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Nonlinear approximation in α -modulation spaces

✍ Scribed by Lasse Borup; Morten Nielsen

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
277 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

The á ‐modulation spaces are a family of spaces that contain the Besov and modulation spaces as special cases. In this paper we prove that brushlet bases can be constructed to form unconditional and even greedy bases for the α ‐modulation spaces. We study m ‐term nonlinear approximation with brushlet bases, and give complete characterizations of the associated approximation spaces in terms of α ‐modulation spaces. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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