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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 309, Pages 290–303
DOI: https://doi.org/10.4213/tm4076 (Mi tm4076) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Characterization of the Moyal Multiplier Algebras for the Generalized Spaces of Type $S$

M. A. Soloviev

Lebedev Physical Institute of the Russian Academy of Sciences, Leninskii pr. 53, Moscow, 119991 Russia
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DOI: https://doi.org/10.4213/tm4076
Abstract: We investigate the properties of the Moyal multiplier algebras for the generalized Gelfand–Shilov spaces $S^{b_n}_{a_k}$. We prove that these algebras contain Palamodov spaces of type $\mathscr E$, and establish continuity properties of the operators with Weyl symbols in this class. Analogous results are obtained for the projective version of the spaces of type $S$ and are extended to the multiplier algebras for various translation-invariant star products.
Keywords: deformation quantization, Weyl symbols, Moyal product, multiplier algebra, Gelfand–Shilov spaces.
Received: September 30, 2019
Revised: September 30, 2019
Accepted: February 7, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 309, Pages 271–283
DOI: https://doi.org/10.1134/S0081543820030207
Bibliographic databases:
Document Type: Article
UDC: 530.145
Language: Russian
Citation: M. A. Soloviev, “Characterization of the Moyal Multiplier Algebras for the Generalized Spaces of Type $S$”, Modern problems of mathematical and theoretical physics, Collected papers. On the occasion of the 80th birthday of Academician Andrei Alekseevich Slavnov, Trudy Mat. Inst. Steklova, 309, Steklov Math. Inst. RAS, Moscow, 2020, 290–303; Proc. Steklov Inst. Math., 309 (2020), 271–283
Citation in format AMSBIB
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\paper Characterization of the Moyal Multiplier Algebras for the Generalized Spaces of Type $S$
\inbook Modern problems of mathematical and theoretical physics
\bookinfo Collected papers. On the occasion of the 80th birthday of Academician Andrei Alekseevich Slavnov
\serial Trudy Mat. Inst. Steklova
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\vol 309
\pages 290--303
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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