Necessary and Sufficient Conditions for Expansions of Wilson Type

被引：0

作者：

Kun Chuan WANG Department of Mathematics

机构：

来源：

Acta Mathematica Sinica,English Series | 2008年 / 24卷 / 07期

关键词：

Gabor expansion; orthogonality; wavelet expansion; Wilson expansion;

D O I：

暂无

中图分类号：

O174.22 [傅里叶积分（傅里叶变换）];

学科分类号：

070104 ;

摘要：

We consider expansions of the type arising from Wilson bases.We characterize suchexpansions for L~2 (R) .As an application,we see that such an expansion must be orthonormal,incontrast to the case of wavelet expansions generated by translations and dilation.

引用

页码：1107 / 1116

页数：10

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