Microlocal properties of Shubin pseudodifferential and localization operators
arXiv:1508.02331
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.
21 pages, 1 figure