Linear perturbations of the Wigner distribution and the Cohen class

DOI10.1142/S0219530519500052zbMath1437.42005arXiv1811.07795WikidataQ128159103 ScholiaQ128159103MaRDI QIDQ5107665

Elena Cordero, S. Ivan Trapasso

Publication date: 28 April 2020

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

Full work available at URL: https://arxiv.org/abs/1811.07795

zbMATH Keywords

modulation spacesWigner distributiontime-frequency analysisWiener amalgam spacesCohen's class

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (8)

An introduction to the Gabor wave front set ⋮ A note on the HRT conjecture and a new uncertainty principle for the short-time Fourier transform ⋮ Symplectic analysis of time-frequency spaces ⋮ Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations ⋮ Linear Perturbations of the Wigner Transform and the Weyl Quantization ⋮ Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators ⋮ Signal Analysis Using Born–Jordan-Type Distributions ⋮ Wigner analysis of operators. I: Pseudodifferential operators and wave fronts

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