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.

Microlocal properties of Shubin pseudodifferential and localization operators / Schulz, René; Wahlberg, Patrik. - In: JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS. - ISSN 1662-9981. - 7:1(2016), pp. 91-111. [10.1007/s11868-015-0143-7]

Microlocal properties of Shubin pseudodifferential and localization operators

Wahlberg, Patrik
2016

Abstract

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2999743