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Graev Mark Iosifovich

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Total publications: 79
Scientific articles: 77

Number of views:
This page:1804
Abstract pages:22247
Full texts:9686
References:1257

http://www.mathnet.ru/eng/person8939
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:graev.mark-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/189131

Publications in Math-Net.Ru
1. Nonunitary representations of the groups of $U(p,q)$-currents for $q\geq p>1$
A. M. Vershik, M. I. Graev
Zap. Nauchn. Sem. POMI, 462 (2017),  5–38
2. Special representations of Iwasawa subgroups of simple Lie groups
A. M. Vershik, M. I. Graev
Zap. Nauchn. Sem. POMI, 448 (2016),  96–106
3. Cohomology of the Iwasawa subgroup of the group $U(p,p)$ in nonunitary representations
A. M. Vershik, M. I. Graev
Zap. Nauchn. Sem. POMI, 436 (2015),  112–121
4. Cohomology in Nonunitary Representations of Semisimple Lie Groups (the Group $U(2,2)$)
A. M. Vershik, M. I. Graev
Funktsional. Anal. i Prilozhen., 48:3 (2014),  1–13
5. Special representations of nilpotent Lie groups and the associated Poisson representations of current groups
A. M. Vershik, M. I. Graev
Mosc. Math. J., 13:2 (2013),  345–360
6. Special Representations of the Groups $U(\infty,1)$ and $O(\infty,1)$ and the Associated Representations of the Current Groups $U(\infty,1)^X$ and $O(\infty,1)^X$ in Quasi-Poisson Spaces
A. M. Vershik, M. I. Graev
Funktsional. Anal. i Prilozhen., 46:1 (2012),  1–12
7. Poisson model of the Fock space and representations of current groups
A. M. Vershik, M. I. Graev
Algebra i Analiz, 23:3 (2011),  63–136
8. Integral models of representations of the current groups of simple Lie groups
A. M. Vershik, M. I. Graev
Uspekhi Mat. Nauk, 64:2(386) (2009),  5–72
9. Integral Models of Unitary Representations of Current Groups with Values in Semidirect Products
A. M. Vershik, M. I. Graev
Funktsional. Anal. i Prilozhen., 42:4 (2008),  37–49
10. Integral Models of Representations of Current Groups
A. M. Vershik, M. I. Graev
Funktsional. Anal. i Prilozhen., 42:1 (2008),  22–32
11. Structure of the complementary series and special representations of the groups $O(n,1)$ and $U(n,1)$
A. M. Vershik, M. I. Graev
Uspekhi Mat. Nauk, 61:5(371) (2006),  3–88
12. A Commutative Model of a Representation of the Group $O(n,1)^X$ and a Generalized Lebesgue Measure in the Space of Distributions
A. M. Vershik, M. I. Graev
Funktsional. Anal. i Prilozhen., 39:2 (2005),  1–12
13. Hypergeometric functions over an arbitrary field
I. M. Gel'fand, M. I. Graev, V. S. Retakh
Uspekhi Mat. Nauk, 59:5(359) (2004),  29–100
14. Relatively Closed Operators Associated to a Pair of Grassmannians
M. I. Graev
Mat. Zametki, 71:1 (2002),  61–74
15. $\mathscr N$-functions and their relationship with solutions of general hypergeometric systems and $GG$-systems
I. M. Gel'fand, M. I. Graev
Uspekhi Mat. Nauk, 56:4(340) (2001),  3–34
16. A Problem of Integral Geometry Related to a Triple of Grassmann Manifolds
M. I. Graev
Funktsional. Anal. i Prilozhen., 34:4 (2000),  78–81
17. Difference Analogs and $(r,s)$-Analogs of $GG$-Functions
M. I. Graev
Funktsional. Anal. i Prilozhen., 32:1 (1998),  59–62
18. General gamma functions, exponentials, and hypergeometric functions
I. M. Gel'fand, M. I. Graev, V. S. Retakh
Uspekhi Mat. Nauk, 53:1(319) (1998),  3–60
19. $GG$-functions and their relation to general hypergeometric functions
I. M. Gel'fand, M. I. Graev
Uspekhi Mat. Nauk, 52:4(316) (1997),  3–48
20. Integral Geometry on the Space $L^n$, where $L$ is a Matrix Ring
M. I. Graev
Funktsional. Anal. i Prilozhen., 30:4 (1996),  71–74
21. Constructing Hyper-Kähler Manifolds by the Method of S. G. Gindikin
M. I. Graev
Funktsional. Anal. i Prilozhen., 29:3 (1995),  65–69
22. Equations and Series of Hypergeometric Type
M. I. Graev
Funktsional. Anal. i Prilozhen., 29:1 (1995),  72–76
23. Projective Representations of the Current Group $\operatorname{SU}(1,1)^X$
I. M. Gel'fand, M. I. Graev
Funktsional. Anal. i Prilozhen., 27:4 (1993),  65–68
24. General hypergeometric functions
M. I. Graev
Funktsional. Anal. i Prilozhen., 26:2 (1992),  69–72
25. General hypergeometric systems of equations and series of hypergeometric type
I. M. Gel'fand, M. I. Graev, V. S. Retakh
Uspekhi Mat. Nauk, 47:4(286) (1992),  3–82
26. Crofton's function and inversion formulas in real integral geometry
I. M. Gel'fand, M. I. Graev
Funktsional. Anal. i Prilozhen., 25:1 (1991),  1–6
27. Hypergeometric functions associated with the Grassmannian $G_{3,6}$
I. M. Gel'fand, M. I. Graev
Mat. Sb., 180:1 (1989),  3–38
28. A commutative model of representation of the group of flows $SL(2,\mathbb{R})^X$ that is connected with a unipotent subgroup
A. M. Vershik, I. M. Gel'fand, M. I. Graev
Funktsional. Anal. i Prilozhen., 17:2 (1983),  70–72
29. Nonlocal inversion formulas in a problem of integral geometry related to $p$-dimensional planes in real projective space
I. M. Gel'fand, M. I. Graev, R. Roshu
Funktsional. Anal. i Prilozhen., 16:3 (1982),  49–51
30. Admissible $n$-dimensional complexes of curves in $\mathbb{R}^n$
I. M. Gel'fand, M. I. Graev
Funktsional. Anal. i Prilozhen., 14:4 (1980),  36–44
31. Integral geometry in affine and projective spaces
I. M. Gel'fand, S. G. Gindikin, M. I. Graev
Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 16 (1980),  53–226
32. A problem of integral geometry in $\mathbb{RP}^n$, connected with the integration of differential forms
I. M. Gel'fand, S. G. Gindikin, M. I. Graev
Funktsional. Anal. i Prilozhen., 13:4 (1979),  64–66
33. Square roots of the quasi-regular representation of the group $SL(2,K)$
I. M. Gel'fand, M. I. Graev
Funktsional. Anal. i Prilozhen., 9:2 (1975),  64–66
34. Representations of the group of diffeomorphisms
A. M. Vershik, I. M. Gel'fand, M. I. Graev
Uspekhi Mat. Nauk, 30:6(186) (1975),  3–50
35. Irreducible representations of the group $G^X$ and cohomologifs
A. M. Vershik, I. M. Gel'fand, M. I. Graev
Funktsional. Anal. i Prilozhen., 8:2 (1974),  67–69
36. Representations of the group $SL(2,\mathbf R)$, where $\mathbf R$ is a ring of functions
A. M. Vershik, I. M. Gel'fand, M. I. Graev
Uspekhi Mat. Nauk, 28:5(173) (1973),  83–128
37. The Radon transformation in the space $\mathbf{P}^n(A)$ where $A$ is a finite commutative ring with identity
M. I. Graev, N. V. Pavlenko
Dokl. Akad. Nauk SSSR, 207:2 (1972),  270–273
38. Homogeneous generalized functions in a vector space over a local non-Archimedean field which are related to a quadratic form
M. I. Graev, R. I. Prokhorova
Funktsional. Anal. i Prilozhen., 6:3 (1972),  70–71
39. A classification of the linear representations of the group $SL(2,\mathrm{C})$
I. M. Gel'fand, M. I. Graev, V. A. Ponomarev
Dokl. Akad. Nauk SSSR, 194:5 (1970),  1002–1005
40. An integral geometry problem connected with a pair of Grassmann manifolds
I. M. Gel'fand, M. I. Graev, Z. Ya. Shapiro
Dokl. Akad. Nauk SSSR, 193:2 (1970),  259–262
41. Integral geometry in projective space
I. M. Gel'fand, M. I. Graev, Z. Ya. Shapiro
Funktsional. Anal. i Prilozhen., 4:1 (1970),  14–32
42. Differential forms and integral geometry
I. M. Gel'fand, M. I. Graev, Z. Ya. Shapiro
Funktsional. Anal. i Prilozhen., 3:2 (1969),  24–40
43. Complexes of $k$-dimensional planes in the space $C^n$ and Plancherel's formula for the group $GL(n,C)$
I. M. Gel'fand, M. I. Graev
Dokl. Akad. Nauk SSSR, 179:3 (1968),  522–525
44. Complexes of straight lines in the space $\mathbb{C}^n$
I. M. Gel'fand, M. I. Graev
Funktsional. Anal. i Prilozhen., 2:3 (1968),  39–52
45. Representations of quaternion groups over locally compact and functional fields
I. M. Gel'fand, M. I. Graev
Funktsional. Anal. i Prilozhen., 2:1 (1968),  20–35
46. Representations of the group of quaternions over a disconnected locally compact continuous field
I. M. Gel'fand, M. I. Graev
Dokl. Akad. Nauk SSSR, 177:1 (1967),  17–20
47. Integral geometry on $k$-dimensional planes
I. M. Gel'fand, M. I. Graev, Z. Ya. Shapiro
Funktsional. Anal. i Prilozhen., 1:1 (1967),  15–31
48. Integral geometry on manifolds of $k$-dimensional planes
I. M. Gel'fand, M. I. Graev, Z. Ya. Shapiro
Dokl. Akad. Nauk SSSR, 168:6 (1966),  1236–1238
49. Finite-dimensional irreducible representations of the unitary and complete linear group and special functions associated with them
I. M. Gel'fand, M. I. Graev
Izv. Akad. Nauk SSSR Ser. Mat., 29:6 (1965),  1329–1356
50. On the calculation of integrals with respect to classes of conjugate elements in a group of complex matrices
M. I. Graev
Tr. Mosk. Mat. Obs., 14 (1965),  279–298
51. Representations of adèle groups
I. M. Gel'fand, M. I. Graev, I. I. Pyatetskii-Shapiro
Dokl. Akad. Nauk SSSR, 156:3 (1964),  487–490
52. The structure of the ring of finite functions on the group of second-order unimodular matrices with elements belonging to a disconnected locally compact field
I. M. Gel'fand, M. I. Graev
Dokl. Akad. Nauk SSSR, 153:3 (1963),  512–515
53. The Plancherel formula for the group of unimodular matrices of second order with elements in a locally compact field
I. M. Gel'fand, M. I. Graev
Dokl. Akad. Nauk SSSR, 151:2 (1963),  262–264
54. Irreducible unitary representations of the group of second-order unimodular matrices with elements in a locally compact field
I. M. Gel'fand, M. I. Graev
Dokl. Akad. Nauk SSSR, 149:3 (1963),  499–501
55. The structure of a magnetic toroidal field having no magnetic surfaces
I. M. Gel'fand, M. I. Graev, N. M. Zueva, M. S. Mikhailova, A. I. Morosov
Dokl. Akad. Nauk SSSR, 148:6 (1963),  1286–1289
56. Representations of a group of matrices of the second order with elements from a locally compact field, and special functions on locally compact fields
I. M. Gel'fand, M. I. Graev
Uspekhi Mat. Nauk, 18:4(112) (1963),  29–99
57. Construction of irreducible representations of simple algebraic groups over a finite field
I. M. Gel'fand, M. I. Graev
Dokl. Akad. Nauk SSSR, 147:3 (1962),  529–532
58. Categories of group representations and the classification problem of irreducible representations
I. M. Gel'fand, M. I. Graev
Dokl. Akad. Nauk SSSR, 146:4 (1962),  757–760
59. An application of the horisphere method to the spectral analysis of functions in real and imaginary Lobatchevsky spaces
I. M. Gel'fand, M. I. Graev
Tr. Mosk. Mat. Obs., 11 (1962),  243–308
60. Integral transformations connected with line complexes in a complex affine space
I. M. Gel'fand, M. I. Graev
Dokl. Akad. Nauk SSSR, 138:6 (1961),  1266–1269
61. Generalized functions of several complex variables
I. M. Gel'fand, M. I. Graev
Uspekhi Mat. Nauk, 16:3(99) (1961),  214–216
62. Integrals over hyperplanes of basic and generalized functions
I. M. Gel'fand, M. I. Graev
Dokl. Akad. Nauk SSSR, 135:6 (1960),  1307–1310
63. Fourier transforms of rapidly decreasing functions on complex semisimple groups
I. M. Gel'fand, M. I. Graev
Dokl. Akad. Nauk SSSR, 131:3 (1960),  496–499
64. Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry. I
I. M. Gel'fand, M. I. Graev
Tr. Mosk. Mat. Obs., 8 (1959),  321–390
65. Unitary representations of real simple Lie groups
M. I. Graev
Tr. Mosk. Mat. Obs., 7 (1958),  335–389
66. Irreducible unitary representations of the group of third order matrices conserving an indefinite Hermite form
M. I. Graev
Dokl. Akad. Nauk SSSR, 113:5 (1957),  966–969
67. Unitary representations of real simple Lie groups
M. I. Graev
Uspekhi Mat. Nauk, 12:1(73) (1957),  179–182
68. Representation of groups
F. A. Berezin, I. M. Gel'fand, M. I. Graev, M. A. Naimark
Uspekhi Mat. Nauk, 11:6(72) (1956),  13–40
69. Analogue of the Plancherel formula for the classical groups
I. Gelfand, M. I. Graev
Tr. Mosk. Mat. Obs., 4 (1955),  375–404
70. Unitary representations of the real unimodular group (principal nondegenerate series)
I. M. Gel'fand, M. I. Graev
Izv. Akad. Nauk SSSR Ser. Mat., 17:3 (1953),  189–248
71. On free products of topological groups
M. I. Graev
Izv. Akad. Nauk SSSR Ser. Mat., 14:4 (1950),  343–354
72. Theory of topological groups. I. Norms and metrics on groups. Complete groups. Free topological groups
M. I. Graev
Uspekhi Mat. Nauk, 5:2(36) (1950),  3–56
73. Free topological groups
M. I. Graev
Izv. Akad. Nauk SSSR Ser. Mat., 12:3 (1948),  279–324
74. Isomorphisms of direct decompositions in Dedekind structures
M. Grayev
Izv. Akad. Nauk SSSR Ser. Mat., 11:1 (1947),  33–46
75. Structural isomorphisms of topological abelian groups
M. Grayev
Rec. Math. [Mat. Sbornik] N.S., 20(62):1 (1947),  125–144
76. Direct sums of cycles in the Dedekind structures
M. Grayev
Rec. Math. [Mat. Sbornik] N.S., 19(61):3 (1946),  439–450
77. On the theory of complete direct products of groups
M. Grayev
Rec. Math. [Mat. Sbornik] N.S., 17(59):1 (1945),  85–104

78. Mark Aronovich Naimark (obituary)
I. M. Gel'fand, M. I. Graev, D. P. Zhelobenko, R. S. Ismagilov, M. G. Krein, L. D. Kudryavtsev, S. M. Nikol'skii, A. Ya. Helemskii, A. V. Strauss
Uspekhi Mat. Nauk, 35:4(214) (1980),  135–140
79. Correction to the article “Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry. I” (Trudy Mosk. Mat. Ob-va 8 (1959))
I. M. Gel'fand, M. I. Graev
Tr. Mosk. Mat. Obs., 9 (1960),  562

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