Deforming gabor frames by quadratic hamiltonians

DOI10.1080/10652460008819243zbMath0962.44008OpenAlexW1976831818MaRDI QIDQ4500497

Shun Long Luo

Publication date: 27 August 2000

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460008819243

zbMATH Keywords

integral transformsHeisenberg algebraGabor framesFock spacequadratic HamiltonianWeyl operatorsBargmann representationWick symbol

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Coherent states (81R30) Linear operators on function spaces (general) (47B38)

Related Items (3)

Gabor frames of Gaussian beams for the Schrödinger equation ⋮ Symplectic coarse-grained classical and semclassical evolution of subsystems: New theoretical approach ⋮ Hamiltonian deformations of Gabor frames: first steps

Cites Work

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• Probability distribution of \(\alpha a^{+2} + \bar\alpha a^{-2} + \beta a^+a^- + \gamma a^-a^+\)
• On a Hilbert space of analytic functions and an associated integral transform part I
• Harmonic Analysis in Phase Space. (AM-122)
• Density theorems for sampling and interpolation in the Bargmann-Fock space I.
• Deformations of Gabor frames
• Certain Expansions in the Algebra of Quantum Mechanics

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