Convergence of multidimensional cascade algorithm

被引：48

作者：

Lawton, W

Lee, SL

Shen, ZW

机构：

[1] Natl Univ Singapore, Inst Syst Sci, Singapore 117548, Singapore

[2] Natl Univ Singapore, Dept Math, Singapore 117548, Singapore

来源：

NUMERISCHE MATHEMATIK | 1998年 / 78卷 / 03期

关键词：

D O I：

10.1007/s002110050319

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A necessary and sufficient condition on the spectrum of the restricted transition operator is given for the convergence in L-2(R-d) of the multidimensional cascade algorithm for any starting function phi(o) whose shifts form a partition of unity.

引用

页码：427 / 438

页数：12

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