Coefficient quantization for frames in Banach spaces

被引：38

作者：

Casazza, P. G. ^{[2
]}

Dilworth, S. J. ^{[3
]}

Odell, E. ^{[4
]}

Schlumprecht, Th. ^{[1
]}

Zsak, A. ^{[5
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Univ Missouri, Dept Math, Columbia, MO 65211 USA

[3] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

[4] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

[5] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 348卷 / 01期

基金：

美国国家科学基金会;

关键词：

coefficient quantization; Banach spaces; frames;

D O I：

10.1016/j.jmaa.2008.06.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (e(i)) be a fundamental system of a Banach space. We consider the problem of approximating linear combinations of elements of this system by linear combinations using quantized coefficients. We will concentrate on systems which are possibly redundant. Our model for this situation will be frames in Banach spaces. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：66 / 86

页数：21

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