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

页码：95 / 111

页数：17

共 10 条

[1] ORTHONORMAL BASES OF COMPACTLY SUPPORTED WAVELETS [J].