Microlocal properties of Shubin pseudodifferential and localization operators

We investigate global microlocal properties of localization operators and Shubin pseudodifferential operators. The microlocal regularity is measured in terms of a scale of Shubin-type Sobolev spaces. In particular, we prove microlocality and microellipticity of these operators.

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Bibliographic Details
Published inJournal of pseudo-differential operators and applications Vol. 7; no. 1; pp. 91 - 111
Main Authors Schulz, René, Wahlberg, Patrik
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.03.2016
Subjects
Algebra
Analysis
Applications of Mathematics
Functional Analysis
Matematik
Mathematics
Mathematics and Statistics
Operator Theory
Partial Differential Equations
35A18
Shubin calculus
35A27
Microlocality
35A22
Localization operator
Gabor wave front set
42B37
Microellipticity
35S05
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Summary:We investigate global microlocal properties of localization operators and Shubin pseudodifferential operators. The microlocal regularity is measured in terms of a scale of Shubin-type Sobolev spaces. In particular, we prove microlocality and microellipticity of these operators.
ISSN:1662-9981
1662-999X
1662-999X
DOI:10.1007/s11868-015-0143-7