GENERAL EXISTENCE THEOREMS FOR ORTHONORMAL WAVELETS, AN ABSTRACT APPROACH

被引：37
作者：
BAGGETT, L
CAREY, A
MORAN, W
OHRING, P
机构：
[1] FLINDERS UNIV S AUSTRALIA,SCH INFORMAT TECHNOL,ADELAIDE,SA,AUSTRALIA
[2] UNIV COLORADO,DEPT MATH,BOULDER,CO 80309
[3] SUNY COLL PURCHASE,DEPT MATH,PURCHASE,NY 10577
来源：
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 1995年 / 31卷 / 01期
关键词：
D O I：
10.2977/prims/1195164793
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Methods from noncommutative harmonic analysis are used to develop an abstract theory of orthonormal wavelets. The relationship between the existence of an orthonormal wavelet and the existence of a multi-resolution is clarified, and four theorems guaranteeing the existence of wavelets are proved. As a special case of the fourth theorem, a generalization of known results on the existence of smooth wavelets having compact support is obtained.
引用
收藏
页码：95 / 111
页数：17
相关论文
共 10 条
1