Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms

DOI10.1016/j.jmaa.2014.03.013zbMath1322.43003OpenAlexW2086285527MaRDI QIDQ488779

Franz Luef, Maurice A. De Gosson

Publication date: 26 January 2015

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.013

zbMATH Keywords

Weyl operatorfractional Fourier transformFeichtinger algebrametaplectic and symplectic group

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Nontrigonometric harmonic analysis (42C99) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

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Cites Work

• Maslov indices on the metaplectic group \(Mp(n)\)
• Weyl transforms
• Foundations of time-frequency analysis
• The structure of \(q\)-symplectic geometry
• Symplectic geometry and quantum mechanics
• Sur certains groupes d'opérateurs unitaires
• On the Weyl representation of metaplectic operators
• Harmonic Analysis in Phase Space. (AM-122)
• METAPLECTIC OPERATORS ON Cn
• Linear Symmetries of Free Boson Fields
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