Anisotropic wavelet bases and thresholding

verfasst von
Reinhard Hochmuth
Abstract

We consider thresholding with respect to anisotropic wavelet bases measuring the approximation error in anisotropic Hardy spaces Hp a for p > 0, which are known to be equal to Lp 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.

Externe Organisation(en)
Universität Kassel
Typ
Artikel
Journal
Mathematische Nachrichten
Band
280
Seiten
523-533
Anzahl der Seiten
11
ISSN
0025-584X
Publikationsdatum
2007
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Allgemeine Mathematik
Elektronische Version(en)
https://doi.org/10.1002/mana.200410500 (Zugang: Unbekannt)
 

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