Microlocal properties of Shubin pseudodifferential and localization operators
Analysis of PDEs
2015-08-24 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1508.02331,
title = {Microlocal properties of Shubin pseudodifferential and localization operators},
author = {René Schulz and Patrik Wahlberg},
journal= {arXiv preprint arXiv:1508.02331},
year = {2015}
}
Comments
21 pages, 1 figure