Localization of frames II

被引：26
作者：
Cordero, E
Gröchenig, K
机构：
[1] GSF, Natl Res Ctr Environm & Hlth, Dept Biomath & Biometry, D-85764 Neuherberg, Germany
[2] Univ Turin, Dept Math, I-10124 Turin, Italy
来源：
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2004年 / 17卷 / 01期
关键词：
frame; Banach frame; frame algorithm; quasi-banach space; Jaffard's lemma; nonlinear approximation; shift-invariant spaces with multiple generators; wavelet frames; Besov spaces;
D O I：
10.1016/j.acha.2004.02.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The theory of localized frames is refined to include quasi-Banach spaces and spaces with multiple generators. Applications are given to nonlinear approximation with frames and to the convergence of the iterative frame algorithm in finer norms, and to the characterization of Besov spaces with wavelet frames. (C) 2004 Elsevier Inc. All rights reserved.
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页码：29 / 47
页数：19
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