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Nonlinear approximation with general wave packets |
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| Authors: | L. Borup M. Nielsen |
| Affiliation: | (1) Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, DK-9220 Aalborg East, Denmark |
| Abstract: | We study nonlinear approximation in the Triebel-Lizorkin spaces with dictionaries formed by dilating and translating one single function g. A general Jackson inequality is derived for best m-term approximation with such dictionaries. In some special cases where g has a special structure, a complete characterization of the approximation spaces is derived. |
| Keywords: | Wavelet tight wavelet frame Besov space Triebel-Lizorkin space nonlinear approximation WAVE GENERAL APPROXIMATION complete characterization approximation spaces cases special structure general Jackson inequality derived best study nonlinear approximation single function |
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