Lagrangian distributions and Fourier integral operators with quadratic phase functions and Shubin amplitudes
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Publication:783770
DOI10.4171/PRIMS/56-3-5zbMath1445.35013arXiv1802.04729OpenAlexW3015865246MaRDI QIDQ783770
Patrik Wahlberg, Marco Cappiello, René M. Schulz
Publication date: 4 August 2020
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.04729
Integral transforms in distribution spaces (46F12) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Fourier integral operators applied to PDEs (35S30)
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- Microlocal properties of Shubin pseudodifferential and localization operators
- Reconstruction of singularities for solutions of Schrödinger equations
- Regularity and decay of solutions of nonlinear harmonic oscillators
- Integral representations for the class of generalized metaplectic operators
- Foundations of time-frequency analysis
- Symplectic classification of quadratic forms, and general Mehler formulas
- Shubin type Fourier integral operators and evolution equations
- The Gabor wave front set
- Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients
- Generalized metaplectic operators and the Schrödinger equation with a potential in the Sjöstrand class
- Symplectic Methods in Harmonic Analysis and in Mathematical Physics
- Harmonic Analysis in Phase Space. (AM-122)
- Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians
- Conormal distributions in the Shubin calculus of pseudodifferential operators
- On the Inverse to the Harmonic Oscillator