Biorthogonal wavelet expansions

被引：89

作者：

Dahmen, W ^{[1
]}

Micchelli, CA ^{[1
]}

机构：

[1] IBM CORP, THOMAS J WATSON RES CTR, DEPT MATH SCI, YORKTOWN HTS, NY 10598 USA

来源：

CONSTRUCTIVE APPROXIMATION | 1997年 / 13卷 / 03期

关键词：

finitely generated shift-invariant spaces; stationary subdivision schemes; matrix refinement relations; biorthogonal wavelets;

D O I：

10.1007/s003659900045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with developing conditions on a given finite collection of compactly supported algebraically linearly independent refinable functions that insure the existence of biorthogonal systems of refinable functions with similar properties. In particular, we address the close connection of this issue with stationary subdivision schemes.

引用

页码：293 / 328

页数：36

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