Edit Profile (opens in new tab) Gel’fand, Israil’ Moiseevich (b. 1913 d. 2009) Co-Author Distance Author ID: gelfand.israel-m Published as: Gel’fand, I. M.; Gelfand, I. M.; Gelfand, I.; Gelfand, Israel M.; Gelfand, Israel; Guelfand, I. M.; Gelfand, Izrail M.; Gel’fand, I.; Gel’fand, Israil’ Moiseevich; Gel’fand, Israel M.; Gel’fand, Izrail M. more...less Further Spellings: ישראל געלפֿאַנד; Гельфанд Израиль Моисеевич External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Awards: Wolf Prize (1978) · Kyoto Prize in Basic Sciences (1989) Documents Indexed: 538 Publications since 1936, including 70 Books and 3 Additional arXiv Preprints 6 Contributions as Editor · 1 Further Contribution Biographic References: 24 Publications Co-Authors: 177 Co-Authors with 482 Joint Publications 4,297 Co-Co-Authors all top 5 Co-Authors 60 single-authored 125 Graev, Mark Iosifovich 33 Retakh, Vladimir Solomonovich 31 Shilov, Georgiĭ Evgen’evich 27 Zelevinskiĭ, Andreĭ V. 25 Gindikin, Simon Grigorevich 23 Gel’fand, Sergeĭ Izrail’evich 21 Fuchs, Dmitry Borisovich 21 Naĭmark, Mark Aronovich 20 Bernstein, Joseph 19 Ponomarev, V. A. 17 Piatetski-Shapiro, Ilya 15 Kapranov, Mikhail M. 14 Borovik, Alexandre V. 14 Vershik, Anatoliĭ Moiseevich 13 Kirillov, Alexandre Aleksandrovich 12 Dickey, Leonid A. 12 Kolmogorov, Andreĭ Nikolaevich 12 Shapiro, Z. Ya. 11 Oleĭnik, Ol’ga Arsen’evna 10 Fokas, Athanassios 10 Yaglom, Akiva Moiseevich 9 Dorfman, Irina Yakovlevna 9 Raĭkov, Dmitriĭ Abramovich 9 Tsetlin, Mikhail L’vovich 8 Shubin, Mikhail Aleksandrovich 8 Smirnov, Mikhail M. 8 Vilenkin, Naum Yakovlevich 7 Arnol’d, Vladimir Igorevich 7 Fomin, Sergeĭ Vasil’evich 7 Serganova, Vera V. 6 Aleksandrov, Pavel Sergeevich 6 Berezin, Feliks Aleksandrovich 6 Gabrielov, Andrei 6 Glagoleva, E. G. 6 Levitan, Boris Moiseevich 6 Wilson, Robert Lee 5 Losik, Mark V. 5 Minlos, Robert Adol’fovich 5 Novikov, Sergeĭ Petrovich 5 Oganesyan, Gro R. 5 Sobolev, Sergeĭ L’vovich 4 Airapetyan, Ruben G. 4 Barros-Neto, José 4 Kazhdan, David 4 Kostyuchenko, Anatolii Gordeevich 4 Kreĭn, Mark Grigor’evich 4 Manin, Yuriĭ Ivanovich 4 Shnol’, Èmmanuil Èl’evich 4 Sinaĭ, Yakov Grigor’evich 4 Tikhomirov, Vladimir Mikhaĭlovich 4 Zakharevich, Ilya 3 Agranovich, Mikhail Semënovich 3 Booth, Richard F. 3 Corwin, Lawrence J. 3 Feĭgin, Boris L’vovich 3 Guillemin, Victor W. 3 Kostant, Bertram 3 MacPherson, Robert Duncan 3 Marchenko, Vladimir Aleksandrovich 3 Roşu, Radu 3 Sternberg, Shlomo 3 Stone, David A. 3 Vasil’ev, Viktor Anatol’evich 3 Vishik, Marko Iosifovich 2 Berezans’kyĭ, Yuriĭ Makarovych 2 Bogolyubov, Nikolaĭ Nikolaevich 2 Bryzgalov, V. I. 2 Chentsov, Nikolaĭ Nikolaevich 2 Dobrushin, Roland L’vovich 2 Dubinskiĭ, Yuliĭ Andreevich 2 Etingof, Pavel Il’ich 2 Goncharov, Alexander Borisovich 2 Gorin, Evgeniĭ Alekseevich 2 Grushin, V. V. 2 Kudryavtsev, Lev Dmitrievich 2 Leites, Dimitry A. 2 Lepowsky, James 2 Levin, Boris Yakovlevich 2 Lidskiĭ, Viktor Borisovich 2 Lokutsievskij, O. V. 2 Lopatyns’kyĭ, Yaroslav Borysovych 2 Maikov, E. V. 2 Maslov, Klavdii V. 2 Maslov, Viktor Pavlovich 2 Mergelyan, Sergeĭ Nikitovich 2 Moishezon, Boris G. 2 Palamodov, Victor Pavlovitch 2 Rybnikov, Grigori L. 2 Serconek, Shirlei 2 Shafarevich, Igor’ Rostislavovich 2 Shmelev, G. S. 2 Smolyanov, Oleg Georgievich 2 Spirin, S. A. 2 Tsygan, B. L. 2 Varchenko, Alexander Nikolaevich 2 Volevich, Leonid Romanovich 2 Zyskin, M. V. 1 Afendikov, Andrei Leonidovich 1 Ajrepetyan, R. G. 1 Alekseevskaya, T. V. ...and 87 more Co-Authors all top 5 Serials 67 Functional Analysis and its Applications 49 Soviet Mathematics. Doklady 41 Uspekhi Matematicheskikh Nauk [N. S.] 36 Russian Mathematical Surveys 25 Translations. Series 2. American Mathematical Society 22 Funktsional’nyĭ Analiz i ego Prilozheniya 21 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série 17 Doklady Akademii Nauk SSSR. Novaya Seriya 12 Advances in Mathematics 12 Recueil Mathématique. Nouvelle Série 10 Doklady Akademii Nauk SSSR 10 Doklady Mathematics 9 Russian Academy of Sciences. Doklady. Mathematics 6 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 6 Selecta Mathematica. New Series 4 Duke Mathematical Journal 4 Matematicheskiĭ Sbornik. Novaya Seriya 4 Trudy Moskovskogo Matematicheskogo Obshchestva 4 Hochschulbücher für Mathematik 3 Communications in Mathematical Physics 3 Letters in Mathematical Physics 3 Russian Journal of Mathematical Physics 3 Annals of Combinatorics 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Discrete Mathematics 2 Journal of Mathematical Physics 2 Compositio Mathematica 2 Journal of Functional Analysis 2 European Journal of Combinatorics 2 Soviet Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Mathematical Research Letters 2 Translations of Mathematical Monographs 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 The Mathematical Intelligencer 1 Fortschritte der Physik 1 Akademiya Nauk Armyanskoĭ SSR. Doklady 1 Differentsial’nye Uravneniya 1 Differential Equations 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Journal of Combinatorial Theory. Series B 1 Journal of Soviet Mathematics 1 Mathematics of the USSR. Izvestiya 1 Topology 1 Transactions of the Moscow Mathematical Society 1 Journal of Operator Theory 1 Selecta Mathematica Sovietica 1 Discrete & Computational Geometry 1 Leningrad Mathematical Journal 1 Automation and Remote Control 1 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mathematics of the USSR, Sbornik 1 Proceedings of the National Academy of Sciences of the United States of America 1 Soviet Physics. Doklady 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Bulletin of the American Mathematical Society. New Series 1 Matematicheskiĭ Sbornik 1 Journal of Algebraic Combinatorics 1 Nauchnye Doklady Vyssheĭ Shkoly. Fiziko-Matematicheskie Nauki 1 Mathematische Lehrbücher und Monographien. II. Abteilung: Mathematische Monographien 1 Progress in Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Academy of Sciences of the USSR. Journal of Physics 1 Progress in Nonlinear Differential Equations and Their Applications 1 Modern Birkhäuser Classics 1 Springer Collected Works in Mathematics 1 Dover Books on Advanced Mathematics 1 Interscience Tracts in Pure and Applied Mathematics 1 Mathematische Schülerbücherei all top 5 Fields 72 Topological groups, Lie groups (22-XX) 57 Differential geometry (53-XX) 52 Special functions (33-XX) 46 Nonassociative rings and algebras (17-XX) 39 History and biography (01-XX) 39 Partial differential equations (35-XX) 36 Combinatorics (05-XX) 33 Functional analysis (46-XX) 33 Manifolds and cell complexes (57-XX) 32 Group theory and generalizations (20-XX) 31 Global analysis, analysis on manifolds (58-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 27 Dynamical systems and ergodic theory (37-XX) 25 Abstract harmonic analysis (43-XX) 24 Algebraic geometry (14-XX) 21 Convex and discrete geometry (52-XX) 18 Several complex variables and analytic spaces (32-XX) 17 Associative rings and algebras (16-XX) 13 General and overarching topics; collections (00-XX) 12 Integral transforms, operational calculus (44-XX) 10 Number theory (11-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 8 Category theory; homological algebra (18-XX) 8 Ordinary differential equations (34-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Operator theory (47-XX) 8 Quantum theory (81-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Probability theory and stochastic processes (60-XX) 6 Biology and other natural sciences (92-XX) 5 Field theory and polynomials (12-XX) 5 Commutative algebra (13-XX) 5 Geometry (51-XX) 4 Real functions (26-XX) 4 Algebraic topology (55-XX) 4 Numerical analysis (65-XX) 4 Computer science (68-XX) 3 General topology (54-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 407 Publications have been cited 13,059 times in 10,948 Documents Cited by ▼ Year ▼ Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036 Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 1,021 1994 Generalized functions. Vol. I: Properties and operations. Translated by E. Saletan. Zbl 0115.33101 Gel’fand, I. M.; Shilov, G. E. 953 1964 Generalized functions. Vol. 4: Applications of harmonic analysis. Translated from the Russian by Amiel Feinstein. Zbl 0136.11201 Gel’fand, I. M.; Vilenkin, N. Ya. 477 1964 Calculus of variations. Zbl 0127.05402 Gelfand, I. M.; Fomin, S. V. 411 1965 Generalized functions. Vol. 2: Spaces of fundamental and generalized functions. Zbl 0159.18301 Gel’fand, I. M.; Shilov, G. E. 318 1968 Noncommutative symmetric functions. Zbl 0831.05063 Gelfand, Israel M.; Krob, Daniel; Lascoux, Alain; Leclerc, Bernard; Retakh, Vladimir S.; Thibon, Jean-Yves 298 1995 Some problems in the theory of quasilinear equations. Zbl 0127.04901 Gel’fand, I. M. 251 1963 On the determination of a differential equation from its spectral function. Zbl 0066.33603 Gel’fand, I. M.; Levitan, B. M. 234 1955 Generalized functions. Vol. 5: Integral geometry and representation theory. Translated from the Russian by Eugene Saletan. Zbl 0144.17202 Gel’fand, I. M.; Graev, M. I.; Vilenkin, N. Ya. 229 1966 Schubert cells and cohomology of the spaces G/P. Zbl 0289.57024 Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I. 179 1973 Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001 Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 173 2008 Quasideterminants. Zbl 1079.15007 Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Wilson, Robert Lee 166 2005 Generalized functions. Vol. 2. Spaces of fundamental and generalized functions. (Обобщенные функций. Выпуск 2. Пространства основных и обобщенных функций.) Zbl 0091.11103 Gel’fand, I. M.; Shilov, G. E. 164 1958 Structure of representations generated by vectors of highest weight. Zbl 0246.17008 Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I. 163 1971 Calculus of variations. Transl. from the Russian and edited by Richard A. Silverman. Reprint of the 1963 original. Zbl 0964.49001 Gelfand, I. M.; Fomin, S. V. 163 2000 Combinatorial geometries, convex polyhedra, and Schubert cells. Zbl 0622.57014 Gel’fand, I. M.; Goresky, R. Mark; MacPherson, Robert D.; Serganova, V. V. 162 1987 Finite-dimensional representations of the group of unimodular matrices. (Endlichdimensionale Darstellungen einer Gruppe von unimodularen Matrizen.) Zbl 0037.15301 Gel’fand, I. M.; Tsetlin, M. L. 157 1950 Asymptotic behaviour of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations. Zbl 0334.58007 Gel’fand, I. M.; Dikii, L. A. 150 1975 Hamiltonian operators and algebraic structures related to them. Zbl 0437.58009 Gel’fand, I. M.; Dorfman, I. Ya. 149 1980 Coxeter functors and a theorem of Gabriel’s. Zbl 0269.08001 Bernshteĭn, I. N.; Gel’fand, I. M.; Ponomarev, V. A. 137 1973 Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011 Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 134 1990 Integration in functional spaces and its applications in quantum physics. Zbl 0092.45105 Gel’fand, I. M.; Yaglom, A. M. 133 1960 Determinants of matrices over noncommutative rings. Zbl 0748.15005 Gel’fand, I. M.; Retakh, V. S. 128 1991 Generalized functions. Vol. 1. Generalized functions and operations on them. 2nd ed. (Обобщенные функции. Выпуск 1. Обобщенные функции и действија над ними.) Zbl 0091.11102 Gel’fand, I. M.; Shilov, G. E. 127 1959 On the imbedding of normed rings into the ring of operators in Hilbert space. Zbl 0060.27006 Gel’fand, I.; Naĭmark, M. 126 1943 Sur les corps liés aux algèbres enveloppantes des algèbres de Lie. Zbl 0144.02104 Gelfand, I. M.; Kirillov, A. A. 121 1966 Differential operators on the base affine space and a study of \(\mathfrak g\)-modules. Zbl 0338.58019 Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I. 120 1975 On the determination of a differential equation from its spectral function. (Über die Bestimmung einer Differentialgleichung nach ihrer Spektralfunktion.) Zbl 0044.09301 Gel’fand, I. M.; Levitan, B. M. 119 1951 Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 118 1989 Coxeter functors and Gabriel’s theorem. Zbl 0279.08001 Bernshteĭn, I. N.; Gel’fand, I. M.; Ponomarev, V. A. 114 1973 Representation theory and automorphic function. Translated from the Russian by K. A. Hirsch. Zbl 0177.18003 Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 95 1969 Normierte Ringe. JFM 67.0406.02 Gelfand, I. 93 1941 Generalized functions. Vol. 3. Theory of differential equations. Translated by Meinhard E. Mayer. Zbl 0355.46017 Gel’fand, I. M.; Shilov, G. E. 93 1967 Entwicklung nach Eigenfunktionen einer Gleichung mit periodischen Koeffizienten. Zbl 0037.34505 Gel’fand, I. M. 92 1950 Representations of the group \(\text{GL}(n,k)\) where \(K\) is a local field. Zbl 0348.22011 Gelfand, I. M.; Kazhdan, D. A. 89 1975 Hamiltonian operators and algebraic structures related to them. Zbl 0428.58009 Gel’fand, I. M.; Dorfman, I. Ya. 89 1979 Representations of the rotation and Lorentz groups and their applications. Translated from the Russian by G. Cummins and T. Boddington. (Представления группы вращени и группы Лоренца, их применения.) Zbl 0108.22005 Gel’fand, I. M.; Minlos, R. A.; Shapiro, Z. Ya. 89 1963 Some problems of the theory of quasilinear equations. Zbl 0096.06602 Gel’fand, I. M. 83 1959 Fractional powers of operators and Hamiltonian systems. Zbl 0356.35072 Gel’fand, I. M.; Dikii, L. A. 79 1977 Generalized functions. Vol. 3. Some questions in the theory of differential equations. (Обобщенные функций. Выпуск 3. Некоторые вопросы теории дифференциальных уравнений.) Zbl 0091.11104 Gel’fand, I. M.; Shilov, G. E. 79 1958 Indecomposable representations of the Lorentz group. Zbl 0236.22012 Gel’fand, I. M.; Ponomarev, V. A. 77 1968 Category of \(\mathfrak g\) modules. Zbl 0353.18013 Bernshteĭn, I. N.; Gel’fand, I. M.; Gel’fand, S. I. 77 1976 Coxeter matroids. With illustrations by Anna Borovik. Zbl 1050.52005 Borovik, Alexandre V.; Gelfand, I. M.; White, Neil 70 2003 Geometry in Grassmannians and a generalization of the dilogarithm. Zbl 0504.57021 Gelfand, I. M.; MacPherson, Robert D. 64 1982 A theory of noncommutative determinants and characteristic functions of graphs. Zbl 0799.15003 Gel’fand, I. M.; Retakh, V. S. 63 1992 Über eine einfache Identität für die Eigenwerte eines Differentialoperators zweiter Ordnung. Zbl 0053.06001 Gel’fand, I. M.; Levitan, B. M. 62 1953 Selected topics in integral geometry. Transl. from the Russsian by A. Shtern. Zbl 1055.53059 Gelfand, I. M.; Gindikin, S. G.; Graev, M. I. 62 2003 General hypergeometric systems of equations and series of hypergeometric type. Zbl 0798.33010 Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. 59 1992 Fedosov manifolds. Zbl 0945.53047 Gelfand, Israel; Retakh, Vladimir; Shubin, Mikhail 59 1998 Generalized functions. Vol. 6. Representation theory and automorphic functions. (Обобщенные функций. Выпуск 6. Теория представлений и автоморфные функции.) Zbl 0138.07201 Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 58 1966 The cohomologies of the Lie algebra of the vector fields in a circle. Zbl 0176.11501 Gel’fand, I. M.; Fuks, D. B. 58 1968 Factorization of differential operators, quasideterminants, and nonabelian Toda field equations. Zbl 0959.37054 Etingof, Pavel; Gelfand, Israel; Retakh, Vladimir 55 1997 Les distributions. Zbl 0115.10102 Guelfand, I. M.; Chilov, G. E. 54 1962 Generalized functions. Vol. 4. Some applications of harmonic analysis. Equipped Hilbert spaces. (Обобщенные функций. Вып. 4. Некоторые применения гармонического анализа. Оснащенные Гильбертовы пространства.) Zbl 0103.09202 Gel’fand, I. M.; Vilenkin, N. Ya. 51 1961 Combinatorial geometries and torus strata on homogeneous compact manifolds. Zbl 0639.14031 Gel’fand, I. M.; Serganova, V. V. 49 1987 Representations of the group of diffeomorphisms. Zbl 0337.58003 Vershik, A. M.; Gel’fand, I. M.; Graev, M. I. 48 1975 Holonomic systems of equations and series of hypergeometric type. Zbl 0661.22005 Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V. 47 1987 Unitary representations of the classical groups. (Die unitären Darstellungen der klassischen Gruppen.) Zbl 0041.36206 Gel’fand, I. M.; Naĭmark, M. A. 46 1950 Finite-dimensional representations of groups of orthogonal matrices. (Endlichdimensionale Darstellungen einer Gruppe von orthogonalen Matrizen.) Zbl 0037.15302 Gel’fand, I. M.; Tsetlin, M. L. 46 1950 Combinatorics of hypergeometric functions associated with positive roots. Zbl 0876.33011 Gelfand, Israel M.; Graev, Mark I.; Postnikov, Alexander 45 1997 Combinatorial geometries and strata of a torus on homogeneous compact manifolds. Zbl 0629.14035 Gel’fand, I. M.; Serganova, V. V. 44 1987 Quasideterminants. I. Zbl 0919.16011 Gelfand, I.; Retakh, V. 43 1997 Einige Fragen der Analysis und der Differentialgleichungen. Zbl 0091.08805 Gel’fand, I. M. 43 1959 Problems of linear algebra and classification of quadruples of subspaces in a finite-dimensional vector space. Zbl 0294.15002 Gelfand, I. M.; Ponomarev, V. A. 42 1972 General theory of hypergeometric functions. Zbl 0645.33010 Gel’fand, I. M. 41 1986 On rings of continuous functions on topological spaces. JFM 65.0500.03 Gelfand, I.; Kolmogoroff, A. 41 1939 Fourier transforms of rapidly increasing functions and questions of the uniqueness of the solution of a Cauchy problem. (Fouriertransformationen schnell wachsender Funktionen und Eindeutigkeitsfragen des Cauchyschen Problems.) Zbl 0052.11605 Gel’fand, I. M.; Shilov, G. E. 41 1953 Fundamental solutions for the Tricomi operator. Zbl 0945.35063 Barros-Neto, J.; Gelfand, I. M. 40 1999 Unitäre Darstellungen der klassischen Gruppen. Zbl 0077.03405 Gelfand, I. M.; Neumark, M. A. 40 1957 On the structure of the regions of stability of linear canonical systems of differential equations with periodic coefficients. Zbl 0079.10905 Gel’fand, I. M.; Lidskij, V. B. 40 1958 Commutative normed rings. (Коммутативные нормированные кольца.) Zbl 0134.32102 Gel’fand, I. M.; Raĭkov, D. A.; Shilov, G. E. 40 1960 Model algebras and representations of graphs. Zbl 0437.16020 Gel’fand, I. M.; Ponomarev, V. A. 39 1980 Webs, Veronese curves, and bihamiltonian systems. Zbl 0739.58021 Gelfand, Israel M.; Zakharevich, Ilya 38 1991 Algebraische Faserbündel auf \(\mathbb P^n\) und Probleme der linearen Algebra. Zbl 0402.14005 Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I. 38 1978 Calculation of the amount of information about a random function contained in another such function. Zbl 0087.13201 Gel’fand, I. M.; Yaglom, A. M. 38 1959 Surfaces on Lie groups, on Lie algebras, and their integrability (with an appendix by Juan Carlos Alvarez Paiva). Zbl 0864.53003 Fokas, A. S.; Gelfand, I. M. 37 1996 Webs, Lenard schemes, and the local geometry of bi-Hamiltonian Toda and Lax structures. Zbl 0986.37060 Gelfand, Israel M.; Zakharevich, Ilya 37 2000 Verallgemeinerte Funktionen (Distributionen). I: Verallgemeinerte Funktionen und das Rechnen mit ihnen. Zbl 0122.11401 Gelfand, I. M.; Schilow, G. E. 37 1960 Algebraic bundles over \(\mathbb P^n\) and problems of linear algebra. Zbl 0424.14002 Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I. 37 1979 The Schouten bracket and Hamilton operators. Zbl 0444.58010 Gel’fand, I. M.; Dorfman, I. Ya. 35 1980 The resolvent and Hamiltonian systems. Zbl 0412.58018 Gel’fand, I. M.; Dikij, L. A. 33 1977 Abstrakte Funktionen und lineare Operatoren. Zbl 0020.36701 Gelfand, I. 33 1938 Unitary representations of the Lorentz group. Zbl 0037.15303 Gel’fand, I. M.; Naĭmark, M. A. 33 1947 Generalized functions. Vol. 5. Integral geometry and related problems in the theory of representations. (Обобщенные функций. Выпуск 5. Интегральная геометрия и связанные с ней вопросы теории представлений.) Zbl 0115.16701 Gel’fand, I. M.; Graev, M. I.; Vilenkin, N. Ya. 33 1962 A Lie algebra structure in a formal variational calculation. Zbl 0347.49023 Gel’fand, I. M.; Dikii, L. A. 32 1976 Hyperdeterminants. Zbl 0774.15002 Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 31 1992 Representation theory and automorphic functions. Transl. from the Russian by K. A. Hirsch. Reprint. Zbl 0718.11022 Gel’fand, I. M.; Graev, M. I.; Piatetski-Shapiro, Ilya I. 30 1990 On rings of continuous functions on topological spaces. Zbl 0021.41103 Gelfand, I.; Kolmogoroff, A. 30 1939 Abstrakte Funktionen und lineare Operatoren. JFM 64.0368.02 Gelfand, I. 29 1938 Some aspects of functional analysis and algebra. Zbl 0079.32602 Gelfand, I. 29 1957 Nonabelian integrable systems, quasideterminants, and Marchenko lemma. Zbl 0948.37055 Etingof, Pavel; Gelfand, Israel; Retakh, Vladimir 29 1998 Fractional powers of operators and Hamiltonian systems. Zbl 0346.35085 Gel’fand, I. M.; Dikiĭ, L. A. 28 1976 Hamiltonian operators and infinite-dimensional Lie algebras. Zbl 0487.58008 Gel’fand, I. M.; Dorfman, I. Ya. 27 1982 Commutative normed rings. Zbl 0063.01567 Gel’fand, I. M.; Raĭkov, D. A.; Shilov, G. E. 27 1946 Integrability of linear and nonlinear evolution equations and the associated nonlinear Fourier transforms. Zbl 0807.35138 Fokas, A. S.; Gelfand, I. M. 27 1994 The Schouten bracket and Hamiltonian operators. Zbl 0455.58013 Gel’fand, I. M.; Dorfman, I. Ya. 26 1981 Fundamental solutions for the Tricomi operator. II. Zbl 1017.35081 Barros-Neto, J.; Gelfand, I. M. 26 2002 Lectures on linear algebra. Zbl 0098.01108 Gel’fand, I. M. 26 1961 Fundamental solutions of the Tricomi operator. III. Zbl 1083.35068 Barros-Neto, J.; Gelfand, Israel M. 26 2005 Integral geometry in affine and projective spaces. Zbl 0474.52010 Gel’fand, I. M.; Gindikin, S. G.; Graev, M. I. 25 1982 Generalized functions. Vol. 1: Properties and operations. Translated from the Russian by E. Saletan. Reprint of the 1964 original published by Academic Press. Zbl 1339.01006 Gel’fand, I. M.; Shilov, G. E. 19 2016 Generalized functions. Vol. 5: Integral geometry and representation theory. Translated from the Russian by Eugene Saletan. Reprint of the 1966 original published by Academic Press. Zbl 1339.01005 Gel’fand, I. M.; Graev, M. I.; Vilenkin, N. Ya. 16 2016 Generalized functions. Vol. 4: Applications of harmonic analysis. Translated from the Russian by Amiel Feinstein. Reprint of the 1964 original published by Academic Press. Zbl 1339.01009 Gel’fand, I. M.; Vilenkin, N. Ya. 10 2016 Generalized functions. Vol. 2: Spaces of fundamental and generalized functions. Translated from the Russian by Morris D. Friedman, Amiel Feinstein and Christian P. Peltzer. Reprint of the 1968 original published by Academic Press. Zbl 1339.01007 Gel’fand, I. M.; Shilov, G. E. 8 2016 Generalized functions. Vol. 6: Representation theory and automorphic functions. Translated from the Russian by K. A. Hirsch. Reprint of the 1969 original published by Academic Press. Zbl 1339.01004 Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 8 2016 Generalized functions. Vol. 3. Theory of differential equations. Translated from the Russian by Meinhard E. Mayer. Reprint of the 1967 original published by Academic Press. Zbl 1339.01008 Gel’fand, I. M.; Shilov, G. E. 4 2016 Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001 Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 173 2008 Quasideterminants. Zbl 1079.15007 Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Wilson, Robert Lee 166 2005 Fundamental solutions of the Tricomi operator. III. Zbl 1083.35068 Barros-Neto, J.; Gelfand, Israel M. 26 2005 On a class of algebras associated to directed graphs. Zbl 1080.05040 Gelfand, Israel; Retakh, Vladimir; Serconek, Shirlei; Wilson, Robert Lee 15 2005 Factorizations of polynomials over noncommutative algebras and sufficient sets of edges in directed graphs. Zbl 1112.05048 Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Wilson, Robert Lee 10 2005 Hypergeometric functions over an arbitrary field. Zbl 1073.33010 Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. 16 2004 Prediction of the structural motifs of sandwich proteins. Zbl 1064.92018 Fokas, A. S.; Gelfand, I. M.; Kister, A. E. 1 2004 Coxeter matroids. With illustrations by Anna Borovik. Zbl 1050.52005 Borovik, Alexandre V.; Gelfand, I. M.; White, Neil 70 2003 Selected topics in integral geometry. Transl. from the Russsian by A. Shtern. Zbl 1055.53059 Gelfand, I. M.; Gindikin, S. G.; Graev, M. I. 62 2003 Quaternionic quasideterminants and determinants. Zbl 1037.15006 Gelfand, Israel; Retakh, Vladimir; Wilson, Robert Lee 16 2003 Correction to “Fundamental solutions for the Tricomi operator. II”. Zbl 1029.35192 Barros-Neto, J.; Gelfand, I. M. 3 2003 Fundamental solutions for the Tricomi operator. II. Zbl 1017.35081 Barros-Neto, J.; Gelfand, I. M. 26 2002 Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials. Zbl 1015.16034 Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Serconek, Shirlei; Wilson, Robert Lee 13 2002 On the topology of the combinatorial flag varieties. Zbl 1003.52010 Borovik, A. V.; Gelfand, I. M.; Stone, D. A. 3 2002 Functions and graphs. Translated and adapted from the Russian second edition by Thomas Walsh and Randell Magee. Reprint of the 1969 English edition. Zbl 1081.26500 Gelfand, I. M.; Glagoleva, E. G.; Shnol, E. E. 1 2002 Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials. Zbl 0992.16025 Gelfand, Israel; Retakh, Vladimir; Wilson, Robert Lee 23 2001 Noncommutative algebras associated to complexes and graphs. Zbl 0992.16026 Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir 6 2001 Hypergeometric functions over finite fields. Zbl 1059.33019 Gelfand, I. M.; Graev, M. I. 5 2001 Representations of matroids in semimodular lattices. Zbl 0987.05035 Borovik, Alexandre V.; Gelfand, Israel M.; White, Neil 3 2001 Mikhail Semenovich Agranovich (on his 70th birthday). Zbl 1017.01503 Amosov, B. A.; Birman, M. S.; Vishik, M. I.; Volevich, L. R.; Gel’fand, I. M.; Friedlander, L. F.; Shubin, M. A. 2 2001 Oriented Lagrangian matroids. Zbl 0990.52003 Booth, Richard F.; Borovik, Alexandre V.; Gelfand, Israel M.; White, Neil 2 2001 Trigonometry. Zbl 0972.00002 Gelfand, I. M.; Saul, Mark 2 2001 Hypergeometric \(\mathcal N\)-functions. Zbl 1059.33017 Gelfand, I. M.; Graev, M. I. 1 2001 Calculus of variations. Transl. from the Russian and edited by Richard A. Silverman. Reprint of the 1963 original. Zbl 0964.49001 Gelfand, I. M.; Fomin, S. V. 163 2000 Webs, Lenard schemes, and the local geometry of bi-Hamiltonian Toda and Lax structures. Zbl 0986.37060 Gelfand, Israel M.; Zakharevich, Ilya 37 2000 A formula for constructing infinitely many surfaces on Lie algebras and integrable equations. Zbl 0976.35064 Fokas, A. S.; Gel’fand, I. M.; Finkel, F.; Liu, Q. M. 17 2000 Lagrangian matroids and cohomology. Zbl 0956.05028 Booth, Richard F.; Borovik, Alexandre V.; Gelfand, Israel M.; Stone, David A. 6 2000 Selected problems in integral geometry. (Izbrannye zadachi integral’noj geometrii.) Zbl 1056.53048 Gel’fand, I. M.; Gindikin, S. G.; Graev, M. I. 4 2000 Combinatorial flag varieties. Zbl 0964.05019 Borovik, Alexandre V.; Gelfand, Israel M.; White, Neil 4 2000 Louck polynomials and their relation to general hypergeometric functions and \(GG\)-functions. Zbl 1042.33009 Gel’fand, I. M.; Graev, M. I. 2 2000 Mikhail Shlyomovich Birman (on his 70th birthday). Zbl 0958.01026 Buslaev, V. S.; Vershik, A. M.; Gel’fand, I. M.; Gindikin, S. G.; Ladyzhenskaya, O. A.; Solomyak, M. Z.; Faddeev, L. D.; Yafaev, D. R. 2 2000 Matroid homology. Zbl 0961.05014 Alekseyevskaya, Tatiana V.; Borovik, Alexandre V.; Gelfand, I. M.; White, Neil 1 2000 Fundamental solutions for the Tricomi operator. Zbl 0945.35063 Barros-Neto, J.; Gelfand, I. M. 40 1999 GG functions and their relations to general hypergeometric functions. Zbl 0962.33008 Gelfand, I. M.; Graev, M. I. 4 1999 Fedosov manifolds. Zbl 0945.53047 Gelfand, Israel; Retakh, Vladimir; Shubin, Mikhail 59 1998 Nonabelian integrable systems, quasideterminants, and Marchenko lemma. Zbl 0948.37055 Etingof, Pavel; Gelfand, Israel; Retakh, Vladimir 29 1998 Symplectic matroids. Zbl 0919.05012 Borovik, Alexandre V.; Gelfand, Israel; White, Neil 15 1998 On exchange properties for Coxeter matroids and oriented matroids. Zbl 0889.05034 Borovik, Alexandre V.; Gelfand, Israel; White, Neil 6 1998 General gamma functions, exponentials, and hypergeometric functions. Zbl 0919.33015 Gelfand, I. M.; Graev, M. I.; Retakh, V. S. 2 1998 Factorization of differential operators, quasideterminants, and nonabelian Toda field equations. Zbl 0959.37054 Etingof, Pavel; Gelfand, Israel; Retakh, Vladimir 55 1997 Combinatorics of hypergeometric functions associated with positive roots. Zbl 0876.33011 Gelfand, Israel M.; Graev, Mark I.; Postnikov, Alexander 45 1997 Quasideterminants. I. Zbl 0919.16011 Gelfand, I.; Retakh, V. 43 1997 The lattice of flats and its underlying flag matroid polytope. Zbl 0929.05014 Borovik, Alexandre V.; Gelfand, Israel M.; Vince, Andrew; White, Neil 11 1997 Coxeter matroid polytopes. Zbl 0927.05019 Borovik, Alexandre V.; Gelfand, Israel M.; White, Neil 9 1997 Algebraic aspects of integrable systems: in memory of Irene Dorfman. Zbl 0851.00060 8 1997 Crofton densities, symplectic geometry and Hilbert’s fourth problem. Zbl 0955.53042 Álvarez, J. C.; Gelfand, I. M.; Smirnov, M. 5 1997 \(GG\)-functions and their relation to general hypergeometric functions. Zbl 0922.33010 Gel’fand, I. M.; Graev, M. I. 3 1997 The Arnold-Gelfand mathematical seminars. Zbl 0857.00029 2 1997 Nonlinear integrable equations and nonlinear Fourier transform. Zbl 0866.35100 Fokas, A. S.; Gelfand, I. M.; Zyskin, M. V. 1 1997 Surfaces on Lie groups, on Lie algebras, and their integrability (with an appendix by Juan Carlos Alvarez Paiva). Zbl 0864.53003 Fokas, A. S.; Gelfand, I. M. 37 1996 Noncommutative Vieta theorem and symmetric functions. Zbl 0865.05074 Gelfand, Israel; Retakh, Vladimir 15 1996 Inversion method for magnetoencephalography. Zbl 0844.92005 Fokas, A. S.; Gelfand, I. M.; Kurylev, Y. 12 1996 Boundaries of Coxeter matroids. Zbl 0858.05025 Borovik, Alexandre V.; Gelfand, Israel; White, Neil 5 1996 Chern-Simons classes and cocycles on the Lie algebra of the gauge group. Zbl 0867.57020 Gelfand, I. M.; Smirnov, M. M. 1 1996 Noncommutative symmetric functions. Zbl 0831.05063 Gelfand, Israel M.; Krob, Daniel; Lascoux, Alain; Leclerc, Bernard; Retakh, Vladimir S.; Thibon, Jean-Yves 298 1995 Projective orientations of matroids. Zbl 0835.05014 Gelfand, Israel M.; Rybnikov, Grigori L.; Stone, David A. 4 1995 Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036 Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 1,021 1994 Integrability of linear and nonlinear evolution equations and the associated nonlinear Fourier transforms. Zbl 0807.35138 Fokas, A. S.; Gelfand, I. M. 27 1994 On the imbedding of normed rings into the ring of operators in Hilbert space. Zbl 0824.46060 Gelfand, I.; Neumark, M. 11 1994 Lagrangians satisfying Crofton formulas, Radon transforms, and nonlocal differentials. Zbl 0813.53045 Gelfand, Israel M.; Smirnov, Mikhail M. 10 1994 \(WP\)-matroids and thin Schubert cells on Tits systems. Zbl 0805.05013 Borovik, Alexandre V.; Gelfand, Israel M. 9 1994 The algebra of Chern-Simons classes, the Poisson bracket on it, and the action of the gauge group. Zbl 0842.58025 Gelfand, Israel M.; Smirnov, Mikhail M. 5 1994 The spectral theory for a pencil of skewsymmetrical differential operators of the third order. Zbl 0815.47009 Gelfand, Israel M.; Zakharevich, Ilya 4 1994 Quadratic Poisson algebras and their infinite-dimensional extensions. Zbl 0824.58030 Fokas, A. S.; Gel’fand, I. M. 3 1994 Quadratic algebras and skew-fields. Zbl 0821.16017 Corwin, L. J.; Gel’fand, I. M.; Goodman, Roe 1 1994 On the local geometry of a bihamiltonian structure. Zbl 0809.57013 Gelfand, Israel M.; Zakharevich, Ilya 23 1993 A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501 Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 20 1993 Duality and minors of secondary polyhedra. Zbl 0727.05018 Billera, Louis J.; Gel’fand, I. M.; Sturmfels, Bernd 16 1993 Bi-Hamiltonian structures and integrability. Zbl 0832.58020 Fokas, A. S.; Gel’fand, I. M. 4 1993 On the dimension and degree of the projective dual variety: A \(q\)-analog of the Katz-Kleiman formula. Zbl 0828.14037 Gelfand, I. M.; Kapranov, M. M. 3 1993 Singular representations of the group \(SU(n,1)\) and projective unitary representations of the current group \(SU(n,1)^ X\). Zbl 0829.22027 Gel’fand, I. M.; Graev, M. I. 2 1993 Hopf algebra structures for the Heisenberg algebra. I. Zbl 0818.16029 Corwin, L.; Gelfand, I. M. 2 1993 Crofton densities and nonlocal differentials. Zbl 0801.53055 Gelfand, I. M.; Smirnov, M. M. 2 1993 The \(q\)-hypergeometric equation of Gauss and a description of its series and integral solutions. Zbl 0832.33011 Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. 2 1993 Algebra. Zbl 0785.00001 Gelfand, I. M.; Shen, A. 2 1993 Reduction formulas for hypergeometric functions associated with the Grassmannian \(G_{k,n}\) and description of these functions on strata of small codimension in \(G_{k,n}\). Zbl 0870.33008 Gel’fand, Israel M.; Graev, Mark I.; Retakh, Vladimir S. 1 1993 \((R,S)\)-hypergeometric functions of one variable. Zbl 0841.33007 Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. 1 1993 The Gelfand Seminars, 1990-1992. Zbl 0780.00044 1 1993 A theory of noncommutative determinants and characteristic functions of graphs. Zbl 0799.15003 Gel’fand, I. M.; Retakh, V. S. 63 1992 General hypergeometric systems of equations and series of hypergeometric type. Zbl 0798.33010 Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. 59 1992 Hyperdeterminants. Zbl 0774.15002 Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 31 1992 A combinatorial formula for the Pontrjagin classes. Zbl 0756.57015 Gelfand, I. M.; MacPherson, Robert D. 25 1992 Difference analogs and \(q\)-analogs of general hypergeometric systems of differential equations. Zbl 0792.39006 Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. 12 1992 On the cohomology of the Lie algebra of Hamiltonian vector fields. Zbl 0783.17009 Gel’fand, I. M.; Mathieu, O. 2 1992 Determinants of matrices over noncommutative rings. Zbl 0748.15005 Gel’fand, I. M.; Retakh, V. S. 128 1991 Webs, Veronese curves, and bihamiltonian systems. Zbl 0739.58021 Gelfand, Israel M.; Zakharevich, Ilya 38 1991 Crofton’s function and inversion formulas in real integral geometry. Zbl 0731.53066 Gel’fand, I. M.; Graev, M. I. 23 1991 The algebra of Weyl symmetrised polynomials and its quantum extension. Zbl 0735.17029 Gel’fand, I. M.; Fairlie, D. B. 16 1991 Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008 Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 6 1991 Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011 Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 134 1990 Representation theory and automorphic functions. Transl. from the Russian by K. A. Hirsch. Reprint. Zbl 0718.11022 Gel’fand, I. M.; Graev, M. I.; Piatetski-Shapiro, Ilya I. 30 1990 Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033 Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 21 1990 Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002 Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 19 1990 Algebraic and topological invariants of oriented matroids. Zbl 0717.33009 Gel’fand, I. M.; Rybnikov, G. L. 17 1990 ...and 307 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 11,406 Authors 48 Gel’fand, Israil’ Moiseevich 45 Sturmfels, Bernd 45 Thibon, Jean-Yves 41 Nazarov, Sergeĭ Aleksandrovich 38 Albeverio, Sergio A. 37 Toft, Joachim 32 Novelli, Jean-Christophe 32 Rubin, Boris 29 Dickenstein, Alicia M. 28 Bai, Chengming 28 Futorny, Vyacheslav M. 28 Pilipović, Stevan 27 Mazorchuk, Volodymyr 24 Vershik, Anatoliĭ Moiseevich 23 Derkachëv, Sergeĭ Èduardovich 23 Kapranov, Mikhail M. 22 Fokas, Athanassios 22 Gorodetskij, V. 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