Existence and construction of compactly supported biorthogonal multiple vector-valued wavelets

被引：41

作者：

Chen Q.-J. ^{[1
]}

Cheng Z.-X. ^{[1
]}

Wang C.-L. ^{[1
]}

机构：

[1] Faculty of Science, Xi'An Jongtong University

来源：

Journal of Applied Mathematics and Computing | 2006年 / 22卷 / 3期

关键词：

multiple vector-valued scaling functions; multiple vector-valued wavelets; refinement equation; Vector-valued multiresolution analysis;

D O I：

10.1007/BF02832040

中图分类号：

学科分类号：

摘要：

In this paper, we introduce biorthogonal multiple vector-valued wavelets which are wavelets for vector fields. We proved that, like in the scalar and multiwavelet case, the existence of a pair of biorthogonal multiple vector-valued scaling functions guarantees the existence of a pair of biorthogonal multiple vector-valued wavelet functions. Finally, we investigate the construction of a class of compactly supported biorthogonal multiple vector-valued wavelets. © 2006 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.

引用

页码：101 / 115

页数：14