Characterization of \(L^p (\mathbb R^n)\) using Gabor frames

DOI10.1007/BF02510419zbMath0982.42017OpenAlexW2042723006MaRDI QIDQ5937485

Chris Lennard, Loukas Grafakos

Publication date: 5 December 2001

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

Full work available at URL: https://eudml.org/doc/59674

zbMATH Keywords

Gabor frames\(L^p\) normsBanach frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Harmonic analysis in several variables (42B99) Harmonic analysis in one variable (42A99)

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Gabor frame characterizations of generalized modulation spaces, ON COARSE QUANTIZATION OF TIGHT GABOR FRAME EXPANSIONS, A characterization of multidimensional multi-knot piecewise linear spectral sequence and its applications, Frequency-scale frames and the solution of the Mexican hat problem, Frames in spaces with finite rate of innovation, Slanted matrices, Banach frames, and sampling, Summability of Gabor expansions and Hardy spaces, Hilbert space valued Gabor frames in weighted amalgam spaces, A characterization of \(L^p(\mathbb R )\) by local trigonometric bases with \(1<p<\infty\), Distributional estimates for the bilinear Hilbert transform, Varying the time-frequency lattice of Gabor frames, Pointwise summability of Gabor expansions, Direct and inverse approximation theorems for local trigonometric bases

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