Frame Wavelets with Compact Supports for L~2(R~n)

被引：0

作者：

De Yun YANG ^{[1
,2
]}

Xing Wei ZHOU ^{[3
]}

Zhu Zhi YUAN ^{[2
]}

机构：

[1] Department of Information,Taishan University

[2] Department of Automation,Nankai University

[3] Department of Mathematics and LPMC,Nankai University

来源：

ActaMathematicaSinica(EnglishSeries) | 2007年 / 23卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Fourier transform; frame; wavelet; expansive matrix;

D O I：

暂无

中图分类号：

O174.2 [傅里叶分析（经典调和分析）];

学科分类号：

070104 ;

摘要：

The construction of frame wavelets with compact supports is a meaningful problem inwavelet analysis.In particular,it is a hard work to construct the frame wavelets with explicit analyticforms.For a given n×n real expansive matrix A,the frame-sets with respect to A are a family ofsets in R~n.Based on the frame-sets,a class of high-dimensional frame wavelets with analytic formsare constructed,which can be non-bandlimited,or even compactly supported.As an application,the construction is illustrated by several examples,in which some new frame wavelets with compactsupports are constructed.Moreover,since the main result of this paper is about general dilationmatrices,in the examples we present a family of frame wavelets associated with some non-integerdilation matrices that is meaningful in computational geometry.

引用

页码：349 / 356

页数：8

共 13 条

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