Graev Mark Iosifovich

Publications in Math-Net.Ru

1. Nonunitary representations of the groups of $U(p,q)$-currents for $q\geq p>1$
   
   Zap. Nauchn. Sem. POMI, 462 (2017),  5–38
2. Special representations of Iwasawa subgroups of simple Lie groups
   
   Zap. Nauchn. Sem. POMI, 448 (2016),  96–106
3. Cohomology of the Iwasawa subgroup of the group $U(p,p)$ in nonunitary representations
   
   Zap. Nauchn. Sem. POMI, 436 (2015),  112–121
4. Cohomology in Nonunitary Representations of Semisimple Lie Groups (the Group $U(2,2)$)
   
   Funktsional. Anal. i Prilozhen., 48:3 (2014),  1–13
5. Special representations of nilpotent Lie groups and the associated Poisson representations of current groups
   
   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
   
   Funktsional. Anal. i Prilozhen., 46:1 (2012),  1–12
7. Poisson model of the Fock space and representations of current groups
   
   Algebra i Analiz, 23:3 (2011),  63–136
8. Integral models of representations of the current groups of simple Lie groups
   
   Uspekhi Mat. Nauk, 64:2(386) (2009),  5–72
9. Integral Models of Unitary Representations of Current Groups with Values in Semidirect Products
   
   Funktsional. Anal. i Prilozhen., 42:4 (2008),  37–49
10. Integral Models of Representations of Current Groups
    
    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 $U(n,1)$
    
    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
    
    Funktsional. Anal. i Prilozhen., 39:2 (2005),  1–12
13. Hypergeometric functions over an arbitrary field
    
    Uspekhi Mat. Nauk, 59:5(359) (2004),  29–100
14. Relatively Closed Operators Associated to a Pair of Grassmannians
    
    Mat. Zametki, 71:1 (2002),  61–74
15. $\mathscr N$-functions and their relationship with solutions of general hypergeometric systems and $GG$-systems
    
    Uspekhi Mat. Nauk, 56:4(340) (2001),  3–34
16. A Problem of Integral Geometry Related to a Triple of Grassmann Manifolds
    
    Funktsional. Anal. i Prilozhen., 34:4 (2000),  78–81
17. Difference Analogs and $(r,s)$-Analogs of $GG$-Functions
    
    Funktsional. Anal. i Prilozhen., 32:1 (1998),  59–62
18. General gamma functions, exponentials, and hypergeometric functions
    
    Uspekhi Mat. Nauk, 53:1(319) (1998),  3–60
19. $GG$-functions of several variables and their connection with general hypergeometric functions
    
    Dokl. Akad. Nauk, 354:5 (1997),  583–586
20. $GG$-functions of one variable
    
    Dokl. Akad. Nauk, 354:2 (1997),  155–158
21. A problem of integral geometry on $K^3$ connected with harmonic analysis on the group $SL(2,K)$, where $K$ is an arbitrary continuous locally compact field
    
    Dokl. Akad. Nauk, 352:1 (1997),  15–17
22. $GG$-functions and their relation to general hypergeometric functions
    
    Uspekhi Mat. Nauk, 52:4(316) (1997),  3–48
23. Hypergeometric functions and the Newton polytope associated with the action of the torus $(\mathbf{C}^*)$ on $\bigwedge^k\mathbf{C}^n$
    
    Dokl. Akad. Nauk, 348:2 (1996),  155–158
24. Hypergeometric functions on a space of $p$-dimensional matrices
    
    Dokl. Akad. Nauk, 346:1 (1996),  7–10
25. Integral Geometry on the Space $L^n$, where $L$ is a Matrix Ring
    
    Funktsional. Anal. i Prilozhen., 30:4 (1996),  71–74
26. Constructing Hyper-Kähler Manifolds by the Method of S. G. Gindikin
    
    Funktsional. Anal. i Prilozhen., 29:3 (1995),  65–69
27. Equations and Series of Hypergeometric Type
    
    Funktsional. Anal. i Prilozhen., 29:1 (1995),  72–76
28. Projective nonunitary representations of current groups
    
    Dokl. Akad. Nauk, 338:3 (1994),  298–301
29. Hypergeometric functions on flag spaces
    
    Dokl. Akad. Nauk, 338:2 (1994),  154–157
30. $(r,s)$-exponentials
    
    Dokl. Akad. Nauk, 336:6 (1994),  730–732
31. $(R,S)$-hypergeometric functions of one variable
    
    Dokl. Akad. Nauk, 333:5 (1993),  567–570
32. Special representations of the group $SU(n,1)$ and projective unitary representations of the current group $SU(n,1)^X$
    
    Dokl. Akad. Nauk, 332:3 (1993),  280–282
33. The $q$-hypergeometric Gauss equation and the description of its solutions in the form of series and integrals
    
    Dokl. Akad. Nauk, 331:2 (1993),  140–143
34. $GG$-functions
    
    Dokl. Akad. Nauk, 328:6 (1993),  645–648
35. Projective Representations of the Current Group $\operatorname{SU}(1,1)^X$
    
    Funktsional. Anal. i Prilozhen., 27:4 (1993),  65–68
36. Difference analogues and $q$-analogues of general hypergeometric systems of differential equations
    
    Dokl. Akad. Nauk, 325:2 (1992),  215–220
37. Generalized hypergeometric functions connected with an arbitrary finite or a locally compact continuous field
    
    Dokl. Akad. Nauk, 323:3 (1992),  394–397
38. General hypergeometric functions
    
    Funktsional. Anal. i Prilozhen., 26:2 (1992),  69–72
39. General hypergeometric systems of equations and series of hypergeometric type
    
    Uspekhi Mat. Nauk, 47:4(286) (1992),  3–82
40. Hypergeometric functions on the $k$th exterior power of the space $\mathbf{C}^n$ and the Grassmannian $G_{k,n}$ and the connection between them
    
    Dokl. Akad. Nauk SSSR, 320:1 (1991),  20–24
41. Reduction formulas for hypergeometric functions on the Grassmannian $G_{k,n}$ and the description of hypergeometric functions on strata of small codimensions
    
    Dokl. Akad. Nauk SSSR, 318:4 (1991),  793–797
42. Crofton's function and inversion formulas in real integral geometry
    
    Funktsional. Anal. i Prilozhen., 25:1 (1991),  1–6
43. Hypergeometric functions associated with the Grassmannian $G_{3,6}$
    
    Mat. Sb., 180:1 (1989),  3–38
44. Holonomic systems of equations and series of hypergeometric type
    
    Dokl. Akad. Nauk SSSR, 295:1 (1987),  14–19
45. Hypergeometric functions connected with the Grassmannian $G_{3{,}6}$
    
    Dokl. Akad. Nauk SSSR, 293:2 (1987),  288–293
46. A duality theorem for general hypergeometric functions
    
    Dokl. Akad. Nauk SSSR, 289:1 (1986),  19–23
47. Plancherel's theorem for an integral transformation associated with a complex of $p$-dimensional planes in $\mathrm{CP}^n$
    
    Dokl. Akad. Nauk SSSR, 268:2 (1983),  265–268
48. A commutative model of representation of the group of flows $SL(2,\mathbb{R})^X$ that is connected with a unipotent subgroup
    
    Funktsional. Anal. i Prilozhen., 17:2 (1983),  70–72
49. Nonlocal inversion formulas in a problem of integral geometry related to $p$-dimensional planes in real projective space
    
    Funktsional. Anal. i Prilozhen., 16:3 (1982),  49–51
50. Admissible $n$-dimensional complexes of curves in $\mathbb{R}^n$
    
    Funktsional. Anal. i Prilozhen., 14:4 (1980),  36–44
51. Integral geometry in affine and projective spaces
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 16 (1980),  53–226
52. A problem of integral geometry in $\mathbb{RP}^n$, connected with the integration of differential forms
    
    Funktsional. Anal. i Prilozhen., 13:4 (1979),  64–66
53. Representations of the group of smooth mappings from a manifold $X$ into a compact Lie group
    
    Dokl. Akad. Nauk SSSR, 232:4 (1977),  745–748
54. Square roots of the quasi-regular representation of the group $SL(2,K)$
    
    Funktsional. Anal. i Prilozhen., 9:2 (1975),  64–66
55. Representations of the group of diffeomorphisms
    
    Uspekhi Mat. Nauk, 30:6(186) (1975),  3–50
56. Irreducible representations of the group $G^X$ and cohomologifs
    
    Funktsional. Anal. i Prilozhen., 8:2 (1974),  67–69
57. Representations of the group $SL(2,\mathbf R)$, where $\mathbf R$ is a ring of functions
    
    Uspekhi Mat. Nauk, 28:5(173) (1973),  83–128
58. The Radon transformation in the space $\mathbf{P}^n(A)$ where $A$ is a finite commutative ring with identity
    
    Dokl. Akad. Nauk SSSR, 207:2 (1972),  270–273
59. Homogeneous generalized functions in a vector space over a local non-Archimedean field which are related to a quadratic form
    
    Funktsional. Anal. i Prilozhen., 6:3 (1972),  70–71
60. A classification of the linear representations of the group $SL(2,\mathrm{C})$
    
    Dokl. Akad. Nauk SSSR, 194:5 (1970),  1002–1005
61. An integral geometry problem connected with a pair of Grassmann manifolds
    
    Dokl. Akad. Nauk SSSR, 193:2 (1970),  259–262
62. Integral geometry in projective space
    
    Funktsional. Anal. i Prilozhen., 4:1 (1970),  14–32
63. Differential forms and integral geometry
    
    Funktsional. Anal. i Prilozhen., 3:2 (1969),  24–40
64. Complexes of $k$-dimensional planes in the space $C^n$ and Plancherel's formula for the group $GL(n,C)$
    
    Dokl. Akad. Nauk SSSR, 179:3 (1968),  522–525
65. Complexes of straight lines in the space $\mathbb{C}^n$
    
    Funktsional. Anal. i Prilozhen., 2:3 (1968),  39–52
66. Representations of quaternion groups over locally compact and functional fields
    
    Funktsional. Anal. i Prilozhen., 2:1 (1968),  20–35
67. Representations of the group of quaternions over a disconnected locally compact continuous field
    
    Dokl. Akad. Nauk SSSR, 177:1 (1967),  17–20
68. Integral geometry on $k$-dimensional planes
    
    Funktsional. Anal. i Prilozhen., 1:1 (1967),  15–31
69. Integral geometry on manifolds of $k$-dimensional planes
    
    Dokl. Akad. Nauk SSSR, 168:6 (1966),  1236–1238
70. Finite-dimensional irreducible representations of the unitary and complete linear group and special functions associated with them
    
    Izv. Akad. Nauk SSSR Ser. Mat., 29:6 (1965),  1329–1356
71. On the calculation of integrals with respect to classes of conjugate elements in a group of complex matrices
    
    Tr. Mosk. Mat. Obs., 14 (1965),  279–298
72. Representations of adèle groups
    
    Dokl. Akad. Nauk SSSR, 156:3 (1964),  487–490
73. 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
    
    Dokl. Akad. Nauk SSSR, 153:3 (1963),  512–515
74. The Plancherel formula for the group of unimodular matrices of second order with elements in a locally compact field
    
    Dokl. Akad. Nauk SSSR, 151:2 (1963),  262–264
75. Irreducible unitary representations of the group of second-order unimodular matrices with elements in a locally compact field
    
    Dokl. Akad. Nauk SSSR, 149:3 (1963),  499–501
76. The structure of a magnetic toroidal field having no magnetic surfaces
    
    Dokl. Akad. Nauk SSSR, 148:6 (1963),  1286–1289
77. Representations of a group of matrices of the second order with elements from a locally compact field, and special functions on locally compact fields
    
    Uspekhi Mat. Nauk, 18:4(112) (1963),  29–99
78. Construction of irreducible representations of simple algebraic groups over a finite field
    
    Dokl. Akad. Nauk SSSR, 147:3 (1962),  529–532
79. Categories of group representations and the classification problem of irreducible representations
    
    Dokl. Akad. Nauk SSSR, 146:4 (1962),  757–760
80. An application of the horisphere method to the spectral analysis of functions in real and imaginary Lobatchevsky spaces
    
    Tr. Mosk. Mat. Obs., 11 (1962),  243–308
81. Integral transformations connected with line complexes in a complex affine space
    
    Dokl. Akad. Nauk SSSR, 138:6 (1961),  1266–1269
82. Generalized functions of several complex variables
    
    Uspekhi Mat. Nauk, 16:3(99) (1961),  214–216
83. Integrals over hyperplanes of basic and generalized functions
    
    Dokl. Akad. Nauk SSSR, 135:6 (1960),  1307–1310
84. Fourier transforms of rapidly decreasing functions on complex semisimple groups
    
    Dokl. Akad. Nauk SSSR, 131:3 (1960),  496–499
85. Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry. I
    
    Tr. Mosk. Mat. Obs., 8 (1959),  321–390
86. Unitary representations of real simple Lie groups
    
    Tr. Mosk. Mat. Obs., 7 (1958),  335–389
87. Irreducible unitary representations of the group of third order matrices conserving an indefinite Hermite form
    
    Dokl. Akad. Nauk SSSR, 113:5 (1957),  966–969
88. Unitary representations of real simple Lie groups
    
    Uspekhi Mat. Nauk, 12:1(73) (1957),  179–182
89. Representation of groups
    
    Uspekhi Mat. Nauk, 11:6(72) (1956),  13–40
90. Analogue of the Plancherel formula for the classical groups
    
    Tr. Mosk. Mat. Obs., 4 (1955),  375–404
91. Unitary representations of the real unimodular group (principal nondegenerate series)
    
    Izv. Akad. Nauk SSSR Ser. Mat., 17:3 (1953),  189–248
92. On free products of topological groups
    
    Izv. Akad. Nauk SSSR Ser. Mat., 14:4 (1950),  343–354
93. Theory of topological groups. I. Norms and metrics on groups. Complete groups. Free topological groups
    
    Uspekhi Mat. Nauk, 5:2(36) (1950),  3–56
94. Free topological groups
    
    Izv. Akad. Nauk SSSR Ser. Mat., 12:3 (1948),  279–324
95. Isomorphisms of direct decompositions in Dedekind structures
    
    Izv. Akad. Nauk SSSR Ser. Mat., 11:1 (1947),  33–46
96. Structural isomorphisms of topological abelian groups
    
    Rec. Math. [Mat. Sbornik] N.S., 20(62):1 (1947),  125–144
97. Direct sums of cycles in the Dedekind structures
    
    Rec. Math. [Mat. Sbornik] N.S., 19(61):3 (1946),  439–450
98. On the theory of complete direct products of groups
    
    Rec. Math. [Mat. Sbornik] N.S., 17(59):1 (1945),  85–104


99. Mark Aronovich Naimark (obituary)
    
    Uspekhi Mat. Nauk, 35:4(214) (1980),  135–140
100. 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))
     
     Tr. Mosk. Mat. Obs., 9 (1960),  562