Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. 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. (English) Zbl 1339.01004 Providence, RI: AMS Chelsea Publishing (ISBN 978-1-4704-2664-4/hbk). xvi, 426 p. (2016). MSC: 01A75 46-03 46-02 35-02 43-02 46Fxx × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I.; Vilenkin, N. Ya. 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. (English) Zbl 1339.01005 Providence, RI: AMS Chelsea Publishing (ISBN 978-1-4704-2663-7/hbk). xvii, 449 p. (2016). MSC: 01A75 46-03 46-02 35-02 43-02 46Fxx × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Vilenkin, N. Ya. Generalized functions. Vol. 4: Applications of harmonic analysis. Translated from the Russian by Amiel Feinstein. Reprint of the 1964 original published by Academic Press. (English) Zbl 1339.01009 Providence, RI: AMS Chelsea Publishing (ISBN 978-1-4704-2662-0/hbk). xiv, 384 p. (2016). MSC: 01A75 46-03 46-02 35-02 43-02 46Fxx × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Shilov, G. E. 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. (English) Zbl 1339.01008 Providence, RI: AMS Chelsea Publishing (ISBN 978-1-4704-2661-3/hbk). x, 222 p. (2016). MSC: 01A75 46Fxx 46-02 47A70 35Dxx × Cite Format Result Cite Review PDF Backlinks: MO
Gel’fand, I. M.; Shilov, G. E. 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. (English) Zbl 1339.01007 Providence, RI: AMS Chelsea Publishing (ISBN 978-1-4704-2659-0/hbk). x, 261 p. (2016). MSC: 01A75 46-03 46-02 35-02 43-02 46Fxx × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Shilov, G. E. Generalized functions. Vol. 1: Properties and operations. Translated from the Russian by E. Saletan. Reprint of the 1964 original published by Academic Press. (English) Zbl 1339.01006 Providence, RI: AMS Chelsea Publishing (ISBN 978-1-4704-2658-3/hbk). xvii, 423 p. (2016). MSC: 01A75 46-03 46-02 35-02 43-02 46Fxx × Cite Format Result Cite Review PDF
Gelfand, Izrail M. Gindikin, Semen G. (ed.); Guillemin, Victor W. (ed.); Kirillov, Alexandr A. (ed.); Kostant, Bertram (ed.); Sternberg, Shlomo (ed.) Collected papers II. Edited by Semen G. Gindikin, Victor W. Guillemin, Alexandr A. Kirillov, Bertram Kostant and Shlomo Sternberg. Reprint of the 1988 edition. (English) Zbl 1333.22012 Springer Collected Works in Mathematics. Berlin: Springer (ISBN 978-3-662-48720-4/pbk). xiv, 1039 p. (2015). MSC: 22E47 01A75 22-02 20G05 20-02 17B35 × Cite Format Result Cite Review PDF
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. (English) Zbl 1138.14001 Modern Birkhäuser Classics. Boston, MA: Birkhäuser (ISBN 978-0-8176-4770-4/hbk). x, 523 p. (2008). Reviewer: Werner Kleinert (Berlin) MSC: 14-02 14M12 14M25 13D25 13C40 52B20 14F10 × Cite Format Result Cite Review PDF
Gelfand, Israel M. Mathematics as an adequate language. (English) Zbl 1158.00300 Etingof, Pavel (ed.) et al., The unity of mathematics. In honor of the ninetieth birthday of I. M. Gelfand. Papers from the conference held in Cambridge, MA, USA, August 31–September 4, 2003. Boston, MA: Birkhäuser (ISBN 0-8176-4076-2/hbk). Progress in Mathematics 244, xv-xxii (2006). MSC: 00A05 × Cite Format Result Cite Review PDF
Gelfand, I. M.; Graev, M. I.; Retakh, V. S. Gauss \(q\)-hypergeometric equation and its solutions as series and integrals. (English) Zbl 1200.33021 Russ. J. Math. Phys. 12, No. 2, 168-179 (2005). MSC: 33D15 × Cite Format Result Cite Review PDF
Gelfand, Israel; Retakh, Vladimir; Serconek, Shirlei; Wilson, Robert Lee On a class of algebras associated to directed graphs. (English) Zbl 1080.05040 Sel. Math., New Ser. 11, No. 2, 281-295 (2005). MSC: 05C20 15A15 16W30 16S37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Wilson, Robert Lee Factorizations of polynomials over noncommutative algebras and sufficient sets of edges in directed graphs. (English) Zbl 1112.05048 Lett. Math. Phys. 74, No. 2, 153-167 (2005). Reviewer: Abdulla Aljouiee (Riyadh) MSC: 05C20 05E05 16W30 16S37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barros-Neto, J.; Gelfand, Israel M. Fundamental solutions of the Tricomi operator. III. (English) Zbl 1083.35068 Duke Math. J. 128, No. 1, 119-140 (2005). Reviewer: Elena Gavrilova (Sofia) MSC: 35M10 45F05 35A08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Wilson, Robert Lee Quasideterminants. (English) Zbl 1079.15007 Adv. Math. 193, No. 1, 56-141 (2005). Reviewer: Jörg Feldvoss (Mobile) MSC: 15A15 05E05 16W30 15B33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. Hypergeometric functions over an arbitrary field. (English. Russian original) Zbl 1073.33010 Russ. Math. Surv. 59, No. 5, 831-905 (2004); translation from Usp. Mat. Nauk 59, No. 5, 29-100 (2004). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 33C70 33E50 × Cite Format Result Cite Review PDF Full Text: DOI
Gelfand, Israel; Retakh, Vladimir; Wilson, Robert Lee Quaternionic quasideterminants and determinants. (English) Zbl 1037.15006 Gindikin, S. G. (ed.), Lie groups and symmetric spaces. In memory of F. I. Karpelevich. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3472-X/hbk). Transl., Ser. 2, Am. Math. Soc. 210(54), 111-123 (2003). MSC: 15A15 15B33 × Cite Format Result Cite Review PDF Full Text: arXiv
Gelfand, I. M.; Gindikin, S. G.; Graev, M. I. Selected topics in integral geometry. Transl. from the Russsian by A. Shtern. (English) Zbl 1055.53059 Translations of Mathematical Monographs 220. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2932-7/hbk). xvi, 170 p. (2003). Reviewer: Enrique Macias-Virgós (Santiago de Compostela) MSC: 53C65 53-02 42A38 42B10 43A32 44A12 46F12 60D05 60E05 60E10 65R10 92C55 × Cite Format Result Cite Review PDF
Barros-Neto, J.; Gelfand, I. M. Correction to “Fundamental solutions for the Tricomi operator. II”. (English) Zbl 1029.35192 Duke Math. J. 117, No. 2, 385-387 (2003). Reviewer: Messoud Efendiev (Berlin) MSC: 35M10 46F10 35A08 × Cite Format Result Cite Review PDF Full Text: DOI
Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Serconek, Shirlei; Wilson, Robert Lee Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials. (English) Zbl 1015.16034 J. Algebra 254, No. 2, 279-299 (2002). Reviewer: Zhang Hechun (Beijing) MSC: 16S37 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gelfand, I. M.; Glagoleva, E. G.; Shnol, E. E. Functions and graphs. Translated and adapted from the Russian second edition by Thomas Walsh and Randell Magee. Reprint of the 1969 English edition. (English) Zbl 1081.26500 Mineola, NY: Dover Publications (ISBN 0-486-42564-9/pbk). vi, 105 p. (2002). MSC: 26-01 × Cite Format Result Cite Review PDF
Barros-Neto, J.; Gelfand, I. M. Fundamental solutions for the Tricomi operator. II. (English) Zbl 1017.35081 Duke Math. J. 111, No. 3, 561-584 (2002). Reviewer: Elena Gavrilova (Sofia) MSC: 35M10 35A08 × Cite Format Result Cite Review PDF Full Text: DOI
Gelfand, I. M.; Graev, M. I. Hypergeometric \(\mathcal N\)-functions. (English. Russian original) Zbl 1059.33017 Dokl. Math. 64, No. 1, 6-9 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 379, No. 1, 12-15 (2001). Reviewer: Sergei S. Platonov (MR1863839) MSC: 33C70 32A20 × Cite Format Result Cite Review PDF
Gelfand, I. M.; Graev, M. I. Hypergeometric functions over finite fields. (English. Russian original) Zbl 1059.33019 Dokl. Math. 64, No. 3, 402-406 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 381, No. 6, 732-737 (2001). MSC: 33C80 11T99 12E20 33C70 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I. \({\mathcal N}\)-functions and their relationships with solutions of general hypergeometric systems and \(GG\)-systems. (English. Russian original) Zbl 1060.33019 Russ. Math. Surv. 56, No. 4, 615-647 (2001); translation from Usp. Mat. Nauk 56, No. 4, 3-34 (2001). MSC: 33C70 32G34 33D70 × Cite Format Result Cite Review PDF Full Text: DOI
Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir Noncommutative algebras associated to complexes and graphs. (English) Zbl 0992.16026 Sel. Math., New Ser. 7, No. 4, 525-531 (2001). Reviewer: Paul M.Cohn (London) MSC: 16S37 05E05 16E05 16S36 12E12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gelfand, Israel; Retakh, Vladimir; Wilson, Robert Lee Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials. (English) Zbl 0992.16025 Sel. Math., New Ser. 7, No. 4, 493-523 (2001). Reviewer: Paul M.Cohn (London) MSC: 16S37 05E05 16S36 12E12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gel’fand, I. M.; Graev, M. I. Louck polynomials and their relation to general hypergeometric functions and \(GG\)-functions. (English. Russian original) Zbl 1042.33009 Dokl. Math. 61, No. 3, 336-339 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 372, No. 2, 151-154 (2000). Reviewer: Antoni Wawrzyńczyk (M.R. 2002b:33019) MSC: 33C80 20G05 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Gindikin, S. G.; Graev, M. I. Selected problems in integral geometry. (Izbrannye zadachi integral’noj geometrii.) (Russian) Zbl 1056.53048 Moskva: Dobrosvet (ISBN 5-7913-0034-4). 208 p. (2000). MSC: 53C65 53-02 42A38 42B10 43A32 44A12 46F12 60D05 60E05 60E10 65R10 92C55 × Cite Format Result Cite Review PDF
Gelfand, I. M.; Retakh, V. S. The Gelfand Mathematical Seminars, 1996–1999. Dedicated to the memory of Chih-Han Sah. (English) Zbl 0931.00019 Boston, MA: Birkhäuser. ix, 154 p. (2000). MSC: 00B15 17-06 22-06 33-06 52-06 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I. Special functions related to complex Lie groups. (English. Russian original) Zbl 0966.33008 Dokl. Math. 59, No. 1, 20-23 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 364, No. 2, 151-154 (1999). Reviewer: J.Saurer (Regensburg) MSC: 33C80 22E99 × Cite Format Result Cite Review PDF
Gelfand, I. M.; Graev, M. I. GG functions and their relations to general hypergeometric functions. (English) Zbl 0962.33008 Lett. Math. Phys. 50, No. 1, 1-28 (1999). Reviewer: C.A.Berenstein (College Park) MSC: 33C80 33C70 × Cite Format Result Cite Review PDF Full Text: DOI
Gelfand, Israel M.; Graev, Mark I. GG-functions and their relations to A-hypergeometric functions. arXiv:math/9905134 Preprint, arXiv:math/9905134 [math.AG] (1999). × Cite Format Result Cite Full Text: arXiv
Gel’fand, I. M.; Graev, M. I. Fourier transforms of rapidly increasing functions and the evaluation of integrals in the theory of \(GG\)-functions. (English. Russian original) Zbl 1065.33501 Dokl. Math. 57, No. 3, 439-442 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 360, No. 5, 598-602 (1998). MSC: 33C70 46F12 × Cite Format Result Cite Review PDF
Gelfand, I. M.; Graev, M. I.; Retakh, V. S. General gamma functions, exponentials, and hypergeometric functions. (English. Russian original) Zbl 0919.33015 Russ. Math. Surv. 53, No. 1, 1-55 (1998); translation from Usp. Mat. Nauk 53, No. 1, 3-60 (1998). Reviewer: G.Zet (Iaşi) MSC: 33D70 × Cite Format Result Cite Review PDF Full Text: DOI
Etingof, Pavel; Gelfand, Israel; Retakh, Vladimir Nonabelian integrable systems, quasideterminants, and Marchenko lemma. (English) Zbl 0948.37055 Math. Res. Lett. 5, No. 1-2, 1-12 (1998). MSC: 37K60 37K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gelfand, Israel M.; Graev, Mark I.; Postnikov, Alexander Combinatorics of hypergeometric functions associated with positive roots. (English) Zbl 0876.33011 Arnold, V. I. (ed.) et al., The Arnold-Gelfand mathematical seminars: geometry and singularity theory. Boston, MA: Birkhäuser. 205-221 (1997). Reviewer: A.Klimyk (Kiev) MSC: 33C80 × Cite Format Result Cite Review PDF
Fokas, A. S.; Gelfand, I. M.; Zyskin, M. V. Nonlinear integrable equations and nonlinear Fourier transform. (English) Zbl 0866.35100 Arnold, V. I. (ed.) et al., The Arnold-Gelfand mathematical seminars: geometry and singularity theory. Boston, MA: Birkhäuser. 139-170 (1997). Reviewer: I.Sh.Mogilevski (Ferrara) MSC: 35Q53 35Q55 35C10 42A38 × Cite Format Result Cite Review PDF Full Text: arXiv
Arnold, V. I. (ed.); Gelfand, I. M. (ed.); Retakh, V. S. (ed.); Smirnov, M. (ed.) The Arnold-Gelfand mathematical seminars. (English) Zbl 0857.00029 Boston, MA: Birkhäuser. vi, 437 p. (1997). MSC: 00B25 53-06 57-06 × Cite Format Result Cite Review PDF
Fokas, A. S. (ed.); Gelfand, I. M. (ed.) Algebraic aspects of integrable systems: in memory of Irene Dorfman. (English) Zbl 0851.00060 Progress in Nonlinear Differential Equations and their Applications. 26. Boston, MA: Birkhäuser. viii, 350 p. (1997). MSC: 00B25 35-06 58-06 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. A. \(GG\)-functions of several variables and their relation to general hypergeometric functions. (English. Russian original) Zbl 0970.33003 Dokl. Math. 55, No. 3, 406-409 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 354, No. 5, 583-586 (1997). MSC: 33C20 33C67 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I. \(GG\)-functions of one variable. (English. Russian original) Zbl 0966.33003 Dokl. Math. 55, No. 3, 344-346 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 354, No. 2, 155-158 (1997). MSC: 33C20 33C70 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I.; Zyskin, M. The problem of integral geometry on \(K^3\) related to Fourier analysis on the group \(\text{SL}(2,K)\) where \(K\) is an arbitrary continuous locally compact field. (English. Russian original) Zbl 0976.53083 Dokl. Math. 55, No. 1, 9-11 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 352, No. 1, 15-17 (1997). MSC: 53C65 44A12 22E30 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I. \(GG\)-functions and their relation to general hypergeometric functions. (English. Russian original) Zbl 0922.33010 Russ. Math. Surv. 52, No. 4, 639-684 (1997); translation from Usp. Mat. Nauk 52, No. 4, 3-48 (1997). Reviewer: A.Klimyk (Kyïv) MSC: 33C70 33C20 33C05 × Cite Format Result Cite Review PDF Full Text: DOI
Gelfand, I.; Retakh, V. Quasideterminants. I. (English) Zbl 0919.16011 Sel. Math., New Ser. 3, No. 4, 517-546 (1997). Reviewer: P.M.Cohn (London) MSC: 16K40 15A15 05E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Etingof, Pavel; Gelfand, Israel; Retakh, Vladimir Factorization of differential operators, quasideterminants, and nonabelian Toda field equations. (English) Zbl 0959.37054 Math. Res. Lett. 4, No. 2-3, 413-425 (1997). MSC: 37K10 37K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gelfand, Israel; Retakh, Vladimir Noncommutative Vieta theorem and symmetric functions. (English) Zbl 0865.05074 Gelfand, I. M. (ed.) et al., The Gelfand Mathematical Seminars, 1993-1995. Papers from the seminars, held at Rutgers University, New Brunswick, New Jersey, USA and at IHES, Bures-sur-Yvette, France. Boston, MA: Birkhäuser. The Gelfand Mathematical Seminars. 93-100 (1996). Reviewer: N.Bergeron (North York) MSC: 05E05 15A15 12Y05 × Cite Format Result Cite Review PDF Full Text: arXiv
Gelfand, I. M. (ed.); Lepowsky, J. (ed.); Smirnov, M. M. (ed.) The Gelfand Mathematical Seminars, 1993-1995. Papers from the seminars, held at Rutgers University, New Brunswick, New Jersey, USA and at IHES, Bures-sur-Yvette, France. (English) Zbl 0839.00007 The Gelfand Mathematical Seminars. Boston, MA: Birkhäuser. 274 p. (1996). MSC: 00B15 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I.; Spirin, S. A. Hypergeometric functions and the Newton polytope associated with the action of the torus \((\mathbb C^*)\) on \(\bigwedge^ k\mathbb C^n\). (English. Russian original) Zbl 1066.33503 Dokl. Math. 53, No. 3, 348-351 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 348, No. 2, 155-158 (1996). MSC: 33C70 14M25 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I. Hypergeometric functions on the space of \(p\)-dimensional matrices. (English. Russian original) Zbl 0887.33012 Dokl. Math. 53, No. 1, 1-4 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 346, No. 1, 7-10 (1996). Reviewer: Luo Ming (Chongqing) MSC: 33C70 × Cite Format Result Cite Review PDF
Gelfand, Israel M.; Krob, Daniel; Lascoux, Alain; Leclerc, Bernard; Retakh, Vladimir S.; Thibon, Jean-Yves Noncommutative symmetric functions. (English) Zbl 0831.05063 Adv. Math. 112, No. 2, 218-348 (1995). Reviewer: V.A.Ufnarovski (Lund) MSC: 05E05 05E10 15A09 15A15 41A21 68Q70 16W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gel’fand, I. M.; Graev, M. I. Hypergeometric functions on flag spaces. (English. Russian original) Zbl 0888.33004 Russ. Acad. Sci., Dokl., Math. 50, No. 2, 204-209 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 338, No. 2, 154-157 (1994). Reviewer: E.Horikawa (Tokyo) MSC: 33C20 33C70 32M10 22E45 32S40 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S.; Spirin, S. A. \((r,s)\)-exponentials. (English. Russian original) Zbl 0841.33006 Russ. Acad. Sci., Dokl., Math. 49, No. 3, 577-581 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 6, 730-732 (1994). Reviewer: A.Klimyk (Kiev) MSC: 33D05 33D70 33D80 33B10 × Cite Format Result Cite Review PDF
Gelfand, Israel M.; Smirnov, Mikhail M. Lagrangians satisfying Crofton formulas, Radon transforms, and nonlocal differentials. (English) Zbl 0813.53045 Adv. Math. 109, No. 2, 188-227 (1994). Reviewer: L.Santalo (Buenos Aires) MSC: 53C65 44A12 × Cite Format Result Cite Review PDF Full Text: DOI
Gelfand, I.; Neumark, M. On the imbedding of normed rings into the ring of operators in Hilbert space. (English) Zbl 0824.46060 Doran, Robert S. (ed.), \(C^*\)-Algebras: 1943-1993. A fifty year celebration. AMS special session commemorating the first fifty years of \(C^*\)-algebra theory, January 13-14, 1993, San Antonio, TX, USA. Providence, RI: American Mathematical Society. Contemp. Math. 167, 3-20 (1994). MSC: 46L05 46-03 × Cite Format Result Cite Review PDF
Fokas, A. S.; Gel’fand, I. M. Quadratic Poisson algebras and their infinite-dimensional extensions. (English) Zbl 0824.58030 J. Math. Phys. 35, No. 6, 3117-3131 (1994). Reviewer: S.Parmentier (Villeurbanne) MSC: 37J35 37K10 17A45 17B65 × Cite Format Result Cite Review PDF Full Text: DOI
Gelfand, Israel M.; Zakharevich, Ilya The spectral theory for a pencil of skewsymmetrical differential operators of the third order. (English) Zbl 0815.47009 Commun. Pure Appl. Math. 47, No. 8, 1031-1041 (1994). MSC: 47A56 47F05 × Cite Format Result Cite Review PDF Full Text: DOI
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. Discriminants, resultants, and multidimensional determinants. (English) Zbl 0827.14036 Mathematics: Theory & Applications. Boston, MA: Birkhäuser. vii, 523 p. (1994). Reviewer: W.Bruns MSC: 14M25 14-02 14M12 13D25 13-01 14-01 13C40 15A15 13F20 52B20 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. \((R,S)\)-hypergeometric functions of one variable. (English. Russian original) Zbl 0841.33007 Russ. Acad. Sci., Dokl., Math. 48, No. 3, 591-596 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 5, 567-570 (1993). Reviewer: E.Horikawa (Tokyo) MSC: 33D80 33D20 33D15 33C80 33C20 22E45 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. The \(q\)-hypergeometric equation of Gauss and a description of its series and integral solutions. (English. Russian original) Zbl 0832.33011 Russ. Acad. Sci., Dokl., Math. 48, No. 1, 40-45 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 331, No. 2, 140-143 (1993). Reviewer: A.Klimyk (Kiev) MSC: 33D20 33D70 33D80 39A12 39A10 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I. \(GG\)-functions. (English. Russian original) Zbl 0840.33005 Russ. Acad. Sci., Dokl., Math. 47, No. 1, 134-138 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 328, No. 6, 645-648 (1993). Reviewer: A.Wawrzynczyk (MR 94j:33027) MSC: 33C70 33D70 22E45 33C80 33D05 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. A correction to the paper “Hypergeometric functions and toric varieties”. (English. Russian original) Zbl 0994.33501 Funct. Anal. Appl. 27, No. 4, 295 (1993); translation from Funkts. Anal. Prilozh. 27, No. 4, 91 (1993). MSC: 33E30 14L99 22E30 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I. Projective representations of the current group \(\text{SU} (1,1)^ X\). (English. Russian original) Zbl 0832.43007 Funct. Anal. Appl. 27, No. 4, 275-277 (1993); translation from Funkts. Anal. Prilozh. 27, No. 4, 65-68 (1993). Reviewer: A.Klimyk (Kiev) MSC: 43A65 22E45 × Cite Format Result Cite Review PDF
Gelfand, I. M.; Smirnov, M. M. Crofton densities and nonlocal differentials. (English) Zbl 0801.53055 Corwin, L. (ed.) et al., The Gelfand Seminars, 1990-1992. Basel: Birkhäuser. 35-50 (1993). Reviewer: E.Teufel (Stuttgart) MSC: 53C65 44A12 × Cite Format Result Cite Review PDF
Corwin, L. (ed.); Gelfand, I. (ed.); Lepowsky, J. (ed.) The Gelfand Seminars, 1990-1992. (English) Zbl 0780.00044 Basel: Birkhäuser. 235 p. sFr 118.00; DM 138.00; öS 1’076.40; £49.90 /hc (1993). MSC: 00B30 × Cite Format Result Cite Review PDF
Gelfand, Israel M.; Graev, Mark I.; Retakh, Vladimir S. Hypergeometric functions on the external power \(\Lambda^k\mathbb{C}^n\) and on the Grassmannian \(G_{k,n}\), their relationships and integral representations. (English) Zbl 0921.33006 Russ. J. Math. Phys. 1, No. 3, 289-311 (1993). Reviewer: J.S.Joel (95a:33035) MSC: 33C80 22E45 32S60 33C50 32M15 × Cite Format Result Cite Review PDF
Gel’fand, Israel M.; Graev, Mark I.; Retakh, Vladimir S. Reduction formulas for hypergeometric functions associated with the Grassmannian \(G_{k,n}\) and description of these functions on strata of small codimension in \(G_{k,n}\). (English) Zbl 0870.33008 Russ. J. Math. Phys. 1, No. 1, 19-56 (1993). MSC: 33C70 33C65 14M15 33E30 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Retakh, V. S. A theory of noncommutative determinants and characteristic functions of graphs. (English. Russian original) Zbl 0799.15003 Funct. Anal. Appl. 26, No. 4, 231-246 (1992); translation from Funkts. Anal. Prilozh. 26, No. 4, 1-20 (1992). MSC: 15A15 11A55 15B33 05C75 × Cite Format Result Cite Review PDF Full Text: DOI
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. Difference analogs and \(q\)-analogs of general hypergeometric systems of differential equations. (English. Russian original) Zbl 0792.39006 Russ. Acad. Sci., Dokl., Math. 46, No. 1, 30-35 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 325, No. 2, 215-220 (1992). Reviewer: S.Balint (Timişoara) MSC: 39A12 35G05 33D20 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. Generalized hypergeometric functions associated with an arbitrary finite or locally compact continuous field. (English. Russian original) Zbl 0801.33020 Russ. Acad. Sci., Dokl., Math. 45, No. 2, 343-347 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 323, No. 3, 394-397 (1992). Reviewer: Yu.N.Mukhin (Sverdlovsk) MSC: 33C80 22E45 35D99 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. General hypergeometric systems of equations and series of hypergeometric type. (English. Russian original) Zbl 0798.33010 Russ. Math. Surv. 47, No. 4, 1-88 (1992); translation from Usp. Mat. Nauk 47, No. 4(286), 3-82 (1992). Reviewer: H.Kimura MSC: 33C80 × Cite Format Result Cite Review PDF Full Text: DOI
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. Hyperdeterminants. (English) Zbl 0774.15002 Adv. Math. 96, No. 2, 226-263 (1992). Reviewer: M.Morales (Saint-Martin-d’Heres) MSC: 15A15 14N10 × Cite Format Result Cite Review PDF Full Text: DOI
Gel’fand, I. M.; Mathieu, O. On the cohomology of the Lie algebra of Hamiltonian vector fields. (English) Zbl 0783.17009 J. Funct. Anal. 108, No. 2, 347-360 (1992). Reviewer: J.Kubarski (Łódź) MSC: 17B56 17B66 37J99 × Cite Format Result Cite Review PDF Full Text: DOI
Gel’fand, I. M.; Graev, M. I. Crofton’s function and inversion formulas in real integral geometry. (English. Russian original) Zbl 0731.53066 Funct. Anal. Appl. 25, No. 1, 1-5 (1991); translation from Funkts. Anal. Prilozh. 25, No. 1, 1-6 (1991). Reviewer: W.Mozgawa (Lublin) MSC: 53C65 × Cite Format Result Cite Review PDF Full Text: DOI
Gelfand, Israel M.; Zakharevich, Ilya Webs, Veronese curves, and bihamiltonian systems. (English) Zbl 0739.58021 J. Funct. Anal. 99, No. 1, 150-178 (1991). Reviewer: D.Nguyen Huu (Dalat) MSC: 37J99 53A60 × Cite Format Result Cite Review PDF Full Text: DOI
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. Hypergeometric functions on the \(k\)th exterior power of the space \(\mathbb{C}^ n\) and the Grassmannian \(G_{k,n}\), and the connection between them. (English. Russian original) Zbl 0801.33019 Sov. Math., Dokl. 44, No. 2, 375-380 (1992); translation from Dokl. Akad. Nauk SSSR 320, No. 1, 20-24 (1991). Reviewer: Yu.N.Mukhin (Sverdlovsk) MSC: 33C80 22E45 33C70 32S60 32S45 32M10 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. Reduction formulas for hypergeometric functions on the Grassmannian \(G_{k,n}\), and a description of hypergeometric functions on strata of small codimensions. (English. Russian original) Zbl 0769.33013 Sov. Math., Dokl. 43, No. 3, 757-761 (1991); translation from Dokl. Akad. Nauk SSSR 318, No. 4, 793-797 (1991). Reviewer: A.Kaneko (Komaba) MSC: 33C70 33C20 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. Hypergeometric functions, toric varieties and Newton polyhedra. (English) Zbl 0785.33008 Special functions, Proc. Hayashibara Forum, Okayama/Jap. 1990, ICM-90 Satell. Conf. Proc., 104-121 (1991). Reviewer: G.Zet (Iaşi) MSC: 33C70 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Retakh, V. S. Determinants of matrices over noncommutative rings. (English. Russian original) Zbl 0748.15005 Funct. Anal. Appl. 25, No. 2, 91-102 (1991); translation from Funkts. Anal. Prilozh. 25, No. 2, 13-25 (1991). Reviewer: A.R.Kräuter (Leoben) MSC: 15A15 15B33 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. Generalized Euler integrals and \(A\)-hypergeometric functions. (English) Zbl 0741.33011 Adv. Math. 84, No. 2, 255-271 (1990). Reviewer: A.V.Rosenblyum (Grodno) MSC: 33C70 × Cite Format Result Cite Review PDF Full Text: DOI
Gel’fand, I. M.; Graev, M. I.; Piatetski-Shapiro, Ilya I. Representation theory and automorphic functions. Transl. from the Russian by K. A. Hirsch. Reprint. (English) Zbl 0718.11022 Boston, MA etc.: Academic Press, Inc. xviii, 426 p. $ 39.50 (1990). Reviewer: Audrey A. Terras (La Jolla) MSC: 11F70 11-02 11F72 22-02 22E47 22E50 22E55 11F66 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. Discriminants of polynomials in several variables. (English. Russian original) Zbl 0719.15003 Funct. Anal. Appl. 24, No. 1, 1-4 (1990); translation from Funkts. Anal. Prilozh. 24, No. 1, 1-4 (1990). Reviewer: K.Heuvers (Houghton) MSC: 15A15 15A54 12E05 14M20 52A20 × Cite Format Result Cite Review PDF Full Text: DOI
Gel’fand, I. M.; Rybnikov, G. L. Algebraic and topological invariants of oriented matroids. (English. Russian original) Zbl 0717.33009 Sov. Math., Dokl. 40, No. 1, 148-152 (1990); translation from Dokl. Akad. Nauk SSSR 307, No. 4, 791-795 (1989). Reviewer: A.Klimyk MSC: 33C80 05B35 32S99 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S. \(\Gamma\)-series and general hypergeometric functions on manifolds of k\(\times n\) matrices. (Russian. English summary) Zbl 0717.33008 Prepr., Inst. Prikl. Mat. Im. M. V. Keldysha Akad. Nauk SSSR, Mosk. 64, 27 p. (1990). Reviewer: A.V.Rozenblyum MSC: 33C70 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. A-discriminants and Cayley-Koszul complexes. (English. Russian original) Zbl 0716.13016 Sov. Math., Dokl. 40, No. 1, 239-243 (1990); translation from Dokl. Akad. Nauk SSSR 307, No. 6, 1307-1311 (1989). Reviewer: V.F.Ignatenko MSC: 13F25 33C80 06B99 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Graev, M. I. Hypergeometric functions associated with the Grassmannian \(G_{3,6}\). (English. Russian original) Zbl 0692.33005 Math. USSR, Sb. 66, No. 1, 1-40 (1990); translation from Mat. Sb. 180, No. 1, 3-38 (1989). MSC: 33C60 33C05 53C25 × Cite Format Result Cite Review PDF Full Text: DOI
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. Newton polyhedra of principal \(A\)-determinants. (English. Russian original) Zbl 0742.14042 Sov. Math., Dokl. 40, No. 2, 278-281 (1990); translation from Dokl. Akad. Nauk SSSR 308, No. 1, 20-23 (1989). Reviewer: A.Papantonopoulou (Ewing Township) MSC: 14M25 14M12 × Cite Format Result Cite Review PDF
Gelfand, Izrail M. Gindikin, S. G. (ed.); Guillemin, V. W. (ed.); Kirillov, A. A. (ed.); Kostant, B. (ed.); Sternberg, S. (ed.) Collected papers. Volume III. Edited by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant and S. Sternberg. (English) Zbl 0662.01018 Berlin etc.: Springer-Verlag. x, 1075 p. DM 248.00 (1989). Reviewer: Heinrich Guggenheimer (West Hempstead) MSC: 01A75 52-03 22-03 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) (English. Russian original) Zbl 0721.33006 Funct. Anal. Appl. 23, No. 2, 94-106 (1989); translation from Funkts. Anal. Prilozh. 23, No. 2, 12-26 (1989); correction Funct. Anal. Appl. 27, No. 4, 295 (1993); translation from Funkts. Anal. Prilozh. 27, No. 4, 91 (1993). Reviewer: V.Müller MSC: 33C70 34A25 14Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Gel’fand, I. M.; Zakharevich, I. S. Spectral theory of a pencil of skew-symmetric differential operators of third order on \(S^ 1\). (English. Russian original) Zbl 0711.34099 Funct. Anal. Appl. 23, No. 2, 85-93 (1989); translation from Funkts. Anal. Prilozh. 23, No. 2, 1-11 (1989). Reviewer: V.Müller MSC: 34L05 47E05 × Cite Format Result Cite Review PDF Full Text: DOI
Gel’fand, I. M.; Zelevinskij, A. V.; Serganova, V. V. General hypergeometric functions associated with a pair of homogeneous spaces. (English. Russian original) Zbl 0704.33012 Sov. Math., Dokl. 39, No. 1, 182-187 (1989); translation from Dokl. Akad. Nauk SSSR 304, No. 5, 1044-1049 (1989). Reviewer: A.V.Rosenblyum MSC: 33C80 22E30 43A85 58J15 × Cite Format Result Cite Review PDF
Shields, Allen [Gel’fand, Israil’ Moiseevich] Banach algebras, 1939–1989. (English) Zbl 0681.01008 Math. Intell. 11, No. 3, 15-17 (1989). Reviewer: P.Reichensperger MSC: 01A60 46-03 × Cite Format Result Cite Review PDF Full Text: DOI
Gel’fand, I. M.; Graev, M. I. Hypergeometric functions associated with the Grassmannian \(G_{3,6}\). (Russian) Zbl 0667.33008 Mat. Sb. 180, No. 1, 3-38 (1989). Reviewer: A.Klimyk MSC: 33C60 33C05 53C25 × Cite Format Result Cite Review PDF Full Text: EuDML
Gel’fand, I. M.; Retakh, V. S.; Serganova, V. V. Generalized Airy functions, Schubert cells, and Jordan groups. (English. Russian original) Zbl 0699.33012 Sov. Math., Dokl. 37, No. 1, 8-12 (1988); translation from Dokl. Akad. Nauk SSSR 298, No. 1, 17-21 (1988). Reviewer: A.V.Rozenblyum MSC: 33C80 × Cite Format Result Cite Review PDF
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. Equations of hypergeometric type and Newton polyhedra. (English. Russian original) Zbl 0667.33010 Sov. Math., Dokl. 37, No. 3, 678-682 (1988); translation from Dokl. Akad. Nauk SSSR 300, No. 3, 529-534 (1988). Reviewer: A.Klimyk MSC: 33C80 33C05 32M15 53C35 35L25 58J99 32S60 × Cite Format Result Cite Review PDF
Alekseevskaya, T. V.; Gel’fand, I. M.; Zelevinskij, A. V. An arrangement of real hyperplanes and the partition function connected with it. (English. Russian original) Zbl 0662.51010 Sov. Math., Dokl. 36, No. 3, 589-593 (1988); translation from Dokl. Akad. Nauk SSSR 297, 1289-1293 (1987). Reviewer: P.Burda MSC: 51M20 05B20 22E99 × Cite Format Result Cite Review PDF
Gelfand, Izrail M. Gindikin, S. G. (ed.); Guillemin, V. W. (ed.); Kirillov, A. A. (ed.); Kostant, B. (ed.); Sternberg, S. (ed.) [Kirillov, A. A.; Segal, G.; Ringel, C. M.] Collected papers. Volume II. Ed. by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant, S. Sternberg. (English) Zbl 0655.22012 Berlin etc.: Springer-Verlag. x, 1039 S. (1988). Reviewer: Eiichi Abe (Ibaraki) MSC: 22-03 01A75 20-03 17-03 22E47 20G05 × Cite Format Result Cite Review PDF
Varchenko, A. N.; Gel’fand, I. M. Heaviside functions of a configuration of hyperplanes. (English. Russian original) Zbl 0664.14030 Funct. Anal. Appl. 21, No. 4, 255-270 (1987); translation from Funkts. Anal. Prilozh. 21, No. 4, 1-18 (1987). MSC: 14N99 05B30 × Cite Format Result Cite Review PDF Full Text: DOI
Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V. Holonomic systems of equations and series of hypergeometric type. (English. Russian original) Zbl 0661.22005 Sov. Math., Dokl. 36, No. 1, 5-10 (1987); translation from Dokl. Akad. Nauk SSSR 295, 14-19 (1987). Reviewer: W.Miller, jun MSC: 22E30 33C60 58J15 43A85 33C80 35F05 32C38 × Cite Format Result Cite Review PDF
Gel’fand, Izrail M. Collected papers. Volume I. Ed. by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant, S. Sternberg. (English) Zbl 0654.46004 Berlin etc.: Springer-Verlag. VI, 883 p.; DM 248.00 (1987). Reviewer: B.Sz.-Nagy MSC: 46-03 47-03 35-03 46H05 01A60 × Cite Format Result Cite Review PDF
Varchenko, A. N.; Gel’fand, I. M. On Heaviside functions of a hyperplane configuration. (Russian) Zbl 0647.32013 Funkts. Anal. Prilozh. 21, No. 4, 1-18 (1987). Reviewer: S.I.Gel’fand MSC: 32C25 × Cite Format Result Cite Review PDF