Biorthogonal wavelets, MRA's and shift-invariant spaces

被引：23

作者：

Bownik, M

Garrigós, G

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Univ Autonoma Madrid, E-28049 Madrid, Spain

来源：

STUDIA MATHEMATICA | 2004年 / 160卷 / 03期

关键词：

Riesz wavelet; biorthogonal wavelet; multiresolution analysis; shift-invariant space; dimension function;

D O I：

10.4064/sm160-3-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a characterization of biorthogonal wavelets arising from MRA's of multiplicity D entirely in terms of the dimension function. This improves the previous characterization in [8] removing an unnecessary angle condition. Besides we characterize Riesz wavelets arising from MRA's, and present new proofs based on shift-invariant space theory, generalizing the 1-dimensional results appearing in [17].

引用

收藏

页码：231 / 248

页数：18

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