Homogeneous approximation property for wavelet frames with matrix dilations, II

被引：0
|
作者：
Zhi Jing Zhao
Wen Chang Sun
机构：
[1] Nankai University,Department of Mathematics and LPMC
来源：
Acta Mathematica Sinica, English Series | 2013年 / 29卷
关键词：
Wavelet frames; homogeneous approximation property; HAP; matrix dilations; 42C15; 42C40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The homogeneous approximation property (HAP) states that the number of building blocks involved in a reconstruction of a function up to some error is essentially invariant under time-scale shifts. In this paper, we show that every wavelet frame with nice wavelet function and arbitrary expansive dilation matrix possesses the HAP. Our results improve some known ones.
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页码：183 / 192
页数：9
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