Geodesic
Characterization of the Moyal Multiplier Algebras for the Generalized Spaces of Type $S$
Trudy Matematicheskogo Instituta imeni V.A. Steklova, 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. 
@article{TM_2020_309_a19,
     author = {M. A. Soloviev},
     title = {Characterization of the {Moyal} {Multiplier} {Algebras} for the {Generalized} {Spaces} of {Type} $S$},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {290--303},
     publisher = {mathdoc},
     volume = {309},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_309_a19/}
}
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M. A. Soloviev. Characterization of the Moyal Multiplier Algebras for the Generalized Spaces of Type $S$. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematical and theoretical physics, Tome 309 (2020), pp. 290-303. http://geodesic.mathdoc.fr/item/TM_2020_309_a19/