Nonlinear approximation with local Fourier bases

DOI10.1007/s003659910014zbMath0973.42025OpenAlexW1970684339WikidataQ127443509 ScholiaQ127443509MaRDI QIDQ1581101

R. Smith

Publication date: 28 November 2001

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003659910014

zbMATH Keywords

modulation spacesnonlinear approximationWilson basislocal Fourier basesSchur's test

Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) General harmonic expansions, frames (42C15) Approximation by other special function classes (41A30)

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Shearlet coorbit spaces and associated Banach frames ⋮ Nonlinear approximation with nonstationary Gabor frames ⋮ Highly sparse representations from dictionaries are unique and independent of the sparseness measure ⋮ Approximation with brushlet systems. ⋮ Time-frequency analysis on modulation spaces \(M_{m}^{p,q}\), \(0 < p,q \leqslant \infty\). ⋮ Shearlet smoothness spaces ⋮ A characterization of sparse nonstationary Gabor expansions ⋮ Adapted bases of time-frequency local cosines. ⋮ Intrinsic localization of anisotropic frames. II: \(\alpha\)-molecules ⋮ A characterization of \(L^p(\mathbb R )\) by local trigonometric bases with \(1<p<\infty\) ⋮ Optimized local trigonometric bases with nonuniform partitions ⋮ Banach algebras of pseudodifferential operators and their almost diagonalization ⋮ Sparse regression using mixed norms ⋮ Sparsity of Gabor representation of Schrödinger propagators ⋮ Direct and inverse approximation theorems for local trigonometric bases ⋮ Invertibility of frame operators on Besov-type decomposition spaces

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