Kazuya Tachizawa
Abstract
Abstract 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.
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Abstract 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.
Key concepts: Pseudodifferential operators, Modulation space, Mathematics, Bounded function, Modulation (music), Pure mathematics, Basis (linear algebra), Characterization (materials science)