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

We investigate the properties of the Moyal multiplier algebras for the generalized Gelfand-Shilov spaces S a k b n . We prove that these algebras contain Palamodov spaces of type E , and establish continuity properties of the operators with Weyl symbols in this class. Analogous results are obtained...

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Bibliographic Details
Published inProceedings of the Steklov Institute of Mathematics Vol. 309; no. 1; pp. 271 - 283
Main Author Soloviev, M. A.
Format Journal Article Conference Proceeding
LanguageEnglish
Published Moscow Pleiades Publishing 01.05.2020
Springer Nature B.V
Subjects
Algebra
Mathematics
Mathematics and Statistics
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Summary:We investigate the properties of the Moyal multiplier algebras for the generalized Gelfand-Shilov spaces S a k b n . We prove that these algebras contain Palamodov spaces of type 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.
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543820030207