René Schulz, Patrik Wahlberg
Abstract
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We investigate global microlocal properties of localization operators and\nShubin pseudodifferential operators. The microlocal regularity is measured in\nterms of a scale of Shubin-type Sobolev spaces. In particular, we prove\nmicrolocality and microellipticity of these operators.\n
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We investigate global microlocal properties of localization operators and\nShubin pseudodifferential operators. The microlocal regularity is measured in\nterms of a scale of Shubin-type Sobolev spaces. In particular, we prove\nmicrolocality and microellipticity of these operators.\n
Key concepts: Pseudodifferential operators, Sobolev space, Microlocal analysis, Operator theory, Mathematics, Scale (ratio), Pure mathematics, Fourier integral operator