APPROXIMATION OF THE DELTA-FUNCTION BY WAVELETS

被引：36
|
作者：
WALTER, GG
机构：
[1] Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201
来源：
JOURNAL OF APPROXIMATION THEORY | 1992年 / 71卷 / 03期
关键词：
D O I：
10.1016/0021-9045(92)90123-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Approximation of the delta distribution by functions associated with wavelets is studied. These functions, the reproducing kernels of the dilation subspaces, are shown to converge to δ(x - y) in the Sobolev space H-α. The error rate is found and three applications are given. © 1992.
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页码：329 / 343
页数：15
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