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Asymptotic expansions for Hörmander symbol classes in the calculus of pseudo-differential operators
Univ Turin, Italy.
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering, Center för avancerade studier)ORCID iD: 0000-0003-1921-8168
2014 (English)In: Journal of Pseudo-Differential Operators and Applications, ISSN 1662-9981, E-ISSN 1662-999X, Vol. 5, no 1, 27-41 p.Article in journal (Refereed) Published
Abstract [en]

We establish formulas for asymptotic expansions for S(m,g), the Hörmander class parameterized by the metric g and weight function m, defined on the phase space. By choosing m and g in appropriate ways, we cover some classical results on expansions for the standard symbol classes, and by choosing m and g in other ways we obtain asymptotic expansions for (generalized) SG classes.

Place, publisher, year, edition, pages
Springer, 2014. Vol. 5, no 1, 27-41 p.
Keyword [en]
Weyl calculus, Asymptotic expansions, SG classes
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-34247DOI: 10.1007/s11868-013-0086-9ISI: 000341593100002Scopus ID: 2-s2.0-84894676116OAI: oai:DiVA.org:lnu-34247DiVA: diva2:718400
Projects
Matematisk modellering
Available from: 2014-05-21 Created: 2014-05-21 Last updated: 2017-12-05Bibliographically approved

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Toft, Joachim

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