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Nonlinear approximation with dictionaries. I: Direct estimates

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Publication:1882639
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DOI10.1007/s00041-004-8003-5zbMath1068.41024OpenAlexW2114487741MaRDI QIDQ1882639

Rémi Gribonval, Morten Nielsen

Publication date: 1 October 2004

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

Full work available at URL: https://hal.inria.fr/inria-00567266/file/2004_JFAA_GribonvalNielsen.pdf


Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)


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Nonlinear approximation with nonstationary Gabor frames, Highly sparse representations from dictionaries are unique and independent of the sparseness measure, Parabolic Molecules: Curvelets, Shearlets, and Beyond, Compactly supported frames for decomposition spaces, A characterization of sparse nonstationary Gabor expansions, Cartoon approximation with \(\alpha\)-curvelets, Orthonormal bases for anisotropic \(\alpha\)-modulation spaces, Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval, Localization of frames. II, A Jackson-type inequality associated with wavelet bases decomposition, Nonlinear approximation schemes associated with nonseparable wavelet bi-frames, Unconditional bases for homogeneous \(\alpha\)-modulation type spaces



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