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Weyl product algebras and modulation spaces

På svenska

Author

Summary, in English

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.

Department/s

Publishing year

2007

Language

English

Pages

463-491

Publication/Series

Journal of Functional Analysis

Volume

251

Issue

2

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Keywords

  • modulation spaces
  • Weyl calculus
  • pseudo-differential calculus
  • Banach
  • algebras

Status

Published

Research group

  • Harmonic Analysis and Applications
  • Harmonic Analysis and Applications

ISBN/ISSN/Other

  • ISSN: 0022-1236