Microlocal properties of Shubin pseudodifferential and localization operators (1508.02331v2)

Published 10 Aug 2015 in math.AP and math.FA

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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