A note on wavelets and diffusions

被引：12
|
作者：
Shen, J [1 ]
机构：
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2003年 / 5卷 / 01期
关键词：
wavelets; diffusion; heatlets; annihilation;
D O I：
10.1023/A:1021486307819
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Motivated by image processing and numerical wavelet methods for Partial differential equations, we study the theoretical interactions between wavelets and the diffusion equations. Important properties of wavelets, such as the translation and scaling invariance, the p-vanishing-moment condition, and the atomic decomposition, are integrated into the diffusion process and lead to many interesting results.
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页码：147 / 159
页数：13
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