Affine systems in L-2(R-d) .2. Dual systems

被引：207

作者：

Ron, A ^{[1
]}

Shen, ZW ^{[1
]}

机构：

[1] NATL UNIV SINGAPORE, DEPT MATH, SINGAPORE 119260, SINGAPORE

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 1997年 / 3卷 / 05期

关键词：

affine systems; affine product; quasi-affine systems; frames; dual frames; multiresolution analysis; wavelets;

D O I：

10.1007/BF02648888

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The fiberization of affine systems via dual Gramian techniques, which was developed in previous papers of the authors, is applied here for the study of affine frames that have an affine dual system. Gramian techniques are also used to verify whether a dual pair of affine frames is also a pair of bi-orthogonal Riesz bases. A general method for a painless derivation of a dual pair of affine frames from an arbitrary MRA is obtained via the mixed extension principle.

引用

页码：617 / 637

页数：21

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