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## Karabegov, Alexander V.

Compute Distance To:
 Author ID: karabegov.alexander-v Published as: Karabegov, A. V.; Karabegov, Alexander; Karabegov, Alexander V.
 Documents Indexed: 40 Publications since 1985
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#### Co-Authors

 34 single-authored 2 Neretin, Yuriĭ Aleksandrovich 2 Schlichenmaier, Martin 2 Voronov, Theodore 1 Agranovich, Mikhail Semënovich 1 Aĭzenberg, Lev Abramovich 1 Alfimov, Georgiĭ Leonidovich 1 Comech, Andrew 1 Gindikin, Simon Grigorevich 1 Holland, Jason 1 Ismagilov, Rais Sal’manovich 1 Karasev, Mikhail Vladimirovich 1 Maslov, Viktor Pavlovich 1 Nessonov, Nikolai I. 1 Ol’shanskiĭ, Grigoriĭ Iosifovich 1 Pukhnachov, Vladislav Vasil’evich 1 Shubin, Mikhail Aleksandrovich 1 Tamarkin, Dmitry E. 1 Tarkhanov, Nikolai N. 1 Tsygan, B. L. 1 Vishik, Marko Iosifovich
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#### Serials

 10 Letters in Mathematical Physics 6 Functional Analysis and its Applications 5 Communications in Mathematical Physics 5 Journal of Geometry and Physics 3 Russian Mathematical Surveys 2 Akademiya Nauk Armyanskoĭ SSR. Doklady 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Journal für die Reine und Angewandte Mathematik 1 Transactions of the American Mathematical Society 1 The College Mathematics Journal
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#### Fields

 32 Differential geometry (53-XX) 13 Quantum theory (81-XX) 9 Topological groups, Lie groups (22-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

26 Publications have been cited 225 times in 106 Documents Cited by Year
Deformation quantizations with separation of variables on a Kähler manifold. Zbl 0866.58037
Karabegov, Alexander V.
1996
Identification of Berezin-Toeplitz deformation quantization. Zbl 0997.53067
Karabegov, A. V.; Schlichenmaier, M.
2001
On the canonical normalization of a trace density of deformation quantization. Zbl 0943.53052
Karabegov, A. V.
1998
Cohomological classification of deformation quantizations with separation of variables. Zbl 0938.53049
Karabegov, A. V.
1998
Almost-Kähler deformation quantization. Zbl 1044.53061
Karabegov, Alexander V.; Schlichenmaier, Martin
2001
Formal symplectic groupoid of a deformation quantization. Zbl 1087.53079
Karabegov, Alexander V.
2005
On the deformation quantization, on a Kähler manifold, associated with a Berzin quantization. Zbl 0869.53045
Karabegov, A. V.
1996
An invariant formula for a star product with separation of variables. Zbl 1250.53080
Karabegov, Alexander
2012
On the dequantization of Fedosov’s deformation quantization. Zbl 1038.53091
Karabegov, Alexander V.
2003
On Fedosov’s approach to deformation quantization with separation of variables. Zbl 0988.53042
Karabegov, Alexander V.
2000
Pseudo-Kähler quantization on flag manifolds. Zbl 0932.37070
Karabegov, Alexander V.
1999
A formal model of Berezin-Toeplitz quantization. Zbl 1134.53048
Karabegov, Alexander V.
2007
Berezin’s quantization on flag manifolds and spherical modules. Zbl 0896.58032
Karabegov, Alexander V.
1998
On Gammelgaard’s formula for a star product with separation of variables. Zbl 1271.53081
Karabegov, Alexander
2013
A covariant Poisson deformation quantization with separation of variables up to the third order. Zbl 1028.53084
Karabegov, Alexander
2002
On the phase form of a deformation quantization with separation of variables. Zbl 1337.53102
Karabegov, Alexander
2016
Felix Alexandrovich Berezin and his work. Zbl 1271.01035
Karabegov, Alexander; Neretin, Yuri; Voronov, Theodore
2013
A mapping from the unitary to doubly stochastic matrices and symbols on a finite set. Zbl 1167.15017
Karabegov, Alexander V.
2008
Deformation quantization of a Kähler-Poisson structure vanishing on a Levi nondegenerate hypersurface. Zbl 1151.53077
Karabegov, Alexander V.
2008
Formal oscillatory integrals and deformation quantization. Zbl 1421.53087
Karabegov, Alexander
2019
Deformation quantization with separation of variables on a super-Kähler manifold. Zbl 1359.53073
Karabegov, Alexander
2017
Deformation quantization with separation of variables of an endomorphism bundle. Zbl 1282.53078
Karabegov, Alexander
2014
Star products with separation of variables admitting a smooth extension. Zbl 1258.53093
Karabegov, Alexander
2012
On the inverse mapping of the formal symplectic groupoid of a deformation quantization. Zbl 1067.53077
Karabegov, Alexander V.
2004
Strict deformation quantization on a pseudo-Kähler orbit of a compact Lie group. Zbl 0932.37071
Karabegov, A. V.
1998
Generalized operator-valued $$pq$$-symbols and geometric quantization. Zbl 0848.58028
Karabegov, A. V.
1995
Formal oscillatory integrals and deformation quantization. Zbl 1421.53087
Karabegov, Alexander
2019
Deformation quantization with separation of variables on a super-Kähler manifold. Zbl 1359.53073
Karabegov, Alexander
2017
On the phase form of a deformation quantization with separation of variables. Zbl 1337.53102
Karabegov, Alexander
2016
Deformation quantization with separation of variables of an endomorphism bundle. Zbl 1282.53078
Karabegov, Alexander
2014
On Gammelgaard’s formula for a star product with separation of variables. Zbl 1271.53081
Karabegov, Alexander
2013
Felix Alexandrovich Berezin and his work. Zbl 1271.01035
Karabegov, Alexander; Neretin, Yuri; Voronov, Theodore
2013
An invariant formula for a star product with separation of variables. Zbl 1250.53080
Karabegov, Alexander
2012
Star products with separation of variables admitting a smooth extension. Zbl 1258.53093
Karabegov, Alexander
2012
A mapping from the unitary to doubly stochastic matrices and symbols on a finite set. Zbl 1167.15017
Karabegov, Alexander V.
2008
Deformation quantization of a Kähler-Poisson structure vanishing on a Levi nondegenerate hypersurface. Zbl 1151.53077
Karabegov, Alexander V.
2008
A formal model of Berezin-Toeplitz quantization. Zbl 1134.53048
Karabegov, Alexander V.
2007
Formal symplectic groupoid of a deformation quantization. Zbl 1087.53079
Karabegov, Alexander V.
2005
On the inverse mapping of the formal symplectic groupoid of a deformation quantization. Zbl 1067.53077
Karabegov, Alexander V.
2004
On the dequantization of Fedosov’s deformation quantization. Zbl 1038.53091
Karabegov, Alexander V.
2003
A covariant Poisson deformation quantization with separation of variables up to the third order. Zbl 1028.53084
Karabegov, Alexander
2002
Identification of Berezin-Toeplitz deformation quantization. Zbl 0997.53067
Karabegov, A. V.; Schlichenmaier, M.
2001
Almost-Kähler deformation quantization. Zbl 1044.53061
Karabegov, Alexander V.; Schlichenmaier, Martin
2001
On Fedosov’s approach to deformation quantization with separation of variables. Zbl 0988.53042
Karabegov, Alexander V.
2000
Pseudo-Kähler quantization on flag manifolds. Zbl 0932.37070
Karabegov, Alexander V.
1999
On the canonical normalization of a trace density of deformation quantization. Zbl 0943.53052
Karabegov, A. V.
1998
Cohomological classification of deformation quantizations with separation of variables. Zbl 0938.53049
Karabegov, A. V.
1998
Berezin’s quantization on flag manifolds and spherical modules. Zbl 0896.58032
Karabegov, Alexander V.
1998
Strict deformation quantization on a pseudo-Kähler orbit of a compact Lie group. Zbl 0932.37071
Karabegov, A. V.
1998
Deformation quantizations with separation of variables on a Kähler manifold. Zbl 0866.58037
Karabegov, Alexander V.
1996
On the deformation quantization, on a Kähler manifold, associated with a Berzin quantization. Zbl 0869.53045
Karabegov, A. V.
1996
Generalized operator-valued $$pq$$-symbols and geometric quantization. Zbl 0848.58028
Karabegov, A. V.
1995
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#### Cited by 106 Authors

 15 Karabegov, Alexander V. 8 Vacaru, Sergiu Ion 8 Waldmann, Stefan 7 Engliš, Miroslav 7 Sako, Akifumi 7 Xu, Hao 5 Andersen, Jørgen Ellegaard 5 Umetsu, Hiroshi 4 Gutt, Simone 3 Ali, Syed Twareque 3 Dherin, Benoit 3 Lyakhovich, Simon L. 3 Neumaier, Nikolai 3 Schlichenmaier, Martin 3 Sharapov, Alexey A. 3 Suzuki, Toshiya 2 Barron, Tatyana 2 Cattaneo, Alberto Sergio 2 Esposito, Chiara 2 Felder, Giovanni 2 Hara, Kentaro 2 Jahn, Jiří 2 Ma, Xiaonan 2 Marinescu, George 2 Paoletti, Roberto 2 Rawnsley, John H. 1 Al-Shujary, Ahmed 1 Anastasiei, Mihai 1 Andersson, Ole 1 Arezzo, Claudio 1 Arnlind, Joakim 1 Băleanu, Dumitru I. 1 Beiser, Svea 1 Ben Halima, Majdi 1 Bengtsson, Ingemar 1 Berman, Robert J. 1 Bieliavsky, Pierre 1 Biswas, Indranil 1 Blaschke, Petr 1 Bonneau, Philippe 1 Bordemann, Martin 1 Cacciatori, Sergio Luigi 1 Camosso, Simone 1 Carrillo-Ibarra, Iliana 1 Chan, Kwokwai 1 Dalla Piazza, F. 1 Della Vedova, Alberto 1 Dey, Rukmini 1 Dolan, Brian P. 1 Dolgushev, Vasily A. 1 Donin, Joseph 1 Falk, Kévin 1 Gammelgaard, Niels Leth 1 García-Compeán, Hugo 1 Gerstenhaber, Murray 1 Giaquinto, Anthony 1 Gorbunov, I. V. 1 Herrera-Suárez, W. 1 Iochum, Bruno 1 Ioos, Louis 1 Isidro San Juan, José-Maria 1 Itkin, David 1 Jahn, Oliver 1 Kaminker, Victoria 1 Karasev, Mikhail Vladimirovich 1 La Fuente Gravy, Laurent 1 Leichtnam, Eric 1 Leung, Naichung Conan 1 Li, Qin 1 Loi, Andrea 1 Luu, Martin T. 1 Maeda, Yoshiaki 1 Malusà, Alessandro 1 Marrani, Alessio 1 Masuda, Takuya 1 Masulli, Paolo 1 Matsubara, Keizo 1 Müller-Bahns, Michael F. 1 Nguon, Donara 1 Noja, Simone 1 Nonnenmacher, Stéphane 1 Petersen, William Elbæk 1 Pol’shin, Semen Aleksandrovich 1 Polterovich, Leonid Viktorovich 1 Re, Riccardo 1 Roche, Philippe 1 Römer, Hartmann 1 Schätz, Florian 1 Schmitt, Philipp 1 Schnitzer, Jonas 1 Schwarz, Albert S. 1 Serajelahi, Baran 1 Shemyakova, Ekaterina 1 Shmoish, Dor 1 Sjöstrand, Johannes 1 Stenmark, Mårten 1 Sternheimer, Daniel 1 Szenes, András 1 Tadej, Wojciech 1 Tang, Xiang ...and 6 more Authors
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#### Cited in 41 Serials

 19 Journal of Geometry and Physics 12 Journal of Mathematical Physics 12 Letters in Mathematical Physics 10 Communications in Mathematical Physics 4 Advances in Mathematics 4 International Journal of Geometric Methods in Modern Physics 3 Nuclear Physics. B 3 Reviews in Mathematical Physics 2 Reports on Mathematical Physics 2 Transactions of the American Mathematical Society 2 Annals of Global Analysis and Geometry 2 The Journal of Geometric Analysis 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 General Relativity and Gravitation 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Forum Mathematicum 1 Differential Geometry and its Applications 1 Linear Algebra and its Applications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Advances in Applied Clifford Algebras 1 Integral Transforms and Special Functions 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 1 Journal of Nonlinear Mathematical Physics 1 Journal of Noncommutative Geometry 1 Advances in Mathematical Physics 1 Quantum Topology 1 Analysis and Mathematical Physics 1 Complex Manifolds 1 Annales Henri Lebesgue
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#### Cited in 24 Fields

 83 Differential geometry (53-XX) 46 Quantum theory (81-XX) 28 Several complex variables and analytic spaces (32-XX) 16 Global analysis, analysis on manifolds (58-XX) 10 Operator theory (47-XX) 8 Relativity and gravitational theory (83-XX) 6 Functional analysis (46-XX) 5 Nonassociative rings and algebras (17-XX) 4 Algebraic geometry (14-XX) 4 Associative rings and algebras (16-XX) 4 Partial differential equations (35-XX) 4 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX)