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The Boundedness of Pseudodifferential Operators on Modulation Spaces
Author(s) -
Tachizawa Kazuya
Publication year - 1994
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19941680116
Subject(s) - pseudodifferential operators , modulation space , mathematics , bounded function , modulation (music) , pure mathematics , basis (linear algebra) , characterization (materials science) , mathematical analysis , geometry , physics , acoustics , optics
We give a characterization of d ‐dimensional modulation spaces with moderate weights by means of the d ‐dimensional Wilson basis. As an application we prove that pseudodifferential operators with generalized Weyl symbols are bounded on these modulation spaces.