М. И. Граев

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All published works

Action	Title	Year	Authors
+	Nonunitary Representations of the Groups of U(p, q)-currents for q ≥ p > 1	2018	Анатолий Моисеевич Вершик М. И. Граев
+	Nonunitary representations of the groups of $U(p,q)$-currents for $q\geq p>1$	2017	A. M. Vershik М. И. Граев
+	Special Representations of the Iwasawa Subgroups of Simple Lie Groups	2017	A. M. Vershik М. И. Граев
+	Nonunitary representations of the groups of $U(p,q)$-currents for $q\geq p>1$	2017	Анатолий Моисеевич Вершик М. И. Граев
+	Homogeneous spaces with a discrete stability group	2016	I. Gel′fand М. И. Граев I. I. Pyatetskii-Shapiro
+	Representations of the group of unimodular matrices of order 2 with elements from a locally compact topological field	2016	I. Gel′fand М. И. Граев I. I. Pyatetskii-Shapiro
+	Generalized Functions, Volume 6	2016	I. M. Gel'fand М. И. Граев I. I. Pyatetskii-Shapiro
+	Radon transform of test functions and generalized functions on a real affine space	2016	I. M. Gel'fand М. И. Граев N. Ya. Vilenkin
+	Representations of the group of complex unimodular matrices in two dimensions	2016	I. M. Gel'fand М. И. Граев N. Ya. Vilenkin
+	Harmonic analysis on spaces homogeneous with respect to the Lorentz group	2016	I. Gel′fand М. И. Граев N. Ya. Vilenkin
+ PDF	Representations of the group of real unimodular matrices in two dimensions	2016	I. M. Gel'fand М. И. Граев N. Ya. Vilenkin
+	Cohomology of Iwasawa subgroup of the group $U(p,p)$ in nonunitary representations	2015	A. M. Vershik М. И. Граев
+	Cohomology of Iwasawa subgroup of the group $U(p,p)$ in nonunitary representations	2015	A. M. Vershik М. И. Граев
+ PDF Chat	Cohomology in nonunitary representations of semisimple Lie groups (the group U(2, 2))	2014	A. M. Vershik М. И. Граев
+	Cohomology in nonunitary representations of semisimple Lie groups (the group $U(2,2)$)	2014	A. M. Vershik М. И. Граев
+ PDF	Когомологии в неунитарных представлениях полупростых групп Ли (группа $U(2,2)$)	2014	Анатолий Моисеевич Вершик Анатолий Моисеевич Вершик М. И. Граев М. И. Граев
+ PDF Chat	Special Representations of Nilpotent Lie Groups and the Associated Poisson Representations of Current Groups	2013	A. M. Vershik М. И. Граев
+ PDF	The Poisson model of the Fock space and representations of current groups	2012	Анатолий Моисеевич Вершик М. И. Граев
+	Special representations of the groups U(∞, 1) and O(∞, 1) and the associated representations of the current groups U(∞, 1) X and O(∞, 1) X in quasi-poisson spaces	2012	Анатолий Моисеевич Вершик М. И. Граев
+	Special representations of nilpotent Lie groups and the associated Poisson representations of current groups	2012	Анатолий Моисеевич Вершик М. И. Граев
+	Integral geometry, hypergroups, and Gelfand’s question	2011	М. И. Граев G. L. Litvinov
+	Rings of formal power series and a multidimensional analogue of the lagrange formula	2011	М. И. Граев
+	Averaging operator on countable directed graphs and its inversion formula	2011	М. И. Граев A. V. Koganov
+	Integral geometry, hypergroups, and I.M. Gelfand's question	2011	М. И. Граев G. L. Litvinov
+	Integral models of representations of the current groups of simple Lie groups	2009	Анатолий Моисеевич Вершик М. И. Граев
+ PDF	Интегральные модели представлений групп токов простых групп Ли	2009	Анатолий Моисеевич Вершик Анатолий Моисеевич Вершик М. И. Граев М. И. Граев
+ PDF Chat	Integral models of unitary representations of current groups with values in semidirect products	2008	A. M. Vershik М. И. Граев
+	Integral models of unitary representations of current groups with values in semidirect products	2008	A. M. Vershik М. И. Граев
+	Integral models of representations of current groups	2008	Анатолий Моисеевич Вершик М. И. Граев
+	Integral models of unitary representations of current groups with values in semidirect products	2008	Анатолий Моисеевич Вершик М. И. Граев
+	A continuous analogue of Gelfand-Tsetlin schemes and a realization of the principal series of irreducible unitary representations of the group GL(n, ℂ) in the space of functions on the variety of these schemes	2007	М. И. Граев
+	Интегральные преобразования на группах gl(n, ) и gl(n, ), связанные с их нильпотентными подгруппами	2007	М. И. Граев С. В. Кольцова
+	Structure of the complementary series and special representations of the groups<i>O</i>(<i>n</i>,1) and<i>U</i>(<i>n</i>,1)	2006	A. M. Vershik М. И. Граев
+	The structure of complementary series and special representations	2006	М. И. Граев Анатолий Моисеевич Вершик
+ PDF	Структура дополнительных серий и особых представлений групп $O(n,1)$ и $U(n,1)$	2006	Анатолий Моисеевич Вершик Анатолий Моисеевич Вершик М. И. Граев М. И. Граев
+	The basic representation of the current group O(n,1)X in the L2 space over the generalized Lebesgue measure	2005	М. И. Граев A. M. Vershik
+	A Commutative Model of a Representation of the Group O(n, 1)X and a Generalized Lebesgue Measure in the Space of Distributions	2005	М. И. Граев A. M. Vershik
+ PDF	Коммутативная модель представления группы $O(n,1)^X$ и обобщенная лебегова мера в пространстве распределений	2005	Анатолий Моисеевич Вершик Анатолий Моисеевич Вершик Анатолий Моисеевич Вершик Анатолий Моисеевич Вершик М. И. Граев М. И. Граев
+	The Basic Representation of the Current Group O(n,1)^X in the L^2 space over the generalized Lebesgue Measure	2005	A. M. Vershik М. И. Граев
+	Hypergeometric functions over an arbitrary field	2004	I. M. Gel'fand М. И. Граев Vladimir Retakh
+	Infinite-Dimensional Representations of the Lie Algebra \mathfrakgl(n,C) Related to Complex Analogs of the Gelfand–Tsetlin Patterns and General Hypergeometric Functions on the Lie Group GL(n,C)	2004	М. И. Граев
+ PDF	Гипергеометрические функции над произвольным полем	2004	I. M. Gel'fand I. M. Gel'fand М. И. Граев М. И. Граев Vladimir Retakh Vladimir Retakh
+	Selected Topics in Integral Geometry	2003	I. M. Gel'fand Simon Gindikin М. И. Граев
+	Selected Topics in Integral Geometry	2003	I. M. Gel'fand Simon Gindikin М. И. Граев
+ PDF	Integral geometry and harmonic analysis on the hyperbolic plane and in the hyperbolic space	2003	I. M. Gel'fand Simon Gindikin М. И. Граев
+ PDF	Integral geometry on quadrics	2003	I. M. Gel'fand Simon Gindikin М. И. Граев
+	Integral geometry and harmonic analysis on the group 𝐺=𝑆𝐿(2,ℂ)	2003	I. M. Gel'fand Simon Gindikin М. И. Граев
+	None	2002	М. И. Граев
+	$ \mathscr N$-functions and their relationship with solutions of general hypergeometric systems and<i>GG</i>-systems	2001	I. M. Gel'fand М. И. Граев
+ PDF	$\mathscr N$-функции и их связь с решениями общих гипергеометрических систем и $GG$-систем	2001	I. M. Gel'fand I. M. Gel'fand М. И. Граев М. И. Граев
+	GG-functions and their relations to A-hypergeometric functions	1999	Israel M. Gelfand М. И. Граев
+	None	1999	I. M. Gel'fand М. И. Граев
+	General gamma functions, exponentials, and hypergeometric functions	1998	I. M. Gel'fand М. И. Граев Vladimir Retakh
+	Singular representations of Lie groups and related representations of current groups	1998	М. И. Граев
+	Difference analogs and (r, s)-analogs ofGG-functions	1998	М. И. Граев
+ PDF	Общие гамма-функции, экспоненты и гипергеометрические функции	1998	I. M. Gel'fand I. M. Gel'fand М. И. Граев М. И. Граев Vladimir Retakh Vladimir Retakh
+	<i>GG</i>-functions and their relation to general hypergeometric functions	1997	I. M. Gel'fand М. И. Граев
+	Combinatorics of hypergeometric functions associated with positive roots	1997	Israel M. Gelfand М. И. Граев Alexander Postnikov
+ PDF	$GG$-функции и их связь с общими гипергеометрическими функциями	1997	I. M. Gel'fand I. M. Gel'fand М. И. Граев М. И. Граев
+	Integral geometry on the spaceL n , whereL is a matrix ring	1996	М. И. Граев
+	Equations and series of hypergeometric type	1995	М. И. Граев
+	Projective representations of the current group SU(1, 1) X	1994	Israel M. Gelfand М. И. Граев
+	Hypergeometric systems of Gelfand-type equations and series in orthogonal polynomials	1993	М. И. Граев Vladimir Retakh
+	General hypergeometric systems of equations and series of hypergeometric type	1992	I. M. Gel'fand М. И. Граев Vladimir Retakh
+	General hypergeometric functions	1992	М. И. Граев
+	RECENT DEVELOPMENTS IN THE THEORY OF GENERAL HYPERGEOMETRIC FUNCTIONS(Special Differential Equations)	1991	Israel M. Gelfand М. И. Граев Vladimir Retakh
+	Crofton's function and inversion formulas in real integral geometry	1991	I. M. Gel'fand М. И. Граев
+	HYPERGEOMETRIC FUNCTIONS ASSOCIATED WITH THE GRASSMANNIAN<i>G</i><sub>3,6</sub>	1990	I. M. Gel'fand М. И. Граев
+	Nonlocal inversion formulas in a problem of integral geometry related to p-dimensional planes in real projective space	1983	I. M. Gel'fand М. И. Граев R. Rosu
+	A commutative model of representation of the group of flows SL(2, R)X that is connected with a unipotent subgroup	1983	A. M. Vershik I. M. Gel'fand М. И. Граев
+	Integral geometry in affine and projective spaces	1982	I. M. Gel'fand Simon Gindikin М. И. Граев
+	Representations of the group of functions taking values in a compact Lie group	1980	Israel M. Gelfand М. И. Граев A. M. Veršik
+	Representations of the group of smooth mappings of a manifold X into a compact Lie group	1977	Israel M. Gelfand М. И. Граев A. M. Verťik
+	REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS	1975	Анатолий Моисеевич Вершик I. M. Gel'fand М. И. Граев
+	Square roots of the quasi-regular representation of the group SL(2, K)	1975	I. M. Gel'fand М. И. Граев
+	Irreducible representations of the group GX and cohomologifs	1974	A. M. Vershik I. M. Gel'fand М. И. Граев
+	REPRESENTATIONS OF THE GROUP SL(2,<b>R</b>), WHERE<b>R</b>IS A RING OF FUNCTIONS	1973	Анатолий Моисеевич Вершик I. M. Gel'fand М. И. Граев
+	Homogeneous generalized functions in a vector space over a local non-Archimedean field which are related to a quadratic form	1973	М. И. Граев R. I. Prokhorova
+	Integral geometry in projective space	1970	I. M. Gel'fand М. И. Граев Z. Ya. Shapiro
+	Differential forms and integral geometry	1969	I. M. Gel'fand М. И. Граев Z. Ya. Shapiro
+	Representation theory and automorphic functions	1969	М. И. Граев Ilya Piatetski-Shapiro I. M. Gel'fand K. A. Hirsch
+	Complexes of straight lines in the space Cn	1969	I. M. Gel'fand М. И. Граев
+	IRREDUCIBLE REPRESENTATION OF LIE GROUP ALGEBRA U(p,q). (DESCRIPTION OF DISCREET CONCEPT SERIES).	1968	I. Gel′fand М. И. Граев
+	Representations of quaternion groups over locally compact and functional fields	1968	I. M. Gel'fand М. И. Граев
+	Thirteen Papers on Group Theory, Algebraic Geometry and Algebraic Topology	1968	Anatoli Andrianov V A Dem'janenko S. Demuškin Nikolaj Vladimirovich. Efimov Norman Feldman М. И. Граев S. Juzvinskiĭ A. Kostrikin A. Lapin S. P. Novikov
+	Generalized Functions. Volume 5: Integral Geometry and Representation Theory	1967	I. M. Gel'fand М. И. Граев N. Ya. Vilenkin
+	Integral geometry on k-dimensional planes	1967	I. M. Gel'fand М. И. Граев Z. Ya. Shapiro
+	Integral Geometry and Representation Theory	1966	I. M. Gel'fand N. Ya. Vilenkin М. И. Граев
+	HARMONIC ANALYSIS ON SPACES HOMOGENEOUS WITH RESPECT TO THE LORENTZ GROUP	1966	I. M. Gel'fand М. И. Граев N. Ya. Vilenkin
+	INTEGRAL GEOMETRY IN A SPACE OF CONSTANT CURVATURE	1966	Israel M. Gelfand М. И. Граев N. Ya. Vilenkin
+	INTEGRAL TRANSFORMS IN THE COMPLEX DOMAIN	1966	I. M. Gel'fand М. И. Граев N. Ya. Vilenkin
+	RADON TRANSFORM OF TEST FUNCTIONS AND GENERALIZED FUNCTIONS ON A REAL AFFINE SPACE	1966	I. M. Gel'fand М. И. Граев N. Ya. Vilenkin
+	REPRESENTATIONS OF THE GROUP OF COMPLEX UNIMODULAR MATRICES IN TWO DIMENSIONS	1966	I. Gel′fand М. И. Граев N. Ya. Vilenkin
+	Twenty-Two Papers on Algebra, Number Theory and Differential Geometry	1964	M Š Calenko G. V. Dorofeev I. M. Gel'fand M. Gel′fand М. И. Граев Ku Chao-hao L. D. Kudrjavcev V. A. Kurbatov G. Laptev Ju. Linnik

Common Coauthors

Coauthor	Papers Together
I. M. Gel'fand	40
A. M. Vershik	15
Анатолий Моисеевич Вершик	15
N. Ya. Vilenkin	11
Vladimir Retakh	7
Israel M. Gelfand	7
Simon Gindikin	6
I. Gel′fand	4
Z. Ya. Shapiro	3
I. I. Pyatetskii-Shapiro	3
G. L. Litvinov	2
С. В. Кольцова	1
R. Rosu	1
Ju I Manin	1
Ju. Linnik	1
Ilya Piatetski-Shapiro	1
V. Šneĭdmjuller	1
V. Toponogov	1
R. Vol′vačev	1
A. Kostrikin	1
A. Lapin	1
Norman Feldman	1
A. M. Veršik	1
S. Juzvinskiĭ	1
L. Ljusternik	1
T. Tuškina	1
A. V. Koganov	1
I. R. Šafarevič	1
Ku Chao-hao	1
I. Gel′fand	1
R. I. Prokhorova	1
S. Demuškin	1
Yüan Wang	1
V. A. Kurbatov	1
Alexander Postnikov	1
В. П. Платонов	1
Anatoli Andrianov	1
K. A. Hirsch	1
V A Dem'janenko	1
G. Laptev	1
S. P. Novikov	1
M Š Calenko	1
L. D. Kudrjavcev	1
Nikolaj Vladimirovich. Efimov	1
G. V. Dorofeev	1
M. Gel′fand	1
A. M. Verťik	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Irreducible representations of the group GX and cohomologifs	1974	A. M. Vershik I. M. Gel'fand М. И. Граев	18
+	COHOMOLOGY OF GROUPS IN UNITARY REPRESENTATIONS, THE NEIGHBORHOOD OF THE IDENTITY, AND CONDITIONALLY POSITIVE DEFINITE FUNCTIONS	1984	Анатолий Моисеевич Вершик S. I. Karpushev	16
+ PDF	Factorizable representation of current algebra. Non commutative extension of the Lévy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space	1969	Huzihiro Araki	14
+	REPRESENTATIONS OF THE GROUP SL(2,<b>R</b>), WHERE<b>R</b>IS A RING OF FUNCTIONS	1973	Анатолий Моисеевич Вершик I. M. Gel'fand М. И. Граев	14
+	The basic representation of the current group O(n,1)X in the L2 space over the generalized Lebesgue measure	2005	М. И. Граев A. M. Vershik	14
+	Representations of Infinite-Dimensional Groups	1996	R. Ismagilov	13
+	An Infinite-Dimensional Analogue of the Lebesgue Measure and Distinguished Properties of the Gamma Process	2001	Н. В. Цилевич A. M. Vershik Marc Yor	12
+ PDF	1-cohomologie des représentations unitaires des groupes de Lie semi-simples et résolubles. Produits tensoriels continus de représentations	1977	Patrick Delorme	10
+	Invariant measures for the continual Cartan subgroup	2008	A. M. Vershik	9
+ PDF	Positive Definite Kernels, Continuous Tensor Products, and Central Limit Theorems of Probability Theory	1972	K. R. Parthasarathy K. W. Schmidt	9
+ PDF	Symmetric Hilbert Spaces and Related Topics	1972	Alain Guichardet	9
+ PDF Chat	Fock factorizations, and decompositions of the<i>L</i><sup>2</sup>spaces over general Lévy processes	2003	A. M. Vershik Н. В. Цилевич	8
+	Integral models of representations of current groups	2008	Анатолий Моисеевич Вершик М. И. Граев	8
+	Representations of Lie Groups and Lie Algebras	1985	B. L. van der Waerden	8
+ PDF	The Poisson model of the Fock space and representations of current groups	2012	Анатолий Моисеевич Вершик М. И. Граев	8
+	Structure of the complementary series and special representations of the groups<i>O</i>(<i>n</i>,1) and<i>U</i>(<i>n</i>,1)	2006	A. M. Vershik М. И. Граев	8
+	None	2003	Gabriella Kuhn Анатолий Моисеевич Вершик	7
+	Does there exist a lebesgue measure in the infinite-dimensional space?	2007	A. M. Vershik	7
+	A Commutative Model of a Representation of the Group O(n, 1)X and a Generalized Lebesgue Measure in the Space of Distributions	2005	М. И. Граев A. M. Vershik	7
+ PDF Chat	Rigidity, Unitary Representations of Semisimple Groups, and Fundamental Groups of Manifolds with Rank One Transformation Group	2000	Yehuda Shalom	6
+ PDF Chat	The behavior of the Laplace transform of the invariant measure on the hypersphere of high dimension	2008	A. M. Vershik	6
+ PDF	Структура дополнительных серий и особых представлений групп $O(n,1)$ и $U(n,1)$	2006	Анатолий Моисеевич Вершик Анатолий Моисеевич Вершик М. И. Граев М. И. Граев	6
+ PDF	On quasi-hypergeometric functions	1999	Kazuhiko Aomoto Kazumoto Iguchi	6
+	A commutative model of representation of the group of flows SL(2, R)X that is connected with a unipotent subgroup	1983	A. M. Vershik I. M. Gel'fand М. И. Граев	6
+	Representation theory and automorphic functions	1969	М. И. Граев Ilya Piatetski-Shapiro I. M. Gel'fand K. A. Hirsch	6
+ PDF	Коммутативная модель представления группы $O(n,1)^X$ и обобщенная лебегова мера в пространстве распределений	2005	Анатолий Моисеевич Вершик Анатолий Моисеевич Вершик Анатолий Моисеевич Вершик Анатолий Моисеевич Вершик М. И. Граев М. И. Граев	5
+	Integral models of representations of the current groups of simple Lie groups	2009	Анатолий Моисеевич Вершик М. И. Граев	5
+ PDF Chat	Integral models of unitary representations of current groups with values in semidirect products	2008	A. M. Vershik М. И. Граев	5
+	Spherical functions and characters on the group<i>U</i>(∞)<sup><i>X</i></sup>	1982	Grigori Olshanski	5
+	REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS	1975	Анатолий Моисеевич Вершик I. M. Gel'fand М. И. Граев	5
+	General hypergeometric functions on complex Grassmannians	1987	V. A. Vasil’ev I. M. Gel'fand A. V. Zelevinskii	5
+ PDF	$GG$-функции и их связь с общими гипергеометрическими функциями	1997	I. M. Gel'fand I. M. Gel'fand М. И. Граев М. И. Граев	4
+ PDF Chat	Cohomology in nonunitary representations of semisimple Lie groups (the group U(2, 2))	2014	A. M. Vershik М. И. Граев	4
+	Special representations of the groups U(∞, 1) and O(∞, 1) and the associated representations of the current groups U(∞, 1) X and O(∞, 1) X in quasi-poisson spaces	2012	Анатолий Моисеевич Вершик М. И. Граев	4
+ PDF	Factorisable representations of current groups and the Araki-Woods imbedding theorem	1972	K. R. Parthasarathy K. Schmidt	4
+ PDF	Formules de Picard-Lefschetz généralisées et ramification des intégrales	1965	Frédéric Pham	4
+	Hypergeometric functions and toral manifolds	1989	I. M. Gel'fand A. V. Zelevinskii Mikhail Kapranov	4
+	Cohomologie des groupes topologiques et des algèbres de Lie	1980	Alain Guichardet	4
+	Integral Geometry and Representation Theory	1966	I. M. Gel'fand N. Ya. Vilenkin М. И. Граев	4
+	Examples of Nonlinear Continuous Tensor Products of Measure Spaces and Non-Fock Factorizations	1998	Boris Tsirelson A. M. Vershik	4
+	General hypergeometric systems of equations and series of hypergeometric type	1992	I. M. Gel'fand М. И. Граев Vladimir Retakh	4
+	Representations of the group of smooth mappings of a manifold X into a compact Lie group	1977	Israel M. Gelfand М. И. Граев A. M. Verťik	3
+	Irreductibilité de certaines représentations de G(x)	1978	Patrick Delorme	3
+	Representations of the group of functions taking values in a compact Lie group	1980	Israel M. Gelfand М. И. Граев A. M. Veršik	3
+	On the Structure of Integrals of Power Product of Linear Functions	1977	Kazuhiko Aomoto	3
+	HYPERGEOMETRIC FUNCTIONS ASSOCIATED WITH THE GRASSMANNIAN<i>G</i><sub>3,6</sub>	1990	I. M. Gel'fand М. И. Граев	3
+	Hypergeometric Functions, Toric Varieties and Newton Polyhedra	1991	I. M. Gel'fand Mikhail Kapranov Andrei Zelevinsky	3
+	Combinatorial geometries and torus strata on homogeneous compact manifolds	1987	Israel M. Gelfand Vera Serganova	3
+	Canonical representations on the two-sheeted hyperboloid	2005	V. F. Molchanov	3
+	Canonical Representations and Overgroups for Hyperboloids	2005	V. F. Molchanov	3