| Title | Weyl product algebras and modulation spaces |
| Authors | Anders Holst, Joachim Toft, Patrik Wahlberg |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | Journal of Functional Analysis |
| Year | 2007 |
| Volume | 251 |
| Issue | 2 |
| Pages | 463 - 491 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Elsevier Science Inc. |
| Abstract 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. |
| Keywords | modulation spaces, Weyl calculus, pseudo-differential calculus, Banach, algebras, |
| ISBN/ISSN/Other | ISSN: 0022-1236 |
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