Aufsatz in einer Fachzeitschrift
Anisotropic wavelet bases and thresholding
Details zur Publikation
Autor(inn)en: | Hochmuth, R. |
Publikationsjahr: | 2007 |
Zeitschrift: | Mathematical News |
Seitenbereich: | 523-533 |
Jahrgang/Band : | 280 |
Erste Seite: | 523 |
Letzte Seite: | 533 |
ISSN: | 0025-584X |
Zusammenfassung, Abstract
We consider thresholding with respect to anisotropic wavelet bases measuring the approximation error in anisotropic Hardy spaces H-p(a) for p > 0, which are known to be equal to L-p for p > 1. In particular, we characterize those functions that provide a specific convergence rate by intrinsic smoothness properties. To this end we apply restricted nonlinear approximation, see [3], which is a generalization of n-term approximation in which a weight function is used to control the terms of the approximations. (c) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
We consider thresholding with respect to anisotropic wavelet bases measuring the approximation error in anisotropic Hardy spaces H-p(a) for p > 0, which are known to be equal to L-p for p > 1. In particular, we characterize those functions that provide a specific convergence rate by intrinsic smoothness properties. To this end we apply restricted nonlinear approximation, see [3], which is a generalization of n-term approximation in which a weight function is used to control the terms of the approximations. (c) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
