Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Positivity properties in noncommutative convolution algebras with applications in pseudo-differential calculus
Responsible organisation
2003 (English)In: Bulletin des Sciences Mathématiques, ISSN 0007-4497, 101-132 p.Article in journal (Refereed) Published
Abstract [en]

We study Y'(+), of all a is an element of D' such that (a *sigma, phi, phi) greater than or equal to 0 for every phi is an element of C-0(infinity), where *phi denotes the twisted convolution. We prove that certain boundedness for a E Y' are completely determined of the behaviour for a at origin, for example that a is an element of Y'(+), and that if a(0) < &INFIN;, then a &ISIN; L-2 &AND; L-&INFIN;. We use the results in order to determine wether positive pseudo-differential operators belong to certain Schatten-casses or not. (C) 2002 Editions scientifiques et medicales Elsevier SAS. All rights reserved.

Place, publisher, year, edition, pages
PARIS: GAUTHIER-VILLARS/EDITIONS ELSEVIER , 2003. 101-132 p.
Keyword [en]
positivity, twisted convolution, Weyl quantization, pseudo-differential operators, Bochner-Schwartz theorem, Schatten-von Neumann classes
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:bth-8133DOI: 10.1016/S0007-4497(02)00003-9ISI: 000181882300001Local ID: oai:bth.se:forskinfoB3E5F062C373D1CBC12575B000213493OAI: oai:DiVA.org:bth-8133DiVA: diva2:835822
Available from: 2012-09-18 Created: 2009-05-08 Last updated: 2015-06-30Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text
In the same journal
Bulletin des Sciences Mathématiques
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 35 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf