×

zbMATH — the first resource for mathematics

Graev, Mark Iosifovich

Compute Distance To:
Author ID: graev.mark-i Recent zbMATH articles by "Graev, Mark Iosifovich"
Published as: Graev, M.; Graev, M. A.; Graev, M. I.; Graev, Mark I.
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 178 Publications since 1945, including 17 Books

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 888 times in 700 Documents Cited by Year
Generalized functions. Vol. 5: Integral geometry and representation theory. Translated from the Russian by Eugene Saletan. Zbl 0144.17202
Gel’fand, I. M.; Graev, M. I.; Vilenkin, N. Ya.
126
1966
Generalized functions. Vol. 6. Representation theory and automorphic functions. Zbl 0138.07201
Gel’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 0177.18003
Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I.
48
1969
Representations of the group of diffeomorphisms. Zbl 0337.58003
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
43
1975
General hypergeometric systems of equations and series of hypergeometric type. Zbl 0798.33010
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S.
37
1992
Selected topics in integral geometry. Transl. from the Russsian by A. Shtern. Zbl 1055.53059
Gelfand, I. M.; Gindikin, S. G.; Graev, M. I.
32
2003
Combinatorics of hypergeometric functions associated with positive roots. Zbl 0876.33011
Gelfand, Israel M.; Graev, Mark I.; Postnikov, Alexander
30
1997
Crofton’s function and inversion formulas in real integral geometry. Zbl 0731.53066
Gel’fand, I. M.; Graev, M. I.
22
1991
Representations of the group \(\text{SL}(2, R)\), where \(R\) is a ring of functions. Zbl 0288.22005
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
22
1973
Integral geometry in affine and projective spaces. Zbl 0474.52010
Gel’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 0297.22003
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
19
1973
Theorie der topologischen Gruppen. I: Normen und Metrik auf Gruppen. Vollständige Gruppen. Freie topologische Gruppen. Zbl 0037.01301
Graev, M. I.
19
1950
Generalized functions. Vol. 6: Representation theory and automorphic functions. Translated from the Russian by K. A. Hirsch. Reprint of the 1969 original published by Academic Press. Zbl 1339.01004
Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I.
18
2016
Generalized functions. Vol. 5. Integral geometry and related problems in the theory of representations. Zbl 0115.16701
Gel’fand, I. M.; Graev, M. I.; Vilenkin, N. Ya.
18
1962
Representation theory and automorphic functions. Transl. from the Russian by K.A. Hirsch. Reprint. Zbl 0718.11022
Gel’fand, I. M.; Graev, M. I.; Piatetski-Shapiro, Ilya I.
17
1990
Representations of a group of matrices of the second order with elements from a locally compact field, and special functions on locally compact fields. Zbl 0166.40201
Gel’fand, I. M.; Graev, M. I.
17
1963
Holonomic systems of equations and series of hypergeometric type. Zbl 0661.22005
Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V.
16
1987
Representations of the group of smooth mappings of a manifold \(X\) into a compact Lie group. Zbl 0368.53034
Gelfand, I. M.; Graev, M. I.; Vershik, A. M.
15
1977
Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry. I. Zbl 0136.43404
Gel’fand, I. M.; Graev, M. I.
15
1964
Infinite-dimensional representations of the Lie algebra \(\mathfrak{gl}(n,\mathbb C)\) related to complex analogs of the Gelfand-Tsetlin patterns and general hypergeometric functions on the Lie group \(\text{GL}(n,\mathbb C)\). Zbl 1052.22012
Graev, M. I.
14
2004
Irreducible representations of the group \(G^X\) and cohomologies. Zbl 0299.22004
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
13
1974
Construction of irreducible representations of simple algebraic groups over a finite field. Zbl 0119.26901
Gel’fand, I. M.; Graev, M. I.
12
1962
Differential forms and integral geometry. Zbl 0191.52802
Gel’fand, I. M.; Graev, M. I.; Shapiro, Z. Ya.
11
1969
Finite-dimensional irreducible representations of the unitary and the full linear groups and related special functions. Zbl 0185.21701
Gel’fand, I. M.; Graev, M. I.
11
1967
Generalized functions. Vol. 5: Integral geometry and representation theory. Translated from the Russian by Eugene Saletan. Reprint of the 1966 original published by Academic Press. Zbl 1339.01005
Gel’fand, I. M.; Graev, M. I.; Vilenkin, N. Ya.
10
2016
The problem of integral geometry and intertwining operators for a pair of real Grassmannian manifolds. Zbl 0551.53034
Gel’fand, I. M.; Graev, M. I.; Roṣu, R.
10
1984
A commutative model of presentation of the group of flows \(SL(2,R)^ X\) that is connected with a unipotent subgroup. Zbl 0536.22008
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
10
1983
Representations of the group of functions taking values in a compact Lie group. Zbl 0449.22019
Gelfand, I. M.; Graev, M. I.; Vershik, A. M.
10
1980
Structure of the complementary series and special representations of the groups \(O(n,1)\) and \(U(n,1)\). Zbl 1148.22017
Vershik, A. M.; Graev, M. I.
9
2006
Les distributions. Tome 5: Géométrie intégrale et théorie des représentations. Traduit par S. Vasilach et G. Gussi. Zbl 0219.46032
Guelfand, I. M.; Graev, M. I.; Vilenkin, N. Ya.
9
1970
Difference analogs and \(q\)-analogs of general hypergeometric systems of differential equations. Zbl 0792.39006
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S.
8
1992
Unitary representations of the real unimodular group (principal nondegenerate series). Zbl 0070.26102
Gel’fand, I. M.; Graev, M. I.
8
1956
A continuous analogue of Gelfand-Tsetlin schemes and a realization of the principal series of irreducible unitary representations of the group \(\mathrm{GL}(n, \mathbb{C})\) in the space of functions on the variety of these schemes. Zbl 1327.22017
Graev, M. I.
7
2007
The basic representation of the current group \(O(n,1)^X\) in the \(L^2\) space over the generalized Lebesgue measure. Zbl 1147.22013
Graev, M. I.; Vershik, A. M.
7
2005
Hypergeometric functions over an arbitrary field. Zbl 1073.33010
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S.
7
2004
Representations of quaternion groups over locally compact and functional fields. Zbl 0233.20016
Gel’fand, I. M.; Graev, M. I.
7
1968
Integral models of representations of current groups. Zbl 1162.22019
Vershik, A. M.; Graev, M. I.
6
2008
Integral geometry in affine and projective spaces. Zbl 0465.52005
Gel’fand, I. M.; Gindikin, S. G.; Graev, M. I.
6
1980
Models of representations of current groups. Zbl 0595.43005
Gel’fand, I. M.; Graev, M. I.; Vershik, A. M.
5
1985
Complexes of straight lines in the space \(C^ n\). Zbl 0179.50903
Gel’fand, I. M.; Graev, M. I.
5
1968
Unitary representations of real simple Lie groups. Zbl 0179.05004
Graev, M. I.
5
1968
A commutative model of a representation of the group \(O(n, 1)^{X}\) and a generalized Lebesgue measure in the space of distributions. Zbl 1135.22018
Graev, M. I.; Vershik, A. M.
4
2005
Selected problems in integral geometry. Zbl 1056.53048
Gel’fand, I. M.; Gindikin, S. G.; Graev, M. I.
4
2000
A duality theorem for general hypergeometric functions. Zbl 0619.33006
Gel’fand, I. M.; Graev, M. I.
4
1987
Construction of irreducible representations of simple algebraic groups over a finite field. Zbl 0119.26902
Gel’fand, I. M.; Graev, M. I.
4
1962
Integrals over hyperplanes of basic and generalized functions. Zbl 0108.29601
Gel’fand, I. M.; Graev, M. I.
4
1960
Fourier transforms of rapidly decreasing functions on complex semisimple groups. Zbl 0103.33701
Gel’fand, I. M.; Graev, M. I.
4
1960
Unitäre Darstellungen reeller einfacher Liescher Gruppen. Zbl 0087.02402
Graev, M. I.
4
1958
Structural isomorphism of topological abelian groups. Zbl 0029.00701
Graev, M.
4
1947
Cohomology in nonunitary representations of semisimple Lie groups (the group \(U(2,2)\)). Zbl 1317.22011
Vershik, A. M.; Graev, M. I.
3
2014
Integral models of representations of the current groups of simple Lie groups. Zbl 1202.22019
Vershik, A. M.; Graev, M. I.
3
2009
A problem of integral geometry related to a triple of Grassmann manifolds. Zbl 0990.53075
Graev, M. I.
3
2000
GG functions and their relations to general hypergeometric functions. Zbl 0962.33008
Gelfand, I. M.; Graev, M. I.
3
1999
Hypergeometric functions associated with the Grassmannian \(G_{3,6}\). Zbl 0634.33010
Gel’fand, I. M.; Graev, M. I.
3
1987
Admissible \(n\)-dimensional curve complexes in \(R^ 0\). Zbl 0454.53042
Gel’fand, I. M.; Graev, M. I.
3
1980
Representations of the group of smooth mappings from a manifold \(X\) into a compact Lie group. Zbl 0393.22012
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
3
1977
Integral geometry on k-dimensional planes. Zbl 0164.23103
Gel’fand, I. M.; Graev, M. I.; Shapiro, Z. J.
3
1967
Integral transformations connected with straight line complexes in a complex affine space. Zbl 0109.15101
Gel’fand, I. M.; Graev, M. I.
3
1961
Reduction of Lorentz group representations in function spaces on symmetric spaces into irreducible representations. Zbl 0099.32103
Gel’fand, I. M.; Graev, M. I.
3
1959
Cohomology of the Iwasawa subgroup of the group \(U(p,p)\) in nonunitary representations. Zbl 1354.22019
Vershik, A. M.; Graev, M. I.
2
2016
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. Zbl 1279.22032
Vershik, A. M.; Graev, M. I.
2
2012
The Poisson model of the Fock space and representations of current groups. Zbl 1256.81058
Vershik, A. M.; Graev, M. I.
2
2012
Integral models of unitary representations of current groups with values in semidirect products. Zbl 1162.22020
Vershik, A. M.; Graev, M. I.
2
2008
Hypergeometric functions over finite fields. Zbl 1059.33019
Gelfand, I. M.; Graev, M. I.
2
2001
Louck polynomials and their relation to general hypergeometric functions and \(GG\)-functions. Zbl 1042.33009
Gel’fand, I. M.; Graev, M. I.
2
2000
General gamma functions, exponentials, and hypergeometric functions. Zbl 0919.33015
Gelfand, I. M.; Graev, M. I.; Retakh, V. S.
2
1998
\(GG\)-functions and their relation to general hypergeometric functions. Zbl 0922.33010
Gel’fand, I. M.; Graev, M. I.
2
1997
Singular representations of the group \(SU(n,1)\) and projective unitary representations of the current group \(SU(n,1)^ X\). Zbl 0829.22027
Gel’fand, I. M.; Graev, M. I.
2
1993
The \(q\)-hypergeometric equation of Gauss and a description of its series and integral solutions. Zbl 0832.33011
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S.
2
1993
Darstellungen von Diffeomorphismengruppen. Zbl 0317.58009
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
2
1975
The classification of the linear representations of the group SL(2,C). Zbl 0229.22024
Gel’fand, I. M.; Graev, M. I.; Ponomarev, V. A.
2
1970
Theory of group representations. Zbl 0205.13301
Graev, M. I.; Kirillov, A. A.
2
1968
Analogue of tbe Plancherel formula for the classical groups. Translat. by Edwin Hewitt. Zbl 0080.32201
Gel’fand, I. M.; Graev, M. I.
2
1958
Irreducible unitary representations of the group of third order matrices conserving an indefinite Hermite form. Zbl 0091.10802
Graev, M. I.
2
1957
Hauptreihen unitärer Darstellungen reeller Formen einer komplexen unimodularen Gruppe. Zbl 0059.02304
Graev, M. I.
2
1954
On the theory of complete direct products of groups. Zbl 0063.01722
Graev, M. I.
2
1945
Special representations of the Iwasawa subgroups of simple Lie groups. Zbl 1375.22010
Vershik, A. M.; Graev, M. I.
1
2017
Special representations of nilpotent Lie groups and the associated Poisson representations of current groups. Zbl 1298.22006
Vershik, Anatoly M.; Graev, Mark I.
1
2013
Rings of formal power series and a multidimensional analogue of the Lagrange formula. Zbl 1233.32002
Graev, M. I.
1
2011
General hypergeometric functions of matrices and their connection to representations of linear groups and Lie algebras. Zbl 1130.33007
Graev, M. I.
1
2005
Geometric and topological structures related to universal algebras. Zbl 1081.08012
Graev, M. I.; Koganov, A. V.
1
2003
Hypergeometric \(\mathcal N\)-functions. Zbl 1059.33017
Gelfand, I. M.; Graev, M. I.
1
2001
Integral geometry on the space \(L^ n\), where \(L\) is a matrix ring. Zbl 0886.53052
Graev, M. I.
1
1996
Reduction formulas for hypergeometric functions associated with the Grassmannian \(G_{k,n}\) and description of these functions on strata of small codimension in \(G_{k,n}\). Zbl 0870.33008
Gel’fand, Israel M.; Graev, Mark I.; Retakh, Vladimir S.
1
1993
Hypergeometric functions associated with the Grassmannian \(G_{3,6}\). Zbl 0667.33008
Gel’fand, I. M.; Graev, M. I.
1
1989
The problem of integral geometry for p-dimensional planes in real projective space (the non-local variant). Zbl 0526.53061
Gelfand, I. M.; Graev, M. I.; Rosu, R.
1
1984
Remarks on the representations of a group of functions with values within a compact Lie group. Zbl 0416.22031
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
1
1979
A problem of integral geometry connected with a pair of Grassmann manifolds. Zbl 0209.26701
Gel’fand, I. M.; Graev, M. I.; Shapiro, Z. Ya.
1
1970
Irreducible unitary representations of the group of unimodular second- order matrices with elements from a locally compact field. Zbl 0119.27001
Gel’fand, I. M.; Graev, M. I.
1
1963
Anwendung der Methode der Horosphären auf die Spektralanalyse von Funktionen im reellen und imaginären Lobacevskischen Raume. Zbl 0176.44302
Gel’fand, I. M.; Graev, M. I.
1
1962
Unitary representations of real simple Lie groups. Zbl 0100.32302
Graev, M. I.
1
1960
Ein Analogon der Plancherelschen Formel für die klassischen Gruppen. Zbl 0066.02005
Gel’fand, I. M.; Graev, M. I.
1
1955
Die Spuren der unitären Darstellungen der reellen unimodularen Gruppe. Zbl 0064.11103
Gel’fand, I. M.; Graev, M. I.
1
1955
Die unitären Darstellungen der reellen unimodularen Gruppe (nicht- ausgeartete Fundamentalreihen). Zbl 0052.34102
Gel’fand, I. M.; Graev, M. I.
1
1953
Isomorphisms of direct decompositions in Dedekind’s structures. Zbl 0033.15202
Graev, M.
1
1947
Direct sums of cycles in the Dedekind structures. Zbl 0060.06002
Graev, M.
1
1946
Special representations of the Iwasawa subgroups of simple Lie groups. Zbl 1375.22010
Vershik, A. M.; Graev, M. I.
1
2017
Generalized functions. Vol. 6: Representation theory and automorphic functions. Translated from the Russian by K. A. Hirsch. Reprint of the 1969 original published by Academic Press. Zbl 1339.01004
Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I.
18
2016
Generalized functions. Vol. 5: Integral geometry and representation theory. Translated from the Russian by Eugene Saletan. Reprint of the 1966 original published by Academic Press. Zbl 1339.01005
Gel’fand, I. M.; Graev, M. I.; Vilenkin, N. Ya.
10
2016
Cohomology of the Iwasawa subgroup of the group \(U(p,p)\) in nonunitary representations. Zbl 1354.22019
Vershik, A. M.; Graev, M. I.
2
2016
Cohomology in nonunitary representations of semisimple Lie groups (the group \(U(2,2)\)). Zbl 1317.22011
Vershik, A. M.; Graev, M. I.
3
2014
Special representations of nilpotent Lie groups and the associated Poisson representations of current groups. Zbl 1298.22006
Vershik, Anatoly M.; Graev, Mark I.
1
2013
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. Zbl 1279.22032
Vershik, A. M.; Graev, M. I.
2
2012
The Poisson model of the Fock space and representations of current groups. Zbl 1256.81058
Vershik, A. M.; Graev, M. I.
2
2012
Rings of formal power series and a multidimensional analogue of the Lagrange formula. Zbl 1233.32002
Graev, M. I.
1
2011
Integral models of representations of the current groups of simple Lie groups. Zbl 1202.22019
Vershik, A. M.; Graev, M. I.
3
2009
Integral models of representations of current groups. Zbl 1162.22019
Vershik, A. M.; Graev, M. I.
6
2008
Integral models of unitary representations of current groups with values in semidirect products. Zbl 1162.22020
Vershik, A. M.; Graev, M. I.
2
2008
A continuous analogue of Gelfand-Tsetlin schemes and a realization of the principal series of irreducible unitary representations of the group \(\mathrm{GL}(n, \mathbb{C})\) in the space of functions on the variety of these schemes. Zbl 1327.22017
Graev, M. I.
7
2007
Structure of the complementary series and special representations of the groups \(O(n,1)\) and \(U(n,1)\). Zbl 1148.22017
Vershik, A. M.; Graev, M. I.
9
2006
The basic representation of the current group \(O(n,1)^X\) in the \(L^2\) space over the generalized Lebesgue measure. Zbl 1147.22013
Graev, M. I.; Vershik, A. M.
7
2005
A commutative model of a representation of the group \(O(n, 1)^{X}\) and a generalized Lebesgue measure in the space of distributions. Zbl 1135.22018
Graev, M. I.; Vershik, A. M.
4
2005
General hypergeometric functions of matrices and their connection to representations of linear groups and Lie algebras. Zbl 1130.33007
Graev, M. I.
1
2005
Infinite-dimensional representations of the Lie algebra \(\mathfrak{gl}(n,\mathbb C)\) related to complex analogs of the Gelfand-Tsetlin patterns and general hypergeometric functions on the Lie group \(\text{GL}(n,\mathbb C)\). Zbl 1052.22012
Graev, M. I.
14
2004
Hypergeometric functions over an arbitrary field. Zbl 1073.33010
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S.
7
2004
Selected topics in integral geometry. Transl. from the Russsian by A. Shtern. Zbl 1055.53059
Gelfand, I. M.; Gindikin, S. G.; Graev, M. I.
32
2003
Geometric and topological structures related to universal algebras. Zbl 1081.08012
Graev, M. I.; Koganov, A. V.
1
2003
Hypergeometric functions over finite fields. Zbl 1059.33019
Gelfand, I. M.; Graev, M. I.
2
2001
Hypergeometric \(\mathcal N\)-functions. Zbl 1059.33017
Gelfand, I. M.; Graev, M. I.
1
2001
Selected problems in integral geometry. Zbl 1056.53048
Gel’fand, I. M.; Gindikin, S. G.; Graev, M. I.
4
2000
A problem of integral geometry related to a triple of Grassmann manifolds. Zbl 0990.53075
Graev, M. I.
3
2000
Louck polynomials and their relation to general hypergeometric functions and \(GG\)-functions. Zbl 1042.33009
Gel’fand, I. M.; Graev, M. I.
2
2000
GG functions and their relations to general hypergeometric functions. Zbl 0962.33008
Gelfand, I. M.; Graev, M. I.
3
1999
General gamma functions, exponentials, and hypergeometric functions. Zbl 0919.33015
Gelfand, I. M.; Graev, M. I.; Retakh, V. S.
2
1998
Combinatorics of hypergeometric functions associated with positive roots. Zbl 0876.33011
Gelfand, Israel M.; Graev, Mark I.; Postnikov, Alexander
30
1997
\(GG\)-functions and their relation to general hypergeometric functions. Zbl 0922.33010
Gel’fand, I. M.; Graev, M. I.
2
1997
Integral geometry on the space \(L^ n\), where \(L\) is a matrix ring. Zbl 0886.53052
Graev, M. I.
1
1996
Singular representations of the group \(SU(n,1)\) and projective unitary representations of the current group \(SU(n,1)^ X\). Zbl 0829.22027
Gel’fand, I. M.; Graev, M. I.
2
1993
The \(q\)-hypergeometric equation of Gauss and a description of its series and integral solutions. Zbl 0832.33011
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S.
2
1993
Reduction formulas for hypergeometric functions associated with the Grassmannian \(G_{k,n}\) and description of these functions on strata of small codimension in \(G_{k,n}\). Zbl 0870.33008
Gel’fand, Israel M.; Graev, Mark I.; Retakh, Vladimir S.
1
1993
General hypergeometric systems of equations and series of hypergeometric type. Zbl 0798.33010
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S.
37
1992
Difference analogs and \(q\)-analogs of general hypergeometric systems of differential equations. Zbl 0792.39006
Gel’fand, I. M.; Graev, M. I.; Retakh, V. S.
8
1992
Crofton’s function and inversion formulas in real integral geometry. Zbl 0731.53066
Gel’fand, I. M.; Graev, M. I.
22
1991
Representation theory and automorphic functions. Transl. from the Russian by K.A. Hirsch. Reprint. Zbl 0718.11022
Gel’fand, I. M.; Graev, M. I.; Piatetski-Shapiro, Ilya I.
17
1990
Hypergeometric functions associated with the Grassmannian \(G_{3,6}\). Zbl 0667.33008
Gel’fand, I. M.; Graev, M. I.
1
1989
Holonomic systems of equations and series of hypergeometric type. Zbl 0661.22005
Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V.
16
1987
A duality theorem for general hypergeometric functions. Zbl 0619.33006
Gel’fand, I. M.; Graev, M. I.
4
1987
Hypergeometric functions associated with the Grassmannian \(G_{3,6}\). Zbl 0634.33010
Gel’fand, I. M.; Graev, M. I.
3
1987
Models of representations of current groups. Zbl 0595.43005
Gel’fand, I. M.; Graev, M. I.; Vershik, A. M.
5
1985
The problem of integral geometry and intertwining operators for a pair of real Grassmannian manifolds. Zbl 0551.53034
Gel’fand, I. M.; Graev, M. I.; Roṣu, R.
10
1984
The problem of integral geometry for p-dimensional planes in real projective space (the non-local variant). Zbl 0526.53061
Gelfand, I. M.; Graev, M. I.; Rosu, R.
1
1984
A commutative model of presentation of the group of flows \(SL(2,R)^ X\) that is connected with a unipotent subgroup. Zbl 0536.22008
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
10
1983
Integral geometry in affine and projective spaces. Zbl 0474.52010
Gel’fand, I. M.; Gindikin, S. G.; Graev, M. I.
19
1982
Representations of the group of functions taking values in a compact Lie group. Zbl 0449.22019
Gelfand, I. M.; Graev, M. I.; Vershik, A. M.
10
1980
Integral geometry in affine and projective spaces. Zbl 0465.52005
Gel’fand, I. M.; Gindikin, S. G.; Graev, M. I.
6
1980
Admissible \(n\)-dimensional curve complexes in \(R^ 0\). Zbl 0454.53042
Gel’fand, I. M.; Graev, M. I.
3
1980
Remarks on the representations of a group of functions with values within a compact Lie group. Zbl 0416.22031
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
1
1979
Representations of the group of smooth mappings of a manifold \(X\) into a compact Lie group. Zbl 0368.53034
Gelfand, I. M.; Graev, M. I.; Vershik, A. M.
15
1977
Representations of the group of smooth mappings from a manifold \(X\) into a compact Lie group. Zbl 0393.22012
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
3
1977
Representations of the group of diffeomorphisms. Zbl 0337.58003
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
43
1975
Darstellungen von Diffeomorphismengruppen. Zbl 0317.58009
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
2
1975
Irreducible representations of the group \(G^X\) and cohomologies. Zbl 0299.22004
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
13
1974
Representations of the group \(\text{SL}(2, R)\), where \(R\) is a ring of functions. Zbl 0288.22005
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
22
1973
Representations of the group \(\text{SL}(2, R)\), where \(R\) is a ring of functions. Zbl 0297.22003
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
19
1973
Les distributions. Tome 5: Géométrie intégrale et théorie des représentations. Traduit par S. Vasilach et G. Gussi. Zbl 0219.46032
Guelfand, I. M.; Graev, M. I.; Vilenkin, N. Ya.
9
1970
The classification of the linear representations of the group SL(2,C). Zbl 0229.22024
Gel’fand, I. M.; Graev, M. I.; Ponomarev, V. A.
2
1970
A problem of integral geometry connected with a pair of Grassmann manifolds. Zbl 0209.26701
Gel’fand, I. M.; Graev, M. I.; Shapiro, Z. Ya.
1
1970
Representation theory and automorphic function. Translated from the Russian by K. A. Hirsch. Zbl 0177.18003
Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I.
48
1969
Differential forms and integral geometry. Zbl 0191.52802
Gel’fand, I. M.; Graev, M. I.; Shapiro, Z. Ya.
11
1969
Representations of quaternion groups over locally compact and functional fields. Zbl 0233.20016
Gel’fand, I. M.; Graev, M. I.
7
1968
Complexes of straight lines in the space \(C^ n\). Zbl 0179.50903
Gel’fand, I. M.; Graev, M. I.
5
1968
Unitary representations of real simple Lie groups. Zbl 0179.05004
Graev, M. I.
5
1968
Theory of group representations. Zbl 0205.13301
Graev, M. I.; Kirillov, A. A.
2
1968
Finite-dimensional irreducible representations of the unitary and the full linear groups and related special functions. Zbl 0185.21701
Gel’fand, I. M.; Graev, M. I.
11
1967
Integral geometry on k-dimensional planes. Zbl 0164.23103
Gel’fand, I. M.; Graev, M. I.; Shapiro, Z. J.
3
1967
Generalized functions. Vol. 5: Integral geometry and representation theory. Translated from the Russian by Eugene Saletan. Zbl 0144.17202
Gel’fand, I. M.; Graev, M. I.; Vilenkin, N. Ya.
126
1966
Generalized functions. Vol. 6. Representation theory and automorphic functions. Zbl 0138.07201
Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I.
49
1966
Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry. I. Zbl 0136.43404
Gel’fand, I. M.; Graev, M. I.
15
1964
Representations of a group of matrices of the second order with elements from a locally compact field, and special functions on locally compact fields. Zbl 0166.40201
Gel’fand, I. M.; Graev, M. I.
17
1963
Irreducible unitary representations of the group of unimodular second- order matrices with elements from a locally compact field. Zbl 0119.27001
Gel’fand, I. M.; Graev, M. I.
1
1963
Generalized functions. Vol. 5. Integral geometry and related problems in the theory of representations. Zbl 0115.16701
Gel’fand, I. M.; Graev, M. I.; Vilenkin, N. Ya.
18
1962
Construction of irreducible representations of simple algebraic groups over a finite field. Zbl 0119.26901
Gel’fand, I. M.; Graev, M. I.
12
1962
Construction of irreducible representations of simple algebraic groups over a finite field. Zbl 0119.26902
Gel’fand, I. M.; Graev, M. I.
4
1962
Anwendung der Methode der Horosphären auf die Spektralanalyse von Funktionen im reellen und imaginären Lobacevskischen Raume. Zbl 0176.44302
Gel’fand, I. M.; Graev, M. I.
1
1962
Integral transformations connected with straight line complexes in a complex affine space. Zbl 0109.15101
Gel’fand, I. M.; Graev, M. I.
3
1961
Integrals over hyperplanes of basic and generalized functions. Zbl 0108.29601
Gel’fand, I. M.; Graev, M. I.
4
1960
Fourier transforms of rapidly decreasing functions on complex semisimple groups. Zbl 0103.33701
Gel’fand, I. M.; Graev, M. I.
4
1960
Unitary representations of real simple Lie groups. Zbl 0100.32302
Graev, M. I.
1
1960
Reduction of Lorentz group representations in function spaces on symmetric spaces into irreducible representations. Zbl 0099.32103
Gel’fand, I. M.; Graev, M. I.
3
1959
Unitäre Darstellungen reeller einfacher Liescher Gruppen. Zbl 0087.02402
Graev, M. I.
4
1958
Analogue of tbe Plancherel formula for the classical groups. Translat. by Edwin Hewitt. Zbl 0080.32201
Gel’fand, I. M.; Graev, M. I.
2
1958
Irreducible unitary representations of the group of third order matrices conserving an indefinite Hermite form. Zbl 0091.10802
Graev, M. I.
2
1957
Unitary representations of the real unimodular group (principal nondegenerate series). Zbl 0070.26102
Gel’fand, I. M.; Graev, M. I.
8
1956
Ein Analogon der Plancherelschen Formel für die klassischen Gruppen. Zbl 0066.02005
Gel’fand, I. M.; Graev, M. I.
1
1955
Die Spuren der unitären Darstellungen der reellen unimodularen Gruppe. Zbl 0064.11103
Gel’fand, I. M.; Graev, M. I.
1
1955
Hauptreihen unitärer Darstellungen reeller Formen einer komplexen unimodularen Gruppe. Zbl 0059.02304
Graev, M. I.
2
1954
Die unitären Darstellungen der reellen unimodularen Gruppe (nicht- ausgeartete Fundamentalreihen). Zbl 0052.34102
Gel’fand, I. M.; Graev, M. I.
1
1953
Theorie der topologischen Gruppen. I: Normen und Metrik auf Gruppen. Vollständige Gruppen. Freie topologische Gruppen. Zbl 0037.01301
Graev, M. I.
19
1950
Structural isomorphism of topological abelian groups. Zbl 0029.00701
Graev, M.
4
1947
Isomorphisms of direct decompositions in Dedekind’s structures. Zbl 0033.15202
Graev, M.
1
1947
Direct sums of cycles in the Dedekind structures. Zbl 0060.06002
Graev, M.
1
1946
On the theory of complete direct products of groups. Zbl 0063.01722
Graev, M. I.
2
1945
all top 5

Cited by 738 Authors

25 Vershik, Anatoliĭ Moiseevich
19 Albeverio, Sergio A.
18 Rubin, Boris
17 Graev, Mark Iosifovich
12 Futorny, Vyacheslav M.
9 Kondrat’yev, Yuriĭ Grygorovych
8 Lytvynov, Eugene W.
8 Neretin, Yuriĭ Aleksandrovich
8 Ramirez, Luis Enrique
7 Derkachëv, Sergeĭ Èduardovich
7 Gel’fand, Israil’ Moiseevich
7 Khrennikov, Andreĭ Yur’evich
7 Quinto, Eric Todd
6 Alesker, Semyon
6 Daletskii, Alexei
6 Katsevich, Alexander I.
5 Dragovich, Branko
5 Frenkel, Igor B.
5 Høegh-Krohn, Raphael J.
5 Kazhdan, David A.
5 Kobayashi, Toshiyuki
5 Manashov, Alexander N.
5 Matusevich, Laura Felicia
5 Mészáros, Karola
5 Ramm, Alexander G.
5 Sadykov, Timur Mradovich
5 Sally, Paul J. jun.
5 Shelkovich, Vladimir M.
5 Smorodina, Natal’ya Vasil’evna
5 Speh, Birgit
4 Bezrodnykh, Sergeĭ I.
4 Grantcharov, Dimitar
4 Greenleaf, Allan
4 Hetyei, Gábor
4 Kuchment, Peter A.
4 Odesskii, Alexander
4 Reznikov, Andre
4 Röckner, Michael
4 Spiridonov, Vyacheslav Pavlovich
4 Testard, Daniel H.
4 Tkachenko, Mikhail Gelievich
4 Uhlmann, Gunther Alberto
4 Walther, Uli
3 Abramov, Sergeĭ Aleksandrovich
3 Anikonov, Dmitriĭ Sergeevich
3 Bernstein, Joseph
3 Bertola, Marco
3 Ceballos, Cesar
3 D’Agnolo, Andrea
3 Dickenstein, Alicia M.
3 Ehrenborg, Richard
3 Epstein, Henri
3 Fernández-Fernández, María-Cruz
3 Goncharov, Alexander Borisovich
3 Gonzalez, Fulton B.
3 Grinberg, Eric Liviu
3 Helgason, Sigurdur
3 Hibi, Takayuki
3 Hirai, Takeshi
3 Kapranov, Mikhail M.
3 Kawanaka, Noriaki
3 Li, Jian-Shu
3 Marion, Jean A.
3 Missarov, Moukadas D.
3 Molchanov, Vladimir Fedorovich
3 Ohsugi, Hidefumi
3 Padrol, Arnau
3 Pestov, Vladimir G.
3 Petkovšek, Marko
3 Protasov, Igor Volodymyrovych
3 Sadiq, Kamran
3 Schulze, Mathias
3 Shimomura, Hiroaki
3 Sokolov, Vladimir Vyacheslavovich
3 Sommen, Franciscus
3 Su, Feng
3 Tamasan, Alexandru
3 Tanner, Elizabeth A.
3 Tovbis, Alexander
3 Wallach, Nolan Russell
3 Wang, Yingzhan
3 Wilson, Raj
3 Wong, M. K. F.
3 Zhang, Genkai
2 Adamo, Timothy M.
2 Agranovsky, Mark L.
2 Albertin, Uwe K.
2 Alpay, Daniel Aron
2 Belitsky, Andrei V.
2 Berkesch Zamaere, Christine
2 Bhowmick, Samrat
2 Bobylev, Nikolaĭ Antonovich
2 Bogachev, Leonid V.
2 Boman, Jan
2 Capdeboscq, Inna
2 Carmeli, Moshe
2 Cellini, Paola
2 Corwin, Lawrence J.
2 Deitmar, Anton
2 Delorme, Patrick
...and 638 more Authors
all top 5

Cited in 180 Serials

40 Journal of Functional Analysis
29 Advances in Mathematics
28 Functional Analysis and its Applications
27 Journal of Mathematical Physics
21 Duke Mathematical Journal
20 Journal of Mathematical Analysis and Applications
19 Transactions of the American Mathematical Society
17 Journal of Mathematical Sciences (New York)
15 Theoretical and Mathematical Physics
13 Nuclear Physics. B
13 Topology and its Applications
12 Communications in Mathematical Physics
11 Journal of Geometry and Physics
11 Mathematische Annalen
11 Proceedings of the Japan Academy
10 Reports on Mathematical Physics
10 Journal of Algebra
9 Mathematical Notes
9 Inventiones Mathematicae
9 Proceedings of the Japan Academy. Series A
9 Annals of Physics
8 Proceedings of the American Mathematical Society
8 Siberian Mathematical Journal
7 Inverse Problems
7 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
7 Compositio Mathematica
7 The Journal of Fourier Analysis and Applications
7 Proceedings of the Steklov Institute of Mathematics
6 Ukrainian Mathematical Journal
6 Annales de l’Institut Fourier
6 Journal of Combinatorial Theory. Series A
6 Acta Applicandae Mathematicae
5 Acta Mathematica
5 Journal of Pure and Applied Algebra
5 Journal of Soviet Mathematics
5 Advances in Applied Mathematics
5 International Journal of Mathematics
5 Indagationes Mathematicae. New Series
5 Bulletin of the American Mathematical Society
4 Physics Letters. B
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Journal of Number Theory
4 Mathematische Zeitschrift
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Tohoku Mathematical Journal. Second Series
4 Forum Mathematicum
4 Russian Journal of Mathematical Physics
4 Annales Mathématiques Blaise Pascal
4 Integral Transforms and Special Functions
4 Infinite Dimensional Analysis, Quantum Probability and Related Topics
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 International Journal of Theoretical Physics
3 Physics Letters. A
3 Reviews in Mathematical Physics
3 Algebra and Logic
3 Bulletin de la Société Mathématique de France
3 Journal of Computational and Applied Mathematics
3 Journal of Symbolic Computation
3 Revista Matemática Iberoamericana
3 The Journal of Geometric Analysis
3 Linear Algebra and its Applications
3 Bulletin of the American Mathematical Society. New Series
3 Bulletin des Sciences Mathématiques
3 Séminaire Lotharingien de Combinatoire
3 Doklady Mathematics
3 Fractional Calculus & Applied Analysis
3 Journal of Siberian Federal University. Mathematics & Physics
3 Algebraic Combinatorics
2 Communications on Pure and Applied Mathematics
2 General Relativity and Gravitation
2 International Journal of Engineering Science
2 International Journal of Solids and Structures
2 Rocky Mountain Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Multivariate Analysis
2 Memoirs of the American Mathematical Society
2 Programming and Computer Software
2 Rendiconti del Seminario Matematico della Università di Padova
2 Annals of Global Analysis and Geometry
2 Physica D
2 Discrete & Computational Geometry
2 European Journal of Applied Mathematics
2 Differential Geometry and its Applications
2 SIAM Journal on Mathematical Analysis
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Algebraic Combinatorics
2 Applied and Computational Harmonic Analysis
2 St. Petersburg Mathematical Journal
2 Selecta Mathematica. New Series
2 Engineering Analysis with Boundary Elements
2 Journal of High Energy Physics
2 Living Reviews in Relativity
2 Journal of Systems Science and Complexity
2 Kodai Mathematical Seminar Reports
2 Analysis and Mathematical Physics
2 Arnold Mathematical Journal
1 Bulletin of the Australian Mathematical Society
1 Classical and Quantum Gravity
...and 80 more Serials
all top 5

Cited in 57 Fields

210 Topological groups, Lie groups (22-XX)
88 Quantum theory (81-XX)
86 Integral transforms, operational calculus (44-XX)
77 Number theory (11-XX)
74 Special functions (33-XX)
63 Abstract harmonic analysis (43-XX)
59 Differential geometry (53-XX)
49 Global analysis, analysis on manifolds (58-XX)
43 Group theory and generalizations (20-XX)
42 Nonassociative rings and algebras (17-XX)
42 Partial differential equations (35-XX)
41 Functional analysis (46-XX)
40 Probability theory and stochastic processes (60-XX)
34 Operator theory (47-XX)
32 Combinatorics (05-XX)
32 Several complex variables and analytic spaces (32-XX)
31 Dynamical systems and ergodic theory (37-XX)
29 Harmonic analysis on Euclidean spaces (42-XX)
29 Convex and discrete geometry (52-XX)
28 Algebraic geometry (14-XX)
22 Measure and integration (28-XX)
20 Functions of a complex variable (30-XX)
18 General topology (54-XX)
15 Numerical analysis (65-XX)
15 Statistical mechanics, structure of matter (82-XX)
15 Biology and other natural sciences (92-XX)
13 Associative rings and algebras (16-XX)
12 Relativity and gravitational theory (83-XX)
10 Real functions (26-XX)
9 Commutative algebra (13-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Manifolds and cell complexes (57-XX)
8 Geometry (51-XX)
8 Mechanics of deformable solids (74-XX)
8 Information and communication theory, circuits (94-XX)
7 Integral equations (45-XX)
6 Ordinary differential equations (34-XX)
5 Difference and functional equations (39-XX)
5 Fluid mechanics (76-XX)
4 Potential theory (31-XX)
4 Mechanics of particles and systems (70-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Sequences, series, summability (40-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Statistics (62-XX)
3 Computer science (68-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Category theory; homological algebra (18-XX)
2 Approximations and expansions (41-XX)
2 Optics, electromagnetic theory (78-XX)
2 Systems theory; control (93-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.