Almost diagonalization of \(\tau \)-pseudodifferential operators with symbols in Wiener amalgam and modulation spaces

DOI10.1007/s00041-018-09651-zOpenAlexW3103402207MaRDI QIDQ2003620

S. Ivan Trapasso, Fabio Nicola, Elena Cordero

Publication date: 9 July 2019

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.10314

zbMATH Keywords

modulation spacestime-frequency analysisWiener amalgam spacesalmost diagonalization\(\tau \)-pseudodifferential operators\(\tau \)-Wigner distribution

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Function spaces arising in harmonic analysis (42B35) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Pseudodifferential operators (47G30)

Related Items (17)

On exceptional times for pointwise convergence of integral kernels in Feynman-Trotter path integrals ⋮ An introduction to the Gabor wave front set ⋮ Time-frequency analysis of the Dirac equation ⋮ On the pointwise convergence of the integral kernels in the Feynman-Trotter formula ⋮ Linear perturbations of the Wigner distribution and the Cohen class ⋮ Pseudodifferential operators with completely periodic symbols ⋮ Linear Perturbations of the Wigner Transform and the Weyl Quantization ⋮ Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators ⋮ Weak Hardy-type spaces associated with ball quasi-Banach function spaces. I: Decompositions with applications to boundedness of Calderón-Zygmund operators ⋮ On the local well-posedness of the nonlinear heat equation associated to the fractional Hermite operator in modulation spaces ⋮ Characterization of smooth symbol classes by Gabor matrix decay ⋮ Continuity Properties of Multilinear Localization Operators on Modulation Spaces ⋮ Almost Diagonalization of Pseudodifferential Operators ⋮ Subexponential decay and regularity estimates for eigenfunctions of localization operators ⋮ Characterisation of the Weyl-Hörmander classes by time-frequency shifts ⋮ Wiener amalgam spaces of quasianalytic ultradistributions ⋮ Wigner analysis of operators. I: Pseudodifferential operators and wave fronts

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