Weyl product algebras and classical modulation spaces

Anders Holst; Joachim Toft; Patrik Wahlberg

Banach Center Publications (2010)

  • Volume: 88, Issue: 1, page 153-158
  • ISSN: 0137-6934

Abstract

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We discuss continuity properties of the Weyl product when acting on classical modulation spaces. In particular, we prove that M p , q is an algebra under the Weyl product when p ∈ [1,∞] and 1 ≤ q ≤ min(p,p’).

How to cite

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Anders Holst, Joachim Toft, and Patrik Wahlberg. "Weyl product algebras and classical modulation spaces." Banach Center Publications 88.1 (2010): 153-158. <http://eudml.org/doc/282337>.

@article{AndersHolst2010,
abstract = {We discuss continuity properties of the Weyl product when acting on classical modulation spaces. In particular, we prove that $M^\{p,q\}$ is an algebra under the Weyl product when p ∈ [1,∞] and 1 ≤ q ≤ min(p,p’).},
author = {Anders Holst, Joachim Toft, Patrik Wahlberg},
journal = {Banach Center Publications},
keywords = {Weyl calculus; pseudo-differential calculus; modulation spaces; Banach algebras},
language = {eng},
number = {1},
pages = {153-158},
title = {Weyl product algebras and classical modulation spaces},
url = {http://eudml.org/doc/282337},
volume = {88},
year = {2010},
}

TY - JOUR
AU - Anders Holst
AU - Joachim Toft
AU - Patrik Wahlberg
TI - Weyl product algebras and classical modulation spaces
JO - Banach Center Publications
PY - 2010
VL - 88
IS - 1
SP - 153
EP - 158
AB - We discuss continuity properties of the Weyl product when acting on classical modulation spaces. In particular, we prove that $M^{p,q}$ is an algebra under the Weyl product when p ∈ [1,∞] and 1 ≤ q ≤ min(p,p’).
LA - eng
KW - Weyl calculus; pseudo-differential calculus; modulation spaces; Banach algebras
UR - http://eudml.org/doc/282337
ER -

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