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Weyl product algebras and classical modulation spaces

Holst, Anders LU ; Toft, Joachim and Wahlberg, Patrik (2010) Linear and Non-linear Theory of Generalized Functions and Its Applications 88. p.153-158
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').
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
pseudo-differential calculus, Weyl calculus, modulation spaces, Banach, algebras
host publication
Banach center publications
editor
Biler, Piotr ; Grabowski, Janusz ; Kaczorowski, Jerzy and Wojtaszczyk, Przemyslaw
volume
88
pages
6 pages
publisher
Institute of Mathematics, Polish Academy of Sciences
conference name
Linear and Non-linear Theory of Generalized Functions and Its Applications
conference location
Bedlewo, Poland
conference dates
2007-09-02 - 2007-09-08
ISSN
0137-6934
1730-6299
ISBN
978-83-86806-07-2
DOI
10.4064/bc88-0-12
language
English
LU publication?
yes
id
e799b725-4815-44ad-9b18-d3d6b2b24433 (old id 1579187)
date added to LUP
2016-04-01 10:31:22
date last changed
2018-11-21 19:47:16
@inproceedings{e799b725-4815-44ad-9b18-d3d6b2b24433,
  abstract     = {{We discuss continuity properties of the Weyl product when acting on classical<br/><br>
modulation spaces. In particular, we prove that M^{p,q} is an algebra under<br/><br>
the Weyl product when p&gt;=1 and 1=&lt;q=&lt;min(p,p').}},
  author       = {{Holst, Anders and Toft, Joachim and Wahlberg, Patrik}},
  booktitle    = {{Banach center publications}},
  editor       = {{Biler, Piotr and Grabowski, Janusz and Kaczorowski, Jerzy and Wojtaszczyk, Przemyslaw}},
  isbn         = {{978-83-86806-07-2}},
  issn         = {{0137-6934}},
  keywords     = {{pseudo-differential calculus; Weyl calculus; modulation spaces; Banach; algebras}},
  language     = {{eng}},
  pages        = {{153--158}},
  publisher    = {{Institute of Mathematics, Polish Academy of Sciences}},
  title        = {{Weyl product algebras and classical modulation spaces}},
  url          = {{http://dx.doi.org/10.4064/bc88-0-12}},
  doi          = {{10.4064/bc88-0-12}},
  volume       = {{88}},
  year         = {{2010}},
}