Quasi-greedy systems of integer translates

被引：8

作者：

Nielsen, Morten ^{[1
]}

Sikic, Hrvoje ^{[2
]}

机构：

[1] Univ Aalborg, Dept Math Sci, DK-9220 Aalborg, Denmark

[2] Univ Zagreb, Dept Math, HR-10000 Zagreb, Croatia

来源：

JOURNAL OF APPROXIMATION THEORY | 2008年 / 155卷 / 01期

关键词：

Quasi-greedy system; Schauder basis; Integer translates; Shift-invariant space; FSI space;

D O I：

10.1016/j.jat.2008.04.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider quasi-greedy systems of integer translates in a finitely generated shift-invariant subspace of L(2)(R(d)), that is systems for which the thresholding approximation procedure is Well behaved. We prove that every quasi-greedy system of integer translates is also a Riesz basis for its closed linear span. The result shows that there arc no conditional quasi-greedy bases of integer translates in a finitely generated shift-invariant space. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：43 / 51

页数：9

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