Geodesic
Characterization of the Moyal Multiplier Algebras for the Generalized Spaces of Type $S$
Informatics and Automation, Modern problems of mathematical and theoretical physics, Tome 309 (2020), pp. 290-303.

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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.
Mots-clés : deformation quantization, multiplier algebra
Keywords: Weyl symbols, Moyal product, Gelfand–Shilov spaces. 
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M. A. Soloviev. Characterization of the Moyal Multiplier Algebras for the Generalized Spaces of Type $S$. Informatics and Automation, Modern problems of mathematical and theoretical physics, Tome 309 (2020), pp. 290-303. http://geodesic.mathdoc.fr/item/TRSPY_2020_309_a19/

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