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Solov’ev, Mikhaĭl Aleksandrovich

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 Author ID: solovev.mikhail-aleksandrovich Published as: Soloviev, M. A.; Solov’ev, M. A.; Soloviev, Michael A.; Solov’ev, Mikhail; Solovev, M. A. External Links: Math-Net.Ru · ORCID
 Documents Indexed: 53 Publications since 1971
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Co-Authors

 39 single-authored 4 Smirnov, Alexander G. 2 Anosov, Dmitriĭ Viktorovich 2 Fainberg, Vladimir Yakovlevich 2 Monastyrskiĭ, Mikhail Il’ich 2 Pletner, Yu. D. 1 Allakhverdiev, Kh. B. 1 Arkhipov, Boris 1 Bugerya, A. B. 1 Fajnberg, V. Ya. 1 Ginzburg, Viktor L’vovich 1 Kononov, A. I. 1 Krasnozhon, A. V. 1 Novikov, Sergeĭ Petrovich 1 Padaryan, V. A. 1 Shapochkin, Dmitry 1 Sinaĭ, Yakov Grigor’evich 1 Solbakov, Viacheslav 1 Zhizhchenko, Alexey B.
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Serials

 21 Theoretical and Mathematical Physics 6 Journal of Mathematical Physics 3 Teoreticheskaya i Matematicheskaya Fizika 2 Communications in Mathematical Physics 2 Letters in Mathematical Physics 2 Programming and Computer Software 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Physics A: Mathematical and Theoretical 1 Moscow University Physics Bulletin 1 Russian Mathematical Surveys 1 Computational Mathematics and Mathematical Physics 1 Annals of Physics 1 Izvestiya: Mathematics 1 Istoriko-Matematicheskie Issledovaniya. Vtoraya Seriya 1 Central European Journal of Mathematics
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Fields

 37 Quantum theory (81-XX) 31 Functional analysis (46-XX) 11 Differential geometry (53-XX) 5 Several complex variables and analytic spaces (32-XX) 3 Partial differential equations (35-XX) 3 Fluid mechanics (76-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Associative rings and algebras (16-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH Open

33 Publications have been cited 176 times in 61 Documents Cited by Year
How can local properties be described in field theories without strict locality? Zbl 0381.46039
Fainberg, V. Ya.; Soloviev, M. A.
1978
An extension of distribution theory and of the Paley-Wiener-Schwartz theorem related to quantum gauge theory. Zbl 0902.46018
Soloviev, M. A.
1997
$$PCT$$, spin and statistics, and analytic wave front set. Zbl 0973.81067
Solov’ev, M. A.
1999
Noncommutativity and $$\theta$$-locality. Zbl 1126.81051
Soloviev, M. A.
2007
Star product algebras of test functions. Zbl 1136.81408
Soloviev, M. A.
2007
Towards a generalized distribution formalism for gauge quantum fields. Zbl 0836.46028
Soloviev, M. A.
1995
A uniqueness theorem for distributions and its application to nonlocal quantum field theory. Zbl 1020.46027
Soloviev, M. A.
1998
Moyal multiplier algebras of the test function spaces of type S. Zbl 1317.46025
Soloviev, M. A.
2011
Axiomatic formulations of nonlocal and noncommutative field theories. Zbl 1177.81085
Soloviev, M. A.
2006
Generalized Weyl correspondence and Moyal multiplier algebras. Zbl 1280.81138
Soloviev, M. A.
2012
Wick-ordered entire functions of the indefinite metric free field. Zbl 0897.46020
Soloviev, M. A.
1997
Beyond the theory of hyperfunctions. Zbl 0884.46029
Soloviev, Michael A.
1993
On a spectral condition for infrared singular quantum fields. Zbl 0888.46052
Soloviev, M. A.
1995
Algebras with convergent star products and their representations in Hilbert spaces. Zbl 1292.81085
Soloviev, M. A.
2013
Star products on symplectic vector spaces: convergence, representations, and extensions. Zbl 1317.81177
Soloviev, M. A.
2014
Twisted convolution and Moyal star product of generalized functions. Zbl 1290.46030
Soloviev, M. A.
2012
Noncommutative deformations of quantum field theories, locality, and causality. Zbl 1256.81109
Soloviev, M. A.
2010
Lorentz-covariant ultradistributions, hyperfunctions, and analytic functionals. Zbl 1040.81057
Soloviev, M. A.
2001
On the generalized function calculus for infrared and ultraviolet singular quantum fields. Zbl 1071.81097
Soloviev, M. A.
2004
Quantum field theory with a fundamental length: a general mathematical framework. Zbl 1373.81272
Soloviev, M. A.
2009
Wick power series converging to nonlocal fields. Zbl 1024.81027
Smirnov, A. G.; Soloviev, M. A.
2001
Spectral properties of Wick power series for a free field with an indefinite metric. Zbl 1032.81535
Smirnov, A. G.; Solov’ev, M. A.
2000
On the Fourier-Laplace transformation of generalized functions. Zbl 0273.46030
Solov’ev, M. A.
1974
Causality, localizability, and holomorphically convex hulls. Zbl 0364.32005
Fainberg, V. Ja.; Solov’ev, M. A.
1977
Dirac’s magnetic monopole and the Kontsevich star product. Zbl 1386.81146
Soloviev, M. A.
2018
Test function space for Wick power series. Zbl 1032.81531
Smirnov, A. G.; Solov’ev, M. A.
2000
Nonlocalizability and asymptotical commutativity. Zbl 0788.46076
Fajnberg, V. Ya.; Solov’ev, M. A.
1992
Weyl correspondence for a charged particle in the field of a magnetic monopole. Zbl 1346.81055
Soloviev, M. A.
2016
Reconstruction in quantum field theory with a fundamental length. Zbl 1309.81127
Soloviev, M. A.
2010
Spaces of type $$S$$ as topological algebras under twisted convolution and star product. Zbl 1433.81105
Soloviev, M. A.
2019
Relativistically invariant formulation of causality in a nonlocal theory of exponential growth. Zbl 0446.46054
Solov’ev, M. A.
1980
Two classes of generalized functions used in nonlocal field theory. Zbl 1178.81266
Soloviev, M. A.
2005
Spaces of type $$S$$ and deformation quantization. Zbl 1441.81115
Soloviev, M. A.
2019
Spaces of type $$S$$ as topological algebras under twisted convolution and star product. Zbl 1433.81105
Soloviev, M. A.
2019
Spaces of type $$S$$ and deformation quantization. Zbl 1441.81115
Soloviev, M. A.
2019
Dirac’s magnetic monopole and the Kontsevich star product. Zbl 1386.81146
Soloviev, M. A.
2018
Weyl correspondence for a charged particle in the field of a magnetic monopole. Zbl 1346.81055
Soloviev, M. A.
2016
Star products on symplectic vector spaces: convergence, representations, and extensions. Zbl 1317.81177
Soloviev, M. A.
2014
Algebras with convergent star products and their representations in Hilbert spaces. Zbl 1292.81085
Soloviev, M. A.
2013
Generalized Weyl correspondence and Moyal multiplier algebras. Zbl 1280.81138
Soloviev, M. A.
2012
Twisted convolution and Moyal star product of generalized functions. Zbl 1290.46030
Soloviev, M. A.
2012
Moyal multiplier algebras of the test function spaces of type S. Zbl 1317.46025
Soloviev, M. A.
2011
Noncommutative deformations of quantum field theories, locality, and causality. Zbl 1256.81109
Soloviev, M. A.
2010
Reconstruction in quantum field theory with a fundamental length. Zbl 1309.81127
Soloviev, M. A.
2010
Quantum field theory with a fundamental length: a general mathematical framework. Zbl 1373.81272
Soloviev, M. A.
2009
Noncommutativity and $$\theta$$-locality. Zbl 1126.81051
Soloviev, M. A.
2007
Star product algebras of test functions. Zbl 1136.81408
Soloviev, M. A.
2007
Axiomatic formulations of nonlocal and noncommutative field theories. Zbl 1177.81085
Soloviev, M. A.
2006
Two classes of generalized functions used in nonlocal field theory. Zbl 1178.81266
Soloviev, M. A.
2005
On the generalized function calculus for infrared and ultraviolet singular quantum fields. Zbl 1071.81097
Soloviev, M. A.
2004
Lorentz-covariant ultradistributions, hyperfunctions, and analytic functionals. Zbl 1040.81057
Soloviev, M. A.
2001
Wick power series converging to nonlocal fields. Zbl 1024.81027
Smirnov, A. G.; Soloviev, M. A.
2001
Spectral properties of Wick power series for a free field with an indefinite metric. Zbl 1032.81535
Smirnov, A. G.; Solov&rsquo;ev, M. A.
2000
Test function space for Wick power series. Zbl 1032.81531
Smirnov, A. G.; Solov&rsquo;ev, M. A.
2000
$$PCT$$, spin and statistics, and analytic wave front set. Zbl 0973.81067
Solov&rsquo;ev, M. A.
1999
A uniqueness theorem for distributions and its application to nonlocal quantum field theory. Zbl 1020.46027
Soloviev, M. A.
1998
An extension of distribution theory and of the Paley-Wiener-Schwartz theorem related to quantum gauge theory. Zbl 0902.46018
Soloviev, M. A.
1997
Wick-ordered entire functions of the indefinite metric free field. Zbl 0897.46020
Soloviev, M. A.
1997
Towards a generalized distribution formalism for gauge quantum fields. Zbl 0836.46028
Soloviev, M. A.
1995
On a spectral condition for infrared singular quantum fields. Zbl 0888.46052
Soloviev, M. A.
1995
Beyond the theory of hyperfunctions. Zbl 0884.46029
Soloviev, Michael A.
1993
Nonlocalizability and asymptotical commutativity. Zbl 0788.46076
Fajnberg, V. Ya.; Solov&rsquo;ev, M. A.
1992
Relativistically invariant formulation of causality in a nonlocal theory of exponential growth. Zbl 0446.46054
Solov&rsquo;ev, M. A.
1980
How can local properties be described in field theories without strict locality? Zbl 0381.46039
Fainberg, V. Ya.; Soloviev, M. A.
1978
Causality, localizability, and holomorphically convex hulls. Zbl 0364.32005
Fainberg, V. Ja.; Solov&rsquo;ev, M. A.
1977
On the Fourier-Laplace transformation of generalized functions. Zbl 0273.46030
Solov&rsquo;ev, M. A.
1974
all top 5

Cited by 60 Authors

 26 Solov’ev, Mikhaĭl Aleksandrovich 7 Smirnov, Alexander G. 4 Szabo, Richard J. 2 Bunk, Severin 2 Müller, Lukas 1 Adam, Peter 1 Albeverio, Sergio A. 1 Ali, Ahmed Farag 1 Andreev, Vlad A. 1 Bruning, Erwin Albert Karl 1 Chaichian, Masud 1 Debrouwere, Andreas 1 Didenko, V. E. 1 Faizal, Mir 1 Franco, Daniel H. T. 1 Gim, Yongwan 1 Gracia-Bondía, José M. 1 Grosse, Harald 1 Hofmann, Gerald 1 Kim, Wontae 1 Lechner, Gandalf 1 Lizzi, Fedele 1 Lomsadze, Yu. M. 1 Ludwig, Thomas 1 Man’ko, Margarita A. 1 Man’ko, Vladimir Ivanovich 1 Măntoiu, Marius Laurenţiu 1 Masood, Syed Hasan 1 Mnatsakanova, M. N. 1 Moschella, Ugo 1 Nagamachi, Shigeaki 1 Nishijima, Kazuhiko 1 Osipov, Edward P. 1 Pathak, Ram Shankar 1 Paul, Akhil Chandra 1 Piacitelli, Gherardo 1 Polito, Caio M. M. 1 Polyakova, Dar’ya Aleksandrovna 1 Purice, Radu 1 Rakić, Dušan 1 Raza, Jamil 1 Sabad, E. P. 1 Schroer, Bert 1 Shah, Mushtaq Bashir 1 Skvortsov, Evgeny D. 1 Strocchi, Franco 1 Teofanov, Nenad 1 Tokuda, Junsei 1 Tureanu, Anca 1 Um, Hwajin 1 Várilly, Joseph C. 1 Varshovi, Amir Abbass 1 Vasil’ev, Mikhail Andreevich 1 Verch, Rainer 1 Vernov, Yu. S. 1 Vindas, Jasson 1 Vitale, Patrizia 1 Yoshida, Minoru W. 1 Zahn, Jochen 1 Zaz, Zaid
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Cited in 22 Serials

 18 Theoretical and Mathematical Physics 12 Journal of Mathematical Physics 4 Letters in Mathematical Physics 4 Journal of High Energy Physics 2 Communications in Mathematical Physics 2 Nuclear Physics. B 2 Physics Letters. B 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Physics A: Mathematical and Theoretical 1 Analysis Mathematica 1 General Relativity and Gravitation 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Reports on Mathematical Physics 1 Advances in Mathematics 1 Archiv der Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Integral Transforms and Special Functions 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Annales Henri Poincaré 1 Journal of Function Spaces and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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Cited in 20 Fields

 49 Quantum theory (81-XX) 29 Functional analysis (46-XX) 16 Differential geometry (53-XX) 5 Relativity and gravitational theory (83-XX) 4 Nonassociative rings and algebras (17-XX) 4 Operator theory (47-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Optics, electromagnetic theory (78-XX) 2 Associative rings and algebras (16-XX) 2 Partial differential equations (35-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX)