Remarks on multivariate Gaussian Gabor frames

DOI10.1007/s00605-013-0556-4zbMath1280.42028arXiv1008.3517OpenAlexW2022098422WikidataQ57921692 ScholiaQ57921692MaRDI QIDQ382220

Götz E. Pfander, Peter Rashkov

Publication date: 18 November 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3517

zbMATH Keywords

Gabor framesBeurling densityGaussian window functionsampling in Bargmann-Fock spaces

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Moment problems and interpolation problems in the complex plane (30E05) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (9)

Smooth lattice orbits of nilpotent groups and strict comparison of projections ⋮ Completeness of coherent state subsystems for nilpotent Lie groups ⋮ Gaussian Gabor frames, Seshadri constants and generalized Buser-Sarnak invariants ⋮ A geometric construction of tight multivariate Gabor frames with compactly supported smooth windows ⋮ Sampling of entire functions of several complex variables on a lattice and multivariate Gabor frames ⋮ The mystery of Gabor frames ⋮ The canonical group of transformations of a Weyl-Heisenberg frame; applications to Gaussian and Hermitian frames ⋮ Multivariate Gabor frames and sampling of entire functions of several variables ⋮ A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers

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• Interpolation and sampling hypersurfaces for the Bargmann-Fock space in higher dimensions
• The wavelet transform, time-frequency localization and signal analysis
• Harmonic Analysis in Phase Space. (AM-122)
• An introduction to frames and Riesz bases

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