Generalized multi-resolution analyses and a construction procedure for all wavelet sets in Rn

被引：94

作者：

Baggett, LW

Medina, HA

Merrill, KD

机构：

[1] Univ Colorado, Dept Math, Boulder, CO 80309 USA

[2] Loyola Marymount Univ, Dept Math, Los Angeles, CA 90045 USA

[3] Colorado Coll, Dept Math, Colorado Springs, CO 80903 USA

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 1999年 / 5卷 / 06期

关键词：

wavelet; wavelet set; multi-resolution analysis; unitary representation;

D O I：

10.1007/BF01257191

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An abstract formulation of generalized multiresolution analyses is presented, and those GMRAs that come from multiwavelets ore characterized As an application of this abstract formulation, a constructive procedure is developed which Produces all wavelet sets in R-n relative to an integral expansive matrix.

引用

页码：563 / 573

页数：11

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