Uniqueness of Gabor series

DOI10.1016/j.acha.2015.03.006zbMath1325.30026arXiv1409.5231OpenAlexW2964030267MaRDI QIDQ890471

N. E. Zubov

Publication date: 10 November 2015

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5231

zbMATH Keywords

Fourier seriesFock spaceGabor system

Mathematics Subject Classification ID

Representations of entire functions of one complex variable by series and integrals (30D10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (7)

Spectral synthesis in Hilbert spaces of entire functions ⋮ Geometric Properties of Reproducing Kernels in Hilbert Spaces of Entire Functions ⋮ Systems biorthogonal to exponential systems on a finite union of intervals ⋮ On a characterization of Riesz bases via biorthogonal sequences ⋮ The Newman-Shapiro problem ⋮ Summability properties of Gabor expansions ⋮ A stability problem for some complete and minimal Gabor systems in $L^2(\mathbb {R})$

Cites Work

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• Phase space distribution of Gabor expansions
• Convergence and summability of Gabor expansions at the Nyquist density
• Foundations of time-frequency analysis
• Hereditary completeness for systems of exponentials and reproducing kernels
• Traces of functions in Fock spaces on lattices of critical density
• Systems of Reproducing Kernels and their Biorthogonal: Completeness or Incompleteness?
• On Complete Biorthogonal Systems
• Harmonic Analysis in Phase Space. (AM-122)
• Density theorems for sampling and interpolation in the Bargmann-Fock space I.

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