On the integral representations for metaplectic operators

DOI10.1007/s00041-002-0011-8zbMath1031.42006OpenAlexW2150243156MaRDI QIDQ1865811

Patrick J. Oonincx, Hennie ter Morsche

Publication date: 3 March 2004

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

Full work available at URL: https://research.tue.nl/nl/publications/on-the-integral-representations-for-metaplectic-operators(f1b7d868-5317-44ff-a7c4-e03010b75e69).html

zbMATH Keywords

fractional Fourier transformWigner distributionsymplectic matrixmetaplectic operators

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (7)

Gabor frame decomposition of evolution operators and applications ⋮ Integral representations for the class of generalized metaplectic operators ⋮ Special Fourier integral operators of types I and II with function-variable symbols: definition, relation to metaplectic transform, and Heisenberg's uncertainty principles ⋮ Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations ⋮ Reconstruction of singularities for solutions of Schrödinger equations ⋮ Metaplectic operators for finite Abelian groups and \(\mathbb R^d\) ⋮ Wigner analysis of operators. I: Pseudodifferential operators and wave fronts

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