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
收藏
页码：101 / 115
页数：14
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