Weyl product algebras and modulation spaces

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Abstract

We discuss algebraic properties of the Weyl product acting on modulation spaces. For a certain class of weight functions omega we prove that M-(omega)(p,q) is an algebra under the Weyl product if p epsilon [1, infinity] and 1 <= q <= min(p, p '). For the remaining cases P epsilon [1, infinity] and min(p, p ') < q <= infinity we show that the unweighted spaces M-p,M-q are not algebras under the Weyl product. (C) 2007 Elsevier Inc. All rights reserved.

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Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • modulation spaces, Weyl calculus, pseudo-differential calculus, Banach, algebras
Original languageEnglish
Pages (from-to)463-491
JournalJournal of Functional Analysis
Volume251
Issue number2
Publication statusPublished - 2007
Publication categoryResearch
Peer-reviewedYes