Integral representations for the class of generalized metaplectic operators

DOI10.1007/S00041-014-9384-8zbMath1341.42019arXiv1407.0841OpenAlexW2016031205MaRDI QIDQ895422

Fabio Nicola, Elena Cordero, Luigi Rodino

Publication date: 3 December 2015

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

Full work available at URL: https://arxiv.org/abs/1407.0841

zbMATH Keywords

Schrödinger equationmodulation spacesshort-time Fourier transformWigner distributionFourier integral operatorsmetaplectic operators

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Schrödinger operator, Schrödinger equation (35J10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Pseudodifferential operators (47G30) Harmonic analysis and PDEs (42B37)

Related Items (10)

Boundedness of pseudodifferential operators with symbols in Wiener amalgam spaces on modulation spaces ⋮ Shubin type Fourier integral operators and evolution equations ⋮ Computing Fourier integral operators with caustics ⋮ Special Fourier integral operators of types I and II with function-variable symbols: definition, relation to metaplectic transform, and Heisenberg's uncertainty principles ⋮ Square-integrability of multivariate metaplectic wave-packet representations ⋮ Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators ⋮ Elliptic \(\mathbb{Z}\)-operators associated with the metaplectic group ⋮ A characterization of modulation spaces by symplectic rotations ⋮ On the Continuity of $$\tau $$-Wigner Pseudodifferential Operators ⋮ Lagrangian distributions and Fourier integral operators with quadratic phase functions and Shubin amplitudes

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