Microlocal properties of Shubin pseudodifferential and localization operators

DOI10.1007/s11868-015-0143-7zbMath1338.35520arXiv1508.02331OpenAlexW2964003920MaRDI QIDQ262296

Patrik Wahlberg, René M. Schulz

Publication date: 29 March 2016

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02331

zbMATH Keywords

localization operatorGabor wave front setmicroellipticitymicrolocalityShubin calculus

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Wave front sets in context of PDEs (35A18) Harmonic analysis and PDEs (42B37)

Related Items

Propagation of exponential phase space singularities for Schrödinger equations with quadratic Hamiltonians, Shubin type Fourier integral operators and evolution equations, Conormal distributions in the Shubin calculus of pseudodifferential operators, Ultradifferentiable Functions of Class $$ M_p^{\tau ,\sigma } $$ and Microlocal Regularity, The Gabor wave front set in spaces of ultradifferentiable functions, On the characterizations of wave front sets in terms of the short-time Fourier transform, Lagrangian distributions and Fourier integral operators with quadratic phase functions and Shubin amplitudes, Wave front sets with respect to Banach spaces of ultradistributions. Characterisation via the short-time fourier transform, Beyond Gevrey regularity

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