Conormal distributions in the Shubin calculus of pseudodifferential operators

DOI10.1063/1.5022778zbMath1390.35442arXiv1702.03111OpenAlexW2734416157MaRDI QIDQ4607658

Marco Cappiello, Patrik Wahlberg, René M. Schulz

Publication date: 14 March 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03111

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05)

Related Items

An introduction to the Gabor wave front set ⋮ Shubin type Fourier integral operators and evolution equations ⋮ Anisotropic global microlocal analysis for tempered distributions ⋮ Lagrangian distributions and Fourier integral operators with quadratic phase functions and Shubin amplitudes ⋮ Pseudo-differential operators with isotropic symbols, Wick and anti-Wick operators, and hypoellipticity

Cites Work

• Microlocal properties of Shubin pseudodifferential and localization operators
• Maslov indices on the metaplectic group \(Mp(n)\)
• Foundations of time-frequency analysis
• Propagation of the homogeneous wave front set for Schrödinger equations
• Symplectic classification of quadratic forms, and general Mehler formulas
• The Gabor wave front set
• Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions
• Harmonic Analysis in Phase Space. (AM-122)
• An intrinsic characterisation of polyhomogeneous Lagrangian distributions
• Equality of the homogeneous and the Gabor wave front set
• Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians
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