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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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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Abstract 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.
AbstractList We investigate the properties of the Moyal multiplier algebras for the generalized Gelfand-Shilov spaces Sakbn. 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.
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.
Author Soloviev, M. A.
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Snippet 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...
We investigate the properties of the Moyal multiplier algebras for the generalized Gelfand-Shilov spaces Sakbn. We prove that these algebras contain Palamodov...
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SubjectTerms Algebra
Mathematics
Mathematics and Statistics
Title Characterization of the Moyal Multiplier Algebras for the Generalized Spaces of Type S
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