Frames in generalized Fock spaces

DOI10.1016/j.jmaa.2010.12.049zbMath1219.42022OpenAlexW2035377016MaRDI QIDQ631843

Ramakrishnan Radha, Venku Naidu Dogga

Publication date: 14 March 2011

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.2010.12.049

zbMATH Keywords

Hilbert spaceframesFock spacetime-frequency analysisGabor frameBargmann transformfinite truncation of an operator

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (2)

Sampling in the image of Sobolev space in \(L^2(\mathbb{R}, e^{u^2}du)\) under Schrödinger semigroup \(e^{it\Delta } \) ⋮ Frames in Hermite-Bergman and special Hermite-Bergman spaces

Cites Work

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• Solution of a tridiagonal operator equation
• Sufficient conditions for irregular Gabor frames
• Stability of Gabor frames with arbitrary sampling points
• Two Banach spaces of atoms for stable wavelet frame expansions
• Describing functions: Atomic decompositions versus frames
• Gabor frames and time-frequency analysis of distributions
• Density and stability of wavelet frames
• Irregular wavelet frames
• Foundations of time-frequency analysis
• Gabor meets Littlewood–Paley: Gabor expansions in L^p(R^d)
• Painless nonorthogonal expansions
• Frames in the bargmann space of entire functions
• The wavelet transform, time-frequency localization and signal analysis
• Varying the time-frequency lattice of Gabor frames
• Continuous and Discrete Wavelet Transforms
• Holomorphic Fock spaces for positive linear transformations
• A Class of Nonharmonic Fourier Series

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