Edit Profile Gel’fand, Israil’ Moiseevich Compute Distance To: Compute Author ID: gelfand.israel-m Published as: Gel’fand, I.; Gel’fand, I. M.; Gel’fand, Israel M.; Gel’fand, Izrail M.; Gelfand, I.; Gelfand, I. M.; Gelfand, Israel; Gelfand, Israel M.; Gelfand, Izrail M.; Guelfand, I. M. External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor Awards: Wolf Prize (1978) · Kyoto Prize in Basic Sciences (1989) Documents Indexed: 541 Publications since 1936, including 76 Books Biographic References: 23 Publications all top 5 Co-Authors 64 single-authored 122 Graev, Mark Iosifovich 33 Retakh, Vladimir Solomonovich 31 Shilov, Georgiĭ Evgen’evich 27 Zelevinskiĭ, Andreĭ V. 23 Gel’fand, Sergeĭ Izrail’evich 22 Gindikin, Simon Grigorevich 21 Fuchs, Dmitry Borisovich 21 Naĭmark, Mark Aronovich 20 Bernstein, Joseph 19 Ponomarev, V. A. 17 Piatetski-Shapiro, Ilya 15 Kapranov, Mikhail M. 14 Vershik, Anatoliĭ Moiseevich 13 Borovik, Alexandre Vasilievich 12 Dickey, Leonid A. 12 Kolmogorov, Andreĭ Nikolaevich 11 Oleĭnik, Ol’ga Arsen’evna 10 Fokas, Athanassios S. 10 Kirillov, Alexandre Aleksandrovich 10 Shapiro, Z. Ya. 10 White, Neil M. 10 Yaglom, Akiva Moiseevich 9 Dorf’man, Irina Yakovlevna 9 Raĭkov, Dmitriĭ Abramovich 9 Tsetlin, Mikhail L’vovich 8 Shubin, Mikhail Aleksandrovich 8 Vilenkin, Naum Yakovlevich 7 Arnol’d, Vladimir Igorevich 7 Fomin, Sergey Vasil’evich 7 Serganova, Vera V. 7 Smirnov, Mikhail M. 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 A. 4 Kostyuchenko, Anatolii Gordeevich 4 Kreĭn, Mark Grigor’evich 4 Manin, Yuri Ivanovich 4 Shnol’, Èmmanuil Èl’evich 4 Sinaĭ, Yakov Grigor’evich 4 Tikhomirov, Vladimir Mikhaĭlovich 4 Zakharevich, Ilya 3 Agranovich, Mikhail Semënovich 3 Corwin, Lawrence J. 3 Feĭgin, Boris L’vovich 3 MacPherson, Robert Duncan 3 Marchenko, Vladimir Aleksandrovich 3 Roşu, Radu 3 Stone, David A. 3 Vasil’ev, Viktor Anatol’evich 3 Vishik, Marko Iosifovich 2 Alekseyevskaya, Tatiana V. 2 Berezans’kyĭ, Yuriĭ Makarovych 2 Bogolyubov, Nikolaĭ Nikolaevich 2 Booth, Richard F. 2 Bryzgalov, V. I. 2 Chentsov, Nikolaĭ Nikolaevich 2 Dobrushin, Roland Lvovich 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 Lidskij, 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 Shapiro, Z. J. 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 L. 1 Ajrepetyan, R. G. 1 Alekseevskaya, T. V. ...and 81 more Co-Authors all top 5 Serials 65 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 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 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 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 all top 5 Fields 67 Topological groups, Lie groups (22-XX) 56 Differential geometry (53-XX) 51 Special functions (33-XX) 46 Nonassociative rings and algebras (17-XX) 38 History and biography (01-XX) 38 Partial differential equations (35-XX) 36 Combinatorics (05-XX) 33 Manifolds and cell complexes (57-XX) 31 Functional analysis (46-XX) 31 Global analysis, analysis on manifolds (58-XX) 29 Group theory and generalizations (20-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 27 Dynamical systems and ergodic theory (37-XX) 24 Algebraic geometry (14-XX) 24 Abstract harmonic analysis (43-XX) 18 Several complex variables and analytic spaces (32-XX) 17 Associative rings and algebras (16-XX) 16 Convex and discrete geometry (52-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 Operator theory (47-XX) 8 Quantum theory (81-XX) 7 Harmonic analysis on Euclidean spaces (42-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 373 Publications have been cited 8,180 times in 6,842 Documents Cited by ▼ Year ▼ Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 677 1994 Generalized functions. Vol. I: Properties and operations. Translated by E. Saletan. Zbl 0115.33101Gel’fand, I. M.; Shilov, G. E. 438 1964 Calculus of variations. Zbl 0127.05402Gelfand, I. M.; Fomin, S. V. 353 1965 Noncommutative symmetric functions. Zbl 0831.05063Gelfand, Israel M.; Krob, Daniel; Lascoux, Alain; Leclerc, Bernard; Retakh, Vladimir S.; Thibon, Jean-Yves 237 1995 Generalized functions. Vol. 4: Applications of harmonic analysis. Translated from the Russian by Amiel Feinstein. Zbl 0136.11201Gel’fand, I. M.; Vilenkin, N. Ya. 197 1964 On the determination of a differential equation from its spectral function. Zbl 0066.33603Gel’fand, I. M.; Levitan, B. M. 190 1955 Some problems in the theory of quasilinear equations. Zbl 0127.04901Gel’fand, I. M. 177 1963 Structure of representations generated by vectors of highest weight. Zbl 0246.17008Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I. 138 1971 Schubert cells and cohomology of the spaces G/P. Zbl 0289.57024Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I. 128 1973 Generalized functions. Vol. 5: Integral geometry and representation theory. Translated from the Russian by Eugene Saletan. Zbl 0144.17202Gel’fand, I. M.; Graev, M. I.; Vilenkin, N. Ya. 126 1966 Generalized functions. Vol. 2: Spaces of fundamental and generalized functions. Zbl 0159.18301Gel’fand, I. M.; Shilov, G. E. 117 1968 Asymptotic behaviour of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations. Zbl 0334.58007Gel’fand, I. M.; Dikii, L. A. 113 1975 Quasideterminants. Zbl 1079.15007Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Wilson, Robert Lee 110 2005 Hamiltonian operators and algebraic structures related to them. Zbl 0437.58009Gel’fand, I. M.; Dorfman, I. Ya. 106 1980 Coxeter functors and a theorem of Gabriel’s. Zbl 0269.08001Bernshteĭn, I. N.; Gel’fand, I. M.; Ponomarev, V. A. 105 1973 Sur les corps liés aux algèbres enveloppantes des algèbres de Lie. Zbl 0144.02104Gelfand, I. M.; Kirillov, A. A. 105 1966 Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 101 2008 Generalized functions. Vol. 2. Spaces of fundamental and generalized functions. Zbl 0091.11103Gel’fand, I. M.; Shilov, G. E. 99 1958 Integration in functional spaces and its applications in quantum physics. Zbl 0092.45105Gel’fand, I. M.; Yaglom, A. M. 98 1960 Combinatorial geometries, convex polyhedra, and Schubert cells. Zbl 0622.57014Gel’fand, I. M.; Goresky, R. Mark; MacPherson, Robert D.; Serganova, V. V. 95 1987 Coxeter functors and Gabriel’s theorem. Zbl 0279.08001Bernshteĭn, I. N.; Gel’fand, I. M.; Ponomarev, V. A. 91 1973 On the determination of a differential equation from its spectral function. Zbl 0044.09301Gel’fand, I. M.; Levitan, B. M. 87 1951 Determinants of matrices over noncommutative rings. Zbl 0748.15005Gel’fand, I. M.; Retakh, V. S. 85 1991 Differential operators on the base affine space and a study of \(\mathfrak g\)-modules. Zbl 0338.58019Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I. 84 1975 Finite-dimensional representations of the group of unimodular matrices. Zbl 0037.15301Gel’fand, I. M.; Tsetlin, M. L. 84 1950 Category of \(\mathfrak g\) modules. Zbl 0353.18013Bernshteĭn, I. N.; Gel’fand, I. M.; Gel’fand, S. I. 82 1976 Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 81 1990 Calculus of variations. Transl. from the Russian and edited by Richard A. Silverman. Reprint of the 1963 original. Zbl 0964.49001Gelfand, I. M.; Fomin, S. V. 80 2000 On the imbedding of normed rings into the ring of operators in Hilbert space. Zbl 0060.27006Gel’fand, I.; Naĭmark, M. 79 1943 Hypergeometric functions and toric varieties. Zbl 0721.33006Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 77 1989 Generalized functions. Vol. 1. Generalized functions and operations on them. 2nd ed. Zbl 0091.11102Gel’fand, I. M.; Shilov, G. E. 76 1959 Normierte Ringe. JFM 67.0406.02Gelfand, I. 70 1941 Fractional powers of operators and Hamiltonian systems. Zbl 0356.35072Gel’fand, I. M.; Dikii, L. A. 60 1977 Some problems of the theory of quasilinear equations. Zbl 0096.06602Gel’fand, I. M. 56 1959 Geometry in Grassmannians and a generalization of the dilogarithm. Zbl 0504.57021Gelfand, I. M.; MacPherson, Robert D. 52 1982 Representations of the rotation and Lorentz groups and their applications. Translated from the Russian by G. Cummins and T. Boddington. Zbl 0108.22005Gel’fand, I. M.; Minlos, R. A.; Shapiro, Z. Ya. 51 1963 Generalized functions. Vol. 6. Representation theory and automorphic functions. Zbl 0138.07201Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 49 1966 Representation theory and automorphic function. Translated from the Russian by K. A. Hirsch. Zbl 0177.18003Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 48 1969 Les distributions. Zbl 0115.10102Guelfand, I. M.; Chilov, G. E. 46 1962 Indecomposable representations of the Lorentz group. Zbl 0236.22012Gel’fand, I. M.; Ponomarev, V. A. 45 1968 Fedosov manifolds. Zbl 0945.53047Gelfand, Israel; Retakh, Vladimir; Shubin, Mikhail 44 1998 Hamiltonian operators and algebraic structures related to them. Zbl 0428.58009Gel’fand, I. M.; Dorfman, I. Ya. 44 1979 Representations of the group \(\text{GL}(n,k)\) where \(K\) is a local field. Zbl 0348.22011Gelfand, I. M.; Kazhdan, D. A. 43 1975 Representations of the group of diffeomorphisms. Zbl 0337.58003Vershik, A. M.; Gel’fand, I. M.; Graev, M. I. 43 1975 The cohomologies of the Lie algebra of the vector fields in a circle. Zbl 0176.11501Gel’fand, I. M.; Fuks, D. B. 43 1968 Combinatorial geometries and torus strata on homogeneous compact manifolds. Zbl 0639.14031Gel’fand, I. M.; Serganova, V. V. 42 1987 A theory of noncommutative determinants and characteristic functions of graphs. Zbl 0799.15003Gel’fand, I. M.; Retakh, V. S. 41 1992 General hypergeometric systems of equations and series of hypergeometric type. Zbl 0798.33010Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. 37 1992 Generalized functions. Vol. 3. Some questions in the theory of differential equations. Zbl 0091.11104Gel’fand, I. M.; Shilov, G. E. 37 1958 Fundamental solutions for the Tricomi operator. Zbl 0945.35063Barros-Neto, J.; Gelfand, I. M. 35 1999 Factorization of differential operators, quasideterminants, and nonabelian Toda field equations. Zbl 0959.37054Etingof, Pavel; Gelfand, Israel; Retakh, Vladimir 35 1997 Selected topics in integral geometry. Transl. from the Russsian by A. Shtern. Zbl 1055.53059Gelfand, I. M.; Gindikin, S. G.; Graev, M. I. 32 2003 Quasideterminants. I. Zbl 0919.16011Gelfand, I.; Retakh, V. 32 1997 Webs, Veronese curves, and bihamiltonian systems. Zbl 0739.58021Gelfand, Israel M.; Zakharevich, Ilya 31 1991 Calculation of the amount of information about a random function contained in another such function. Zbl 0087.13201Gel’fand, I. M.; Yaglom, A. M. 31 1959 On rings of continuous functions on topological spaces. JFM 65.0500.03Gelfand, I.; Kolmogoroff, A. 31 1939 Combinatorics of hypergeometric functions associated with positive roots. Zbl 0876.33011Gelfand, Israel M.; Graev, Mark I.; Postnikov, Alexander 30 1997 Unitäre Darstellungen der klassischen Gruppen. Zbl 0077.03405Gelfand, I. M.; Neumark, M. A. 30 1957 The Schouten bracket and Hamilton operators. Zbl 0444.58010Gel’fand, I. M.; Dorfman, I. Ya. 29 1980 Algebraic bundles over \(\mathbb P^n\) and problems of linear algebra. Zbl 0424.14002Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I. 29 1979 Verallgemeinerte Funktionen (Distributionen). I: Verallgemeinerte Funktionen und das Rechnen mit ihnen. Zbl 0122.11401Gelfand, I. M.; Schilow, G. E. 29 1960 Surfaces on Lie groups, on Lie algebras, and their integrability (with an appendix by Juan Carlos Alvarez Paiva). Zbl 0864.53003Fokas, A. S.; Gelfand, I. M. 28 1996 Generalized functions. Vol. 3. Theory of differential equations. Translated by Meinhard E. Mayer. Zbl 0355.46017Gel’fand, I. M.; Shilov, G. E. 28 1967 Abstrakte Funktionen und lineare Operatoren. Zbl 0020.36701Gelfand, I. 28 1938 Coxeter matroids. With illustrations by Anna Borovik. Zbl 1050.52005Borovik, Alexandre V.; Gelfand, I. M.; White, Neil 27 2003 Webs, Lenard schemes, and the local geometry of bi-Hamiltonian Toda and Lax structures. Zbl 0986.37060Gelfand, Israel M.; Zakharevich, Ilya 27 2000 A Lie algebra structure in a formal variational calculation. Zbl 0347.49023Gel’fand, I. M.; Dikii, L. A. 27 1976 On the structure of the regions of stability of linear canonical systems of differential equations with periodic coefficients. Zbl 0079.10905Gel’fand, I. M.; Lidskij, V. B. 27 1958 Commutative normed rings. Zbl 0063.01567Gel’fand, I. M.; Raĭkov, D. A.; Shilov, G. E. 27 1946 Models of representations of compact Lie groups. Zbl 0339.22009Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I. 26 1976 Abstrakte Funktionen und lineare Operatoren. JFM 64.0368.02Gelfand, I. 26 1938 Hyperdeterminants. Zbl 0774.15002Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 24 1992 General theory of hypergeometric functions. Zbl 0645.33010Gel’fand, I. M. 24 1986 Problems of linear algebra and classification of quadruples of subspaces in a finite-dimensional vector space. Zbl 0294.15002Gelfand, I. M.; Ponomarev, V. A. 24 1972 Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials. Zbl 0992.16025Gelfand, Israel; Retakh, Vladimir; Wilson, Robert Lee 23 2001 The resolvent and Hamiltonian systems. Zbl 0412.58018Gel’fand, I. M.; Dikij, L. A. 23 1977 Crofton’s function and inversion formulas in real integral geometry. Zbl 0731.53066Gel’fand, I. M.; Graev, M. I. 22 1991 Hamiltonian operators and infinite-dimensional Lie algebras. Zbl 0487.58008Gel’fand, I. M.; Dorfman, I. Ya. 22 1982 The Schouten bracket and Hamiltonian operators. Zbl 0455.58013Gel’fand, I. M.; Dorfman, I. Ya. 22 1981 Representations of the group \(\text{SL}(2, R)\), where \(R\) is a ring of functions. Zbl 0288.22005Vershik, A. M.; Gel’fand, I. M.; Graev, M. I. 22 1973 Finite-dimensional representations of groups of orthogonal matrices. Zbl 0037.15302Gel’fand, I. M.; Tsetlin, M. L. 22 1950 Fundamental solutions of the Tricomi operator. III. Zbl 1083.35068Barros-Neto, J.; Gelfand, Israel M. 21 2005 Nonabelian integrable systems, quasideterminants, and Marchenko lemma. Zbl 0948.37055Etingof, Pavel; Gelfand, Israel; Retakh, Vladimir 21 1998 Combinatorial geometries and strata of a torus on homogeneous compact manifolds. Zbl 0629.14035Gel’fand, I. M.; Serganova, V. V. 21 1987 Über verschiedene Methoden der Einführung der Topologie in die Menge der maximalen Ideale eines normierten Ringes. JFM 67.0407.01Gelfand, I.; Šilov, G. 21 1941 On rings of continuous functions on topological spaces. Zbl 0021.41103Gelfand, I.; Kolmogoroff, A. 21 1939 Fractional powers of operators and Hamiltonian systems. Zbl 0346.35085Gel’fand, I. M.; Dikiĭ, L. A. 20 1976 Differential operators on a cubic cone. Zbl 0257.58010Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I. 20 1972 The structure of the Lie field connected with a split semisimple Lie algebra. Zbl 0244.17007Gel’fand, I. M.; Kirillov, A. A. 20 1969 Unitary representations of the Lorentz group. Zbl 0037.15303Gel’fand, I. M.; Naĭmark, M. A. 20 1947 Integral geometry in affine and projective spaces. Zbl 0474.52010Gel’fand, I. M.; Gindikin, S. G.; Graev, M. I. 19 1982 Representations of the group \(\text{SL}(2, R)\), where \(R\) is a ring of functions. Zbl 0297.22003Vershik, A. M.; Gel’fand, I. M.; Graev, M. I. 19 1973 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 1339.01004Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 18 2016 Fundamental solutions for the Tricomi operator. II. Zbl 1017.35081Barros-Neto, J.; Gelfand, I. M. 18 2002 A combinatorial formula for the Pontrjagin classes. Zbl 0756.57015Gelfand, I. M.; MacPherson, Robert D. 18 1992 Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 18 1990 Generalized functions. Vol. 5. Integral geometry and related problems in the theory of representations. Zbl 0115.16701Gel’fand, I. M.; Graev, M. I.; Vilenkin, N. Ya. 18 1962 Irreducible unitary representations of locally bicompact groups. Zbl 0063.01566Gelfand, I. M. 18 1943 Zur Theorie der Charaktere der Abelschen topologischen Gruppen. JFM 67.0407.02Gelfand, I. 18 1941 Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 17 1990 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 1339.01004Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 18 2016 Generalized functions. Vol. 1: Properties and operations. Translated from the Russian by E. Saletan. Reprint of the 1964 original published by Academic Press. Zbl 1339.01006Gel’fand, I. M.; Shilov, G. E. 11 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 1339.01005Gel’fand, I. M.; Graev, M. I.; Vilenkin, N. Ya. 10 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 1339.01009Gel’fand, I. M.; Vilenkin, N. Ya. 6 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 1339.01008Gel’fand, I. M.; Shilov, G. E. 1 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 1339.01007Gel’fand, I. M.; Shilov, G. E. 1 2016 Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 101 2008 Quasideterminants. Zbl 1079.15007Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Wilson, Robert Lee 110 2005 Fundamental solutions of the Tricomi operator. III. Zbl 1083.35068Barros-Neto, J.; Gelfand, Israel M. 21 2005 On a class of algebras associated to directed graphs. Zbl 1080.05040Gelfand, Israel; Retakh, Vladimir; Serconek, Shirlei; Wilson, Robert Lee 14 2005 Factorizations of polynomials over noncommutative algebras and sufficient sets of edges in directed graphs. Zbl 1112.05048Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Wilson, Robert Lee 11 2005 Hypergeometric functions over an arbitrary field. Zbl 1073.33010Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. 7 2004 Prediction of the structural motifs of sandwich proteins. Zbl 1064.92018Fokas, A. S.; Gelfand, I. M.; Kister, A. E. 1 2004 Selected topics in integral geometry. Transl. from the Russsian by A. Shtern. Zbl 1055.53059Gelfand, I. M.; Gindikin, S. G.; Graev, M. I. 32 2003 Coxeter matroids. With illustrations by Anna Borovik. Zbl 1050.52005Borovik, Alexandre V.; Gelfand, I. M.; White, Neil 27 2003 Quaternionic quasideterminants and determinants. Zbl 1037.15006Gelfand, Israel; Retakh, Vladimir; Wilson, Robert Lee 12 2003 Correction to “Fundamental solutions for the Tricomi operator. II”. Zbl 1029.35192Barros-Neto, J.; Gelfand, I. M. 4 2003 Fundamental solutions for the Tricomi operator. II. Zbl 1017.35081Barros-Neto, J.; Gelfand, I. M. 18 2002 Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials. Zbl 1015.16034Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Serconek, Shirlei; Wilson, Robert Lee 13 2002 On the topology of the combinatorial flag varieties. Zbl 1003.52010Borovik, A. V.; Gelfand, I. M.; Stone, D. A. 2 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 1081.26500Gelfand, I. M.; Glagoleva, E. G.; Shnol, E. E. 1 2002 Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials. Zbl 0992.16025Gelfand, Israel; Retakh, Vladimir; Wilson, Robert Lee 23 2001 Noncommutative algebras associated to complexes and graphs. Zbl 0992.16026Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir 6 2001 Hypergeometric functions over finite fields. Zbl 1059.33019Gelfand, I. M.; Graev, M. I. 2 2001 Mikhail Semenovich Agranovich (on his 70th birthday). Zbl 1017.01503Amosov, B. A.; Birman, M. S.; Vishik, M. I.; Volevich, L. R.; Gel’fand, I. M.; Friedlander, L. F.; Shubin, M. A. 2 2001 Hypergeometric \(\mathcal N\)-functions. Zbl 1059.33017Gelfand, I. M.; Graev, M. I. 1 2001 Representations of matroids in semimodular lattices. Zbl 0987.05035Borovik, Alexandre V.; Gelfand, Israel M.; White, Neil 1 2001 Oriented Lagrangian matroids. Zbl 0990.52003Booth, Richard F.; Borovik, Alexandre V.; Gelfand, Israel M.; White, Neil 1 2001 Calculus of variations. Transl. from the Russian and edited by Richard A. Silverman. Reprint of the 1963 original. Zbl 0964.49001Gelfand, I. M.; Fomin, S. V. 80 2000 Webs, Lenard schemes, and the local geometry of bi-Hamiltonian Toda and Lax structures. Zbl 0986.37060Gelfand, Israel M.; Zakharevich, Ilya 27 2000 A formula for constructing infinitely many surfaces on Lie algebras and integrable equations. Zbl 0976.35064Fokas, A. S.; Gel’fand, I. M.; Finkel, F.; Liu, Q. M. 12 2000 Lagrangian matroids and cohomology. Zbl 0956.05028Booth, Richard F.; Borovik, Alexandre V.; Gelfand, Israel M.; Stone, David A. 5 2000 Selected problems in integral geometry. Zbl 1056.53048Gel’fand, I. M.; Gindikin, S. G.; Graev, M. I. 4 2000 Louck polynomials and their relation to general hypergeometric functions and \(GG\)-functions. Zbl 1042.33009Gel’fand, I. M.; Graev, M. I. 2 2000 Mikhail Shlyomovich Birman (on his 70th birthday). Zbl 0958.01026Buslaev, 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 Combinatorial flag varieties. Zbl 0964.05019Borovik, Alexandre V.; Gelfand, Israel M.; White, Neil 2 2000 Matroid homology. Zbl 0961.05014Alekseyevskaya, Tatiana V.; Borovik, Alexandre V.; Gelfand, I. M.; White, Neil 1 2000 Fundamental solutions for the Tricomi operator. Zbl 0945.35063Barros-Neto, J.; Gelfand, I. M. 35 1999 GG functions and their relations to general hypergeometric functions. Zbl 0962.33008Gelfand, I. M.; Graev, M. I. 3 1999 Fedosov manifolds. Zbl 0945.53047Gelfand, Israel; Retakh, Vladimir; Shubin, Mikhail 44 1998 Nonabelian integrable systems, quasideterminants, and Marchenko lemma. Zbl 0948.37055Etingof, Pavel; Gelfand, Israel; Retakh, Vladimir 21 1998 Symplectic matroids. Zbl 0919.05012Borovik, Alexandre V.; Gelfand, Israel; White, Neil 12 1998 On exchange properties for Coxeter matroids and oriented matroids. Zbl 0889.05034Borovik, Alexandre V.; Gelfand, Israel; White, Neil 6 1998 General gamma functions, exponentials, and hypergeometric functions. Zbl 0919.33015Gelfand, I. M.; Graev, M. I.; Retakh, V. S. 2 1998 Factorization of differential operators, quasideterminants, and nonabelian Toda field equations. Zbl 0959.37054Etingof, Pavel; Gelfand, Israel; Retakh, Vladimir 35 1997 Quasideterminants. I. Zbl 0919.16011Gelfand, I.; Retakh, V. 32 1997 Combinatorics of hypergeometric functions associated with positive roots. Zbl 0876.33011Gelfand, Israel M.; Graev, Mark I.; Postnikov, Alexander 30 1997 Coxeter matroid polytopes. Zbl 0927.05019Borovik, Alexandre V.; Gelfand, Israel M.; White, Neil 9 1997 The lattice of flats and its underlying flag matroid polytope. Zbl 0929.05014Borovik, Alexandre V.; Gelfand, Israel M.; Vince, Andrew; White, Neil 7 1997 Crofton densities, symplectic geometry and Hilbert’s fourth problem. Zbl 0955.53042Álvarez, J. C.; Gelfand, I. M.; Smirnov, M. 4 1997 Algebraic aspects of integrable systems: in memory of Irene Dorfman. Zbl 0851.00060Fokas, A. S. (ed.); Gelfand, I. M. (ed.) 3 1997 \(GG\)-functions and their relation to general hypergeometric functions. Zbl 0922.33010Gel’fand, I. M.; Graev, M. I. 2 1997 Nonlinear integrable equations and nonlinear Fourier transform. Zbl 0866.35100Fokas, A. S.; Gelfand, I. M.; Zyskin, M. V. 1 1997 The Arnold-Gelfand mathematical seminars. Zbl 0857.00029Arnold, V. I. (ed.); Gelfand, I. M. (ed.); Retakh, V. S. (ed.); Smirnov, M. (ed.) 1 1997 Surfaces on Lie groups, on Lie algebras, and their integrability (with an appendix by Juan Carlos Alvarez Paiva). Zbl 0864.53003Fokas, A. S.; Gelfand, I. M. 28 1996 Noncommutative Vieta theorem and symmetric functions. Zbl 0865.05074Gelfand, Israel; Retakh, Vladimir 14 1996 Inversion method for magnetoencephalography. Zbl 0844.92005Fokas, A. S.; Gelfand, I. M.; Kurylev, Y. 10 1996 Boundaries of Coxeter matroids. Zbl 0858.05025Borovik, Alexandre V.; Gelfand, Israel; White, Neil 4 1996 Chern-Simons classes and cocycles on the Lie algebra of the gauge group. Zbl 0867.57020Gelfand, I. M.; Smirnov, M. M. 1 1996 A unified method for solving linear and nonlinear evolution equations and an application to integrable surfaces. Zbl 0882.35111Fokas, A. S.; Gelfand, I. M. 1 1996 Noncommutative symmetric functions. Zbl 0831.05063Gelfand, Israel M.; Krob, Daniel; Lascoux, Alain; Leclerc, Bernard; Retakh, Vladimir S.; Thibon, Jean-Yves 237 1995 Projective orientations of matroids. Zbl 0835.05014Gelfand, Israel M.; Rybnikov, Grigori L.; Stone, David A. 1 1995 Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 677 1994 Integrability of linear and nonlinear evolution equations and the associated nonlinear Fourier transforms. Zbl 0807.35138Fokas, A. S.; Gelfand, I. M. 15 1994 \(WP\)-matroids and thin Schubert cells on Tits systems. Zbl 0805.05013Borovik, Alexandre V.; Gelfand, Israel M. 9 1994 Lagrangians satisfying Crofton formulas, Radon transforms, and nonlocal differentials. Zbl 0813.53045Gelfand, Israel M.; Smirnov, Mikhail M. 8 1994 The algebra of Chern-Simons classes, the Poisson bracket on it, and the action of the gauge group. Zbl 0842.58025Gelfand, Israel M.; Smirnov, Mikhail M. 4 1994 The spectral theory for a pencil of skewsymmetrical differential operators of the third order. Zbl 0815.47009Gelfand, Israel M.; Zakharevich, Ilya 4 1994 Quadratic Poisson algebras and their infinite-dimensional extensions. Zbl 0824.58030Fokas, A. S.; Gel’fand, I. M. 2 1994 Quadratic algebras and skew-fields. Zbl 0821.16017Corwin, L. J.; Gel’fand, I. M.; Goodman, Roe 1 1994 Duality and minors of secondary polyhedra. Zbl 0727.05018Billera, Louis J.; Gel’fand, I. M.; Sturmfels, Bernd 15 1993 On the local geometry of a bihamiltonian structure. Zbl 0809.57013Gelfand, Israel M.; Zakharevich, Ilya 14 1993 A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 12 1993 Singular representations of the group \(SU(n,1)\) and projective unitary representations of the current group \(SU(n,1)^ X\). Zbl 0829.22027Gel’fand, I. M.; Graev, M. I. 2 1993 The \(q\)-hypergeometric equation of Gauss and a description of its series and integral solutions. Zbl 0832.33011Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. 2 1993 Bi-Hamiltonian structures and integrability. Zbl 0832.58020Fokas, A. S.; Gel’fand, I. M. 2 1993 Crofton densities and nonlocal differentials. Zbl 0801.53055Gelfand, I. M.; Smirnov, M. M. 2 1993 On the dimension and degree of the projective dual variety: A \(q\)-analog of the Katz-Kleiman formula. Zbl 0828.14037Gelfand, I. M.; Kapranov, M. M. 2 1993 Hopf algebra structures for the Heisenberg algebra. I. Zbl 0818.16029Corwin, L.; Gelfand, I. M. 2 1993 Algebra. Zbl 0785.00001Gelfand, 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 0870.33008Gel’fand, Israel M.; Graev, Mark I.; Retakh, Vladimir S. 1 1993 The Gelfand Seminars, 1990-1992. Zbl 0780.00044Corwin, L. (ed.); Gelfand, I. (ed.); Lepowsky, J. (ed.) 1 1993 A theory of noncommutative determinants and characteristic functions of graphs. Zbl 0799.15003Gel’fand, I. M.; Retakh, V. S. 41 1992 General hypergeometric systems of equations and series of hypergeometric type. Zbl 0798.33010Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. 37 1992 Hyperdeterminants. Zbl 0774.15002Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 24 1992 A combinatorial formula for the Pontrjagin classes. Zbl 0756.57015Gelfand, I. M.; MacPherson, Robert D. 18 1992 Difference analogs and \(q\)-analogs of general hypergeometric systems of differential equations. Zbl 0792.39006Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. 8 1992 On the cohomology of the Lie algebra of Hamiltonian vector fields. Zbl 0783.17009Gel’fand, I. M.; Mathieu, O. 1 1992 Determinants of matrices over noncommutative rings. Zbl 0748.15005Gel’fand, I. M.; Retakh, V. S. 85 1991 Webs, Veronese curves, and bihamiltonian systems. Zbl 0739.58021Gelfand, Israel M.; Zakharevich, Ilya 31 1991 Crofton’s function and inversion formulas in real integral geometry. Zbl 0731.53066Gel’fand, I. M.; Graev, M. I. 22 1991 The algebra of Weyl symmetrised polynomials and its quantum extension. Zbl 0735.17029Gel’fand, I. M.; Fairlie, D. B. 14 1991 Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 1 1991 Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 81 1990 Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 18 1990 Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 17 1990 Algebraic and topological invariants of oriented matroids. Zbl 0717.33009Gel’fand, I. M.; Rybnikov, G. L. 17 1990 Representation theory and automorphic functions. Transl. from the Russian by K.A. Hirsch. Reprint. Zbl 0718.11022Gel’fand, I. M.; Graev, M. I.; Piatetski-Shapiro, Ilya I. 17 1990 Discriminants of polynomials in several variables. Zbl 0719.15003Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 11 1990 On a variant of noncommutative differential geometry. Zbl 0712.17026Gel’fand, I. M.; Daletskij, Yu. L.; Tsygan, B. L. 8 1990 ...and 273 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,512 Authors 46 Gel’fand, Israil’ Moiseevich 41 Thibon, Jean-Yves 34 Sturmfels, Bernd 30 Albeverio, Sergio A. 29 Novelli, Jean-Christophe 25 Dickenstein, Alicia M. 24 Futorny, Vyacheslav M. 24 Vershik, Anatoliĭ Moiseevich 21 Kapranov, Mikhail M. 20 Mazorchuk, Volodymyr 19 Rubin, Boris 19 Zelevinskiĭ, Andreĭ V. 18 Bai, Chengming 18 Kac, Victor G. 17 Fokas, Athanassios S. 17 Graev, Mark Iosifovich 17 Retakh, Vladimir Solomonovich 16 Gesztesy, Fritz 16 Joseph, Anthony 15 Bergeron, Nantel 15 Patras, Frédéric 15 Wong, Patricia J. Y. 14 Olver, Peter John 14 Ringel, Claus Michael 13 Alesker, Semyon 13 Ebrahimi-Fard, Kurusch 13 Pilaud, Vincent 13 Sottile, Frank 12 Agarwal, Ravi P. 12 Emiris, Ioannis Z. 12 Jing, Naihuan 12 Ramirez, Luis Enrique 11 Borovik, Alexandre Vasilievich 11 Kondrat’yev, Yuriĭ Grygorovych 11 Lytvynov, Eugene W. 11 Matusevich, Laura Felicia 11 Neretin, Yuriĭ Aleksandrovich 11 Özçağ, Emin 11 Tsikh, Avgust Karlovich 11 Wang, Jingping 11 Zhang, Weinian 10 Ardila Mantilla, Federico 10 Bernstein, Joseph 10 Busé, Laurent 10 D’Andrea, Carlos 10 Goncharov, Alexander Borisovich 10 Hassan, Mahmood-Ul 10 Molev, Alexander I. 10 Ramm, Alexander G. 10 Rojas, J. Maurice 10 Rundell, William 10 Sadykov, Timur Mradovich 10 Sanguineti, Marcello 10 Takeuchi, Kiyoshi 10 Xu, Xiaoping 9 Benci, Vieri 9 De Sole, Alberto 9 Derkachëv, Sergeĭ Èduardovich 9 Duan, Haibao 9 El-Sayed, Ahmed Mohamed Ahmed 9 Estrada, Ricardo 9 Feĭgin, Boris L’vovich 9 Fuchssteiner, Benno 9 Hivert, Florent 9 Khrennikov, Andreĭ Yur’evich 9 Kobayashi, Toshiyuki 9 Lavrov, Petr M. 9 Ooms, Alfons I. 9 Ottaviani, Giorgio Maria 9 Shelkovich, Vladimir M. 9 Simson, Daniel 9 Stroppel, Catharina H. 9 Suzuki, Takashi 9 Van Willigenburg, Stephanie J. 9 Varchenko, Alexander Nikolaevich 9 Walther, Uli 9 White, Neil M. 9 Wilson, Robert Lee 9 Zúñiga-Galindo, Wilson A. 8 Alpay, Daniel Aron 8 Dobrev, Vladimir K. 8 Fink, Alex 8 Forsgård, Jens 8 Gindikin, Simon Grigorevich 8 Grundland, Alfred Michel 8 Isaev, Alexander 8 Jeronimo, Gabriela 8 Karimov, Erkinjon Tulkinovich 8 Katsevich, Alexander I. 8 Kim, Sangjib 8 Kimura, Hironobu 8 Koldobsky, Alexander L. 8 Kryński, Wojciech 8 Kyrchei, Ivan I. 8 Manchon, Dominique 8 Morozov, Alexei Yurievich 8 Oevel, Walter 8 Pilipović, Stevan 8 Takayama, Nobuki 8 Weist, Thorsten ...and 7,412 more Authors all top 5 Cited in 628 Serials 293 Journal of Mathematical Physics 272 Journal of Algebra 270 Advances in Mathematics 235 Journal of Mathematical Analysis and Applications 146 Transactions of the American Mathematical Society 144 Journal of Functional Analysis 137 Functional Analysis and its Applications 133 Communications in Mathematical Physics 110 Journal of Pure and Applied Algebra 100 Journal of Differential Equations 97 Proceedings of the American Mathematical Society 96 Duke Mathematical Journal 91 Journal of Geometry and Physics 89 Theoretical and Mathematical Physics 83 Linear Algebra and its Applications 81 Journal of Symbolic Computation 80 Journal of Mathematical Sciences (New York) 71 Communications in Algebra 71 Journal of High Energy Physics 70 Journal of Combinatorial Theory. 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