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Composition and spectral invariance of pseudodifferential operators on modulation spaces.

J. Anal. Math. 98, 65-82 (2006)
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We introduce new classes of Banach algebras of pseudodifferential operators with symbols in certain modulation spaces and investigate their composition and the functional calculus. Operators in these algebras possess the spectral invariance property on the associated family of modulation spaces. These results extend and contain Sjostrand's theory, and they are obtained with new phase-space methods instead of "hard analysis."
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter TIME-FREQUENCY ANALYSIS; LOCALIZATION OPERATORS; GABOR FRAMES; ALGEBRAS; CONVOLUTION; CALCULUS
ISSN (print) / ISBN 0021-7670
e-ISSN 1565-8538
Quellenangaben Band: 98, Heft: , Seiten: 65-82 Artikelnummer: , Supplement: ,
Verlag Springer
Verlagsort Jerusalem
Begutachtungsstatus Peer reviewed