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## Molchanov, Vladimir Fedorovich

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 Author ID: molchanov.vladimir-f Published as: Molchanov, V. F.; Molchanov, Vladimir F.; Molchanov, Vladimir Fedorovich External Links: MGP · ResearchGate · Math-Net.Ru
 Documents Indexed: 72 Publications since 1966 Reviewing Activity: 109 Reviews Biographic References: 1 Publication
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#### Co-Authors

 64 single-authored 3 Kirillov, Alexandre Aleksandrovich 3 Neretin, Yuriĭ Aleksandrovich 3 van Dijk, Gerrit 3 Vershik, Anatoliĭ Moiseevich 1 Borodin, Alexei 1 Bufetov, Aleksandr Igorevich 1 Bufetov, Alekseĭ Igor’evich 1 Gel’fand, Israil’ Moiseevich 1 Gindikin, Simon Grigorevich 1 Gorin, V. E. 1 Grosheva, L. I. 1 Ismagilov, Rais Sal’manovich 1 Khoroshkin, Sergey M. 1 Litvinov, Grigory Lazarevich 1 Molev, Alexander I. 1 Nazarov, Maxim Leonidovich 1 Nessonov, Nikolai I. 1 Okun’kov, Andreĭ Yur’evich 1 Ol’shanskiĭ, Grigoriĭ Iosifovich 1 Petrov, Leonid 1 Retakh, Vladimir Solomonovich 1 Ryzhikov, Valeriĭ Valentinovich 1 Shkalikov, Andreĭ Andreevich 1 Tikhomirov, Vladimir Mikhaĭlovich 1 Volotova, N. B.
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#### Serials

 6 Functional Analysis and its Applications 5 Soviet Mathematics. Doklady 5 Acta Applicandae Mathematicae 4 Russian Mathematical Surveys 3 Siberian Mathematical Journal 3 Sibirskiĭ Matematicheskiĭ Zhurnal 3 Mathematics of the USSR, Sbornik 3 Funktsional’nyĭ Analiz 2 Mathematical Notes 2 Teoreticheskaya i Matematicheskaya Fizika 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Fluid Dynamics 1 Journal of Applied Mathematics and Mechanics 1 Matematicheskie Zametki 1 Theoretical and Mathematical Physics 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematics of the USSR. Izvestiya 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Indagationes Mathematicae. New Series 1 Zapiski Nauchnykh Seminarov POMI 1 Sbornik: Mathematics 1 Algebras and Representation Theory 1 Lobachevskii Journal of Mathematics 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Proceedings of the Steklov Institute of Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
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#### Fields

 46 Topological groups, Lie groups (22-XX) 39 Abstract harmonic analysis (43-XX) 13 Differential geometry (53-XX) 8 Group theory and generalizations (20-XX) 4 Special functions (33-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 133 times in 68 Documents Cited by Year
Tensor products of maximal degenerate series representations of the group $$SL(n,\mathbb{R})$$. Zbl 0919.43010
Van Dijk, G.; Molchanov, V. F.
1999
Tensor products of unitary representations of the three-dimensional Lorentz group. Zbl 0448.22010
Molchanov, V. F.
1980
Spherical functions on hyperboloids. Zbl 0368.33008
Molchanov, V. F.
1978
Quantization on para-Hermitian symmetric spaces. Zbl 0879.53040
Molchanov, V. F.
1996
Harmonic analysis on a hyperboloid of one sheet. Zbl 0176.44303
Molchanov, V. F.
1966
Analogue of the Plancherel formula for hyperboloids. Zbl 0176.44304
Molchanov, V. F.
1968
Canonical representations and overgroups for hyperboloids. Zbl 1116.43007
Molchanov, V. F.
2005
The Berezin form for rank one para-Hermitian symmetric spaces. Zbl 0919.43007
van Dijk, G.; Molchanov, V. F.
1998
Darstellungen einer pseudoorthogonalen Gruppe, die mit einem Kegel verbunden sind. Zbl 0219.22015
Molchanov, V. F.
1971
Canonical representations on Lobachevsky spaces: An interaction with an overalgebra. Zbl 1134.43002
Molchanov, V. F.
2007
Canonical representations and overgroups. Zbl 1052.43014
Molchanov, V. F.
2003
Canonical representations and overgroups for hyperboloids of one sheet and Lobachevsky spaces. Zbl 1101.43006
Molchanov, V. F.
2005
Plancherel formula for the pseudo-Riemannian space SL(3,R)/GL(2,R). Zbl 0515.22012
Molchanov, V. F.
1982
Quantization on the imaginary Lobachevskii plane. Zbl 0455.53010
Molchanov, V. F.
1980
Harmonic analysis on homogeneous spaces. Zbl 0818.43001
Molchanov, V. F.
1990
Poisson and Fourier transforms for tensor products. Zbl 1342.22024
Molchanov, V. F.
2015
Plancherel’s formula for hyperboloids. Zbl 0439.22018
Molchanov, V. F.
1980
Holomorphic discrete series for hyperboloids of Hermitian type. Zbl 0881.43005
1997
Maximal degenerate series representations of the universal covering of the group $$SU(n,n)$$. Zbl 0899.22013
Molchanov, V. F.
1998
The restriction of a representation of the complementary series of a pseudo-orthogonal group to a pseudo-orthogonal group of lower dimension. Zbl 0406.22011
Molchanov, V. F.
1977
Decomposition of a tensor square of a representation of the supplementary series of the unimodular group of real matrices of second order. Zbl 0411.20022
Molchanov, V. F.
1977
Poincaré polynomials of representations of finite groups generated by reflections. Zbl 0534.20029
Molchanov, V. F.
1982
Plancherel formula for the pseudoriemannian space SL(3,R)/GL(2,R). Zbl 0535.22013
Molchanov, V. F.
1983
The Plancherel formula for the tangent bundle of a projective space. Zbl 0493.43005
Molchanov, V. F.
1981
Polynomial quantization on rank one para-Hermitian symmetric spaces. Zbl 1048.43009
Molchanov, V. F.; Volotova, N. B.
2004
Separation of series for hyperboloids. Zbl 0924.43011
Molchanov, V. F.
1997
Canonical representations on the two-sheeted hyperboloid. Zbl 1107.43009
Molchanov, V. F.
2005
Canonical representations for hyperboloids: an interaction with an overalgebra. Zbl 1371.43009
2016
Harmonic analysis on homogeneous spaces. Zbl 0741.43001
Molchanov, V. F.
1990
Reduction of representations of the complementary series of the 2+3 de Sitter group with respect to the Lorentz group. Zbl 0412.22010
Molchanov, V. F.
1979
Reduction of representations of the supplementary series of the de Sitter group 2+3 with respect to the Lorentz group. Zbl 0392.22005
Molchanov, V. F.
1978
On the Poincaré series of representations of finite reflection groups. Zbl 0795.20031
Molchanov, V. F.
1992
Canonical and boundary representations on the Lobachevsky plane. Zbl 1020.43006
Molchanov, V. F.; Grosheva, L. I.
2002
Canonical and boundary representations on a hyperboloid of one sheet. Zbl 1048.43008
Molchanov, V. F.
2004
The Plancherel formula for pseudo-Riemannian symmetric spaces of the universal covering group of SL(2,$${\mathbb{R}})$$. Zbl 0575.43006
Molchanov, V. F.
1984
Poisson and Fourier transforms for tensor products and an overalgebra. Zbl 1341.22010
2015
Canonical representations for hyperboloids: an interaction with an overalgebra. Zbl 1371.43009
2016
Poisson and Fourier transforms for tensor products. Zbl 1342.22024
Molchanov, V. F.
2015
Poisson and Fourier transforms for tensor products and an overalgebra. Zbl 1341.22010
2015
Canonical representations on Lobachevsky spaces: An interaction with an overalgebra. Zbl 1134.43002
Molchanov, V. F.
2007
Canonical representations and overgroups for hyperboloids. Zbl 1116.43007
Molchanov, V. F.
2005
Canonical representations and overgroups for hyperboloids of one sheet and Lobachevsky spaces. Zbl 1101.43006
Molchanov, V. F.
2005
Canonical representations on the two-sheeted hyperboloid. Zbl 1107.43009
Molchanov, V. F.
2005
Polynomial quantization on rank one para-Hermitian symmetric spaces. Zbl 1048.43009
Molchanov, V. F.; Volotova, N. B.
2004
Canonical and boundary representations on a hyperboloid of one sheet. Zbl 1048.43008
Molchanov, V. F.
2004
Canonical representations and overgroups. Zbl 1052.43014
Molchanov, V. F.
2003
Canonical and boundary representations on the Lobachevsky plane. Zbl 1020.43006
Molchanov, V. F.; Grosheva, L. I.
2002
Tensor products of maximal degenerate series representations of the group $$SL(n,\mathbb{R})$$. Zbl 0919.43010
Van Dijk, G.; Molchanov, V. F.
1999
The Berezin form for rank one para-Hermitian symmetric spaces. Zbl 0919.43007
van Dijk, G.; Molchanov, V. F.
1998
Maximal degenerate series representations of the universal covering of the group $$SU(n,n)$$. Zbl 0899.22013
Molchanov, V. F.
1998
Holomorphic discrete series for hyperboloids of Hermitian type. Zbl 0881.43005
1997
Separation of series for hyperboloids. Zbl 0924.43011
Molchanov, V. F.
1997
Quantization on para-Hermitian symmetric spaces. Zbl 0879.53040
Molchanov, V. F.
1996
On the Poincaré series of representations of finite reflection groups. Zbl 0795.20031
Molchanov, V. F.
1992
Harmonic analysis on homogeneous spaces. Zbl 0818.43001
Molchanov, V. F.
1990
Harmonic analysis on homogeneous spaces. Zbl 0741.43001
Molchanov, V. F.
1990
The Plancherel formula for pseudo-Riemannian symmetric spaces of the universal covering group of SL(2,$${\mathbb{R}})$$. Zbl 0575.43006
Molchanov, V. F.
1984
Plancherel formula for the pseudoriemannian space SL(3,R)/GL(2,R). Zbl 0535.22013
Molchanov, V. F.
1983
Plancherel formula for the pseudo-Riemannian space SL(3,R)/GL(2,R). Zbl 0515.22012
Molchanov, V. F.
1982
Poincaré polynomials of representations of finite groups generated by reflections. Zbl 0534.20029
Molchanov, V. F.
1982
The Plancherel formula for the tangent bundle of a projective space. Zbl 0493.43005
Molchanov, V. F.
1981
Tensor products of unitary representations of the three-dimensional Lorentz group. Zbl 0448.22010
Molchanov, V. F.
1980
Quantization on the imaginary Lobachevskii plane. Zbl 0455.53010
Molchanov, V. F.
1980
Plancherel’s formula for hyperboloids. Zbl 0439.22018
Molchanov, V. F.
1980
Reduction of representations of the complementary series of the 2+3 de Sitter group with respect to the Lorentz group. Zbl 0412.22010
Molchanov, V. F.
1979
Spherical functions on hyperboloids. Zbl 0368.33008
Molchanov, V. F.
1978
Reduction of representations of the supplementary series of the de Sitter group 2+3 with respect to the Lorentz group. Zbl 0392.22005
Molchanov, V. F.
1978
The restriction of a representation of the complementary series of a pseudo-orthogonal group to a pseudo-orthogonal group of lower dimension. Zbl 0406.22011
Molchanov, V. F.
1977
Decomposition of a tensor square of a representation of the supplementary series of the unimodular group of real matrices of second order. Zbl 0411.20022
Molchanov, V. F.
1977
Darstellungen einer pseudoorthogonalen Gruppe, die mit einem Kegel verbunden sind. Zbl 0219.22015
Molchanov, V. F.
1971
Analogue of the Plancherel formula for hyperboloids. Zbl 0176.44304
Molchanov, V. F.
1968
Harmonic analysis on a hyperboloid of one sheet. Zbl 0176.44303
Molchanov, V. F.
1966
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#### Cited by 52 Authors

 12 Molchanov, Vladimir Fedorovich 9 Neretin, Yuriĭ Aleksandrovich 8 Pevzner, Michael 8 van Dijk, Gerrit 2 Clerc, Jean-Louis 2 Kerimov, G. A. 2 Kobayashi, Toshiyuki 2 Moschella, Ugo 2 Ólafsson, Gestur 2 Ørsted, Bent 2 Poel, Mannes 2 Rubin, Boris 2 Strichartz, Robert S. 1 Artemov, Aleksandr Andreevich 1 Baran, S. A. 1 Barata, João C. A. 1 Beckmann, Ralf 1 Ben Saïd, Salem 1 Bertram, Wolfgang 1 Betten, Frank 1 Brum, Marcos 1 Choi, Junesang 1 Epstein, Henri 1 Faraut, Jacques 1 Foster-Greenwood, Briana 1 Frahm, Jan 1 Graev, Mark Iosifovich 1 He, Hongyu 1 Hilgert, Joachim 1 Hoffmann, Werner 1 Howe, Roger Evans 1 Ismagilov, Rais Sal’manovich 1 Kable, Anthony C. 1 Kosters, M. T. 1 Kriloff, Cathy 1 Mehdi, Salah 1 Ochiai, Hiroyuki 1 Ol’shanskiĭ, Grigoriĭ Iosifovich 1 Pasquale, Angela 1 Renteln, Paul 1 Sanat, Nilabh 1 Schwarz, Benjamin 1 Sergienko, Ivan Vasylyovych 1 Shilin, Il’ya Anatol’evich 1 Shintani, Takuro 1 Shitikov, I. I. 1 Sinel’shchikov, Sergey D. 1 Tan, Eng-Chye 1 Unterberger, André 1 Vershik, Anatoliĭ Moiseevich 1 Zhang, Genkai 1 Zhelobenko, Dmitry Petrovich
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#### Cited in 43 Serials

 7 Journal of Functional Analysis 6 Functional Analysis and its Applications 4 Indagationes Mathematicae. New Series 3 Siberian Mathematical Journal 2 Journal of Mathematical Physics 2 Annales de l’Institut Fourier 2 Compositio Mathematica 2 The Journal of Geometric Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Mathematical Sciences (New York) 2 Selecta Mathematica. New Series 2 Algebras and Representation Theory 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Letters in Mathematical Physics 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Bulletin de la Société Mathématique de France 1 Journal of Algebra 1 Journal of Differential Equations 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Differential Geometry and its Applications 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Cybernetics and Systems Analysis 1 Journal of Algebraic Combinatorics 1 St. Petersburg Mathematical Journal 1 The Journal of Fourier Analysis and Applications 1 Doklady Mathematics 1 The Ramanujan Journal 1 Physical Review Letters 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Japan Academy 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics
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#### Cited in 22 Fields

 47 Topological groups, Lie groups (22-XX) 38 Abstract harmonic analysis (43-XX) 11 Differential geometry (53-XX) 9 Quantum theory (81-XX) 7 Group theory and generalizations (20-XX) 4 Nonassociative rings and algebras (17-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Number theory (11-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Operator theory (47-XX) 2 Combinatorics (05-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX)