math. 8 (1962), 113–116.
Kripke, S.A.: ‘Semantical analysis of modal logic, I’, Z. Math. Logik GrundL Math. 9 (1963), 67–96.
Kripke, S.A.:’ semantical analysis of modal logic, II’, in J.W. Addison, L. Henkin and A. Tarski (eds.): The theory of models, North-Holland, 1965, pp. 206-220.
Schütte, I.C: Vollständige Systeme modaler und intuitionistischer Logik, Springer, 1968.
Görnemann, S.: ‘A logic stronger than intuitionism’, J. Symbolic Logic 36 (1971), 249–261.
Cohen, P.J.: Set theory and the continuum hypothesis, Benjaman 1966.
Goldblatt, R.I.: Topoi: the categorial analysis of logic, North-Holland, 1979.
Bell, J.L.: Toposes and local set theories, Oxford Univ. Press, 1988.
Dummett, M.A.E.: Elements of intuitionism, Oxford Univ. Press, 1977.
Kripke, S.: ‘Semantical considerations on modal and intuitionistic logic’, Acta Philos. Fennica 16 (1963), 83–94.
Kripke, S.A.:’ semantical analysis of intuitionistic logic, I’, in J.N. Crossley and M.A.E. Dummett (eds.): Formal systems and recursive functions, North-Holland, 1965, pp. 92-130.
Kronecker, L.: Vorlesungen über die Theorie der Determinanten, Leipzig, 1903.
Capelli, A.: ‘Sopra la compatibilitá o incompatibilità di più equazioni di primo grado fra pici incognite’, Revista di Matematica 2 (1892), 54–58.
Kurosh, A.G.: Higher algebra, Mir, 1972 (translated from the Russian).
Kronecker, L.: ‘Ueber Systeme von Funktionen mehrer Variablen. Erster Abhandlung’, Monatsberichte (1869), 159-193.
Kronecker, L.: ‘Ueber Systeme von Funktionen mehrer Variablen. Zweite Abhandlung’, Monatsberichte (1869), 688-698.
Kronecker, L.: ‘Ueber Sturm’sche Funktionen’, Monatsberichte (1878), 95-121.
Chetaev, N.G.: Stability of motion, Moscow, 1946 (in Russian).
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation différentielle’, J. de Math. 7 (1881), 375–422.
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation différentielle’, J. de Math. 8 (1882), 251–296.
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation différentielle’, J. de Math. 1 (1885), 167–244.
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation différentielle’, J. de Math. 2 (1886), 151–217.
Hirsch, M.: Differential topology, Springer, 1976, Chapt. 5, Sect. 3.
Kronecker, L.: ‘Grundzüge einer arithmetischen Theorie der algebraischen Grössen’, J. Reine Angew. Math. 92 (1882), 1–122.
Okunev, L.Ya.: Higher algebra, Moscow, 1937 (in Russian).
Kurosh, A.G.: Higher algebra, Mir, 1972 (translated from the Russian).
Waerden, B.L. van der: Algebra, 1-2, Springer, 1967-1971 (translated from the German).
Kronecker, L.: Vorlesungen über die Theorie der Determinanten, Leipzig, 1903.
Kronecker, L.: ‘Näherungsweise ganzzahlige Auflösung linearer Gleichungen’, in Werke, Vol. 3, Chelsea, reprint, 1968, pp. 47–109.
Bourbaki, N.: Elements of mathematics. General topology, Addison-Wesley, 1966 (translated from the French).
Pontryagin, L.S.: Topological groups, Princeton Univ. Press, 1958 (translated from the Russian).
Hardy, G.H. and Wright, E.M.: An introduction to the theory of numbers, Oxford Univ. Press, 1979, Chapt. 23.
Cassels, J.W.S.: An introduction to diophantine approximation, Cambridge Univ. Press, 1957.
Krull, W.: ‘Algebraische Theorie der Ringe II’, Math. Ann. 91 (1924), 1–46.
Remak, R.: ‘Ueber die Zerlegung der endlichen Gruppen in direkte unzerlegbare Faktoren’, J. Reine Angew. Math. 139 (1911), 293–308.
Schmidt, O.J.: ‘Ueber unendliche Gruppen mit endlicher Kette’, Math. Z. 29 (1929), 34–41.
Kurosh, A.G.: The theory of groups, 1-2, Chelsea, 1955-1956 (translated from the Russian).
Lambek, J.: Lectures on rings and modules, Blaisdell, 1966.
Faith, C.: Algebra: rings, modules and categories, 1-2, Springer, 1973-1976.
hop Nauk. i Tekhn. Algebra. Topol. Geom. 14 (1976), 57-190.
Zariski, O. and Samuel, P.: Commutative algebra, 1, v. Nostrand, 1958, Chapt. IV, §4-5.
Riley, J.A.: Axiomatic primary and tertiary decomposition theory, 105, 1962, pp. 177–201.
Popescu, N.: Abelian categories with applications to rings and modules, Acad. Press, 1973, Chapt. V.
Krull, W.: ‘Allgemeine Bewertungstheorie’, J. Reine Angew. Math. 167 (1931), 160–196.
Zariski, O. and Samuel, P.: Commutative algebra, 2, Springer, 1975.
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Fossum, R.: The divisor class group of a Krull domain, Springer, 1973.
Krylov, N.M. and Bogolyubov, N.N.: Méthodes approchées de la mécanique non-linéaire dans leurs application à l’étude de la perturbation des mouvements périodiques de divers phénomènes de résonance s’y rapportant, Kiev, 1935.
Krylov, N.M. and Bogolyubov, N.N.: Introduction to nonlinear mechanics, Princeton Univ. Press, 1947 (translated from the Russian).
Bogolyubov, N.N.: On certain statistical methods in mathematical physics, Kiev, 1945 (in Russian).
Bogolyubov, N.N.: Sb. Tr. Inst. Stroitel Mekh. Akad. Nauk SSSR 14 (1950), 9–34.
Bogolyubov, N.N. and Mitropol’skiĭ, Yu.A.: Asymptotic methods in the theory of nonlinear oscillations, Gordon & Breach, 1961 (translated from the Russian).
Mitropol’skiĭ, Yu.A.: The method of averaging in non-linear mechanics, Kiev, 1971 (in Russian).
Mitropol’skiĭ, Yu.A.: Nonstationary processes in non-linear oscillatory systems, ATIC-270579 F-9085/V, Qir Techn. Intell. Transl., 1961 (translated from the Russian).
Volosov, V.M.: Mechanics in the USSR during 50 years, Vol. 1, Moscow, 1968, pp. 115–135 (in Russian).
Hale, J.K.: Oscillations in nonlinear systems, McGraw-Hill, 1963.
Nayfeh, A.: Perturbation methods, Wiley, 1973, Sect. 5.2, 5.4.
Volosov, V.M.: ‘Averaging in systems of ordinary differential equations’, Russian Math. Surveys 7 (1962), 1–26. (Uspekhi Mat Nauk 17, no. 6 (1962), 3-126)
Mitropolski, Yu.A.: Problems of the asymptotic theory of nonstationary vibrations, D. Davey, 1965 (translated from the Russian).
Fichtenholz, G.M.: Differential und Integralrechnung, 2, Deutsch. Verlag Wissenschaft, 1964.
Rainville, E.D.: Infinite series, Macmillan, 1967.
Lang, S.: Algebra, Addison-Wesley, 1974.
Cassels, J.W.S. and Fröhlich, A. (eds.): Algebraic number theory, Acad. Press, 1968.
Takahashi, S.: ‘Generation of Galois extensions by matrix roots’, J. Math. Soc. Japan 20, no. 1–2 (1968), 365–370.
Neukirch, J.: Class field theory, Springer, 1986, Chapt. 4, §4.
Hasse, H.: Vorlesungen über Zahlentheorie, Springer, 1950.
Davenport, H.: Multiplicative number theory, Springer, 1980.
Heath-Brown, D.R. and Patterson, S.I.: ‘The distribution of Kummer sums at prime arguments’, J. Reine Angew. Math. 310 (1979), 111–130.
Klein, F.: Development of mathematics in the 19th century, Math. Sci. Press, 1979 (translated from the German).
Hudson, R.W.H.T.: Kummer’s quartic surface, Cambridge, 1905.
Enriques, F.: Le superficie algebraiche, Bologna, 1949.
Barth, W., Peters, C. and Ven, A. van der: Compact complex surfaces, Springer, 1984.
Kummer, E.E: ‘Zur Theorie der complexen Zahlen’, J. Reine Angew. Math., 35 (1847), 319–326.
Cassels, J.W.S. and Fröhlich, A. (eds.): Algebraic number theory, Acad. Press, 1986.
Weiss, E.: Algebraic number theory, McGraw-Hill, 1963, Sects. 4-9.
Fichtenholz, G.M.: Differential und Integralrechnung, 2, Deutsch. Verlag Wissenschaft, 1964.
Knopp, K.: Infinite sequences and series, Dover, reprint, 1956 (translated from the German).
Künneth, H.: ‘Ueber die Bettische Zahlen einer Produktmannigfaltigkeit’, Math. Ann. 90 (1923), 65–85.
Künneth, H.: ‘Ueber die Torsionszahlen von Produktmannigfaltigkeiten’, Math. Ann. 91 (1924), 125–134.
Cartan, H. and Eilenberg, S.: Homological algebra, Princeton Univ. Press, 1956.
Dold, A.: Lectures on algebraic topology, Springer, 1980.
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966.
Atiyah, M.F.: K-theory: lectures, Benjamin, 1967.
Kaup, L.: ‘Eine Künnethformel für Fréchetgarben’, Math. Z. 97, no. 2 (1967), 158–168.
Grothendieck, A. and Dieudonné, J.: ‘Eléments de géométrie algébrique’, Publ. Math. IHES 17 (1963), Chapt. 3, Part 2.
Artin, M., et al. (eds.): Théorie des topos et cohomologie étale des schémas, 3, Springer, 1973.
Sampson, J. and Washnitzer, G.: ‘A Künneth formula for coherent algebraic sheaves’, Illinois J. Math. 3, no. 3 (1959), 389–402.
Conner, P.E. and Floyd, E.E.: Differentiable periodic maps, Springer, 1964.
Hartshorne, R.: Residues and duality, Springer, 1966.
Hodgkin, L.: The equivariant Künneth theorem in K-theory, Lecture notes in math., 496, Springer, 1975.
Kuratowski, C: ‘Sur le problème des courbes gauches en topologie’, Fund Math. 15 (1930), 271–283.
Harary, F.: Graph theory, Addison-Wesley, 1969.
Bodendieck, R. and Wagner, K.: ‘A characterization of the minimal basis of the torus’, Combinatorics 6 (1986), 245–260.
Boland, J.Ch.: ‘Embedding of graphs into orientable surfaces’, Indag. Math. 70 (1967), 33–44.
Houg, J., Mehlkorn, K. and Rosenberg, A.L.: ‘Cost trackoffs in graph embeddings, with applications’, J. Assoc. Comp. Machinery 30 (1983), 709–728.
Knaster, B. and Kuratowski, C: ‘Sur les ensembles connexes’, Fund Math. 2 (1921), 206–255.
Kuratowski, C.: ‘Une application des images de fonctions à la construction de certains ensembles singuliers’, Mathematica 6 (1932), 120–123.
Aleksandrov, P.S. and Pasynkov, B.A.: Introduction to dimension theory, Moscow, 1973 (in Russian).
Engelkino, R.: Dimension theory, PWN & North-Holland, 1978, p. 19; 50.
Sierpiński, W.: ‘Sur les ensembles connexes et non-connexes’, Fund. Math. 2 (1921), 81–95.
Mazurkiewicz, S.: ‘Sur les ensembles de dimension faibles’, Fund. Math. 13 (1929), 210–217.
Tomaszewski, B.: ‘On weakly n-dimensional spaces’, Fund. Math. 103 (1979), 1–8.
Christiansen, I.: ‘Numerical solution of ordinary simultaneous differential equations of the 1st order using a method for automatic step change’, Numer. Math., 14 (1970), 317–324.
Lukehart, P.M.: ‘Algorithm 218. Kutta Merson’, Comm. Assoc. Compta. Mach. 6, no. 12 (1963), 737–738.
Fox, L.: Numerical solution of ordinary and partial differential equations, Pergamon, 1962.
Lance, G.N.: Numerical methods for high speed computers, Iliffe, 1960.
Butcher, J.C.: The numerical analysis of ordinary differential equations, Runge— Kutta and general linear methods, Wiley, 1987.
Dormand, J.R. and Prince, P.J.: ‘A family of embedded Runge-Kutta formulae’, J. Comp. Appl. Math. 6 (1980), 19–26.
Fehlberg, E.: ‘Classical fifth-, sixth-, seventh-, and eighth-order Runge-Kutta formulas with stepsize control’, NASA Techn. Rep. 287. Abstract in: Computing 4 (1969), 93–106.
Fehlberg, E.: ‘Low-order classical Runge—Kutta formulas with stepsize control and their application to some heat transfer problems’, NASA Techn. Rep. 315. Abstract in: Computing 6 (1969). 61–71.
Hairer, E., Nørsett, S.P. and Wanner, G.: Solving ordinary differential problems, 1. Nonstiff problems, Springer, 1987.
Merson, R.H.: ‘An operational method for the study of integration processes’, in Proc. Symp. Data Processing, Weapons Res. Establ. Salisbury, 1957, pp. 110-125.
Fatunla, S.O.: Numerical methods for initial value problems in ordinary differential equations, Acad. Press, 1988.
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Shekhtman, V.V. et al. (1995). K. In: Hazewinkel, M. (eds) Encyclopaedia of Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3793-3_4
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