Wavelet sets in R-n

被引：108

作者：

Dai, XD ^{[1
]}

Larson, DR ^{[1
]}

Speegle, DM ^{[1
]}

机构：

[1] TEXAS A&M UNIV,DEPT MATH,COLLEGE STN,TX 77843

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 1997年 / 3卷 / 04期

关键词：

Measurable Subset; Nonempty Interior; Orthogonal Wavelet; Orthonormal Wavelet; Measurable Partition;

D O I：

10.1007/BF02649106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A congruency theorem is proven far an ordered pair of groups of homeomorphisms of a metric space satisfying an abstract dilation-translation relationship. A corollary is the existence of wavelet sets, and hence of single-function wavelets, for arbitrary expansive matrix dilations on L-2(R-n). Moreover for any expansive matrix dilation, it is proven that there are sufficiently many wavelet sets to generate the Borel structure of R-n.

引用

页码：451 / 456

页数：6