一类多重向量值双正交小波包的刻划  

Characteristics of biorthogonal multiple vector-valued wavelet packets

作　　者：陈清江[1] 张同琦[2] 程正兴[3] 李学志[4] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055 [2]渭南师范学院数学系,陕西渭南714000 [3]西安交通大学理学院,陕西西安710049 [4]信阳师范学院数学系,河南信阳464000

出　　处：《云南大学学报（自然科学版）》2006年第6期472-477,482,共7页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(10371105);河南省自然科学基金资助项目(0211044800)

摘　　要：研究向量值小波包.给出一类3尺度多重向量值双正交小波包的定义及构造.运用积分理论与算子理论,刻划了多重向量值双正交小波包的特征,得到多重向量值小波包的双正交公式.进而,得到向量值函数空间L2R,Cs×s)新的Riesz基.It is been to investigate the vector-valued wavelet packets. A class of 3 - scale biorthogonal multiple vector-valued wavelet packets is defined and a procedure for constructing them is presented. The properties for the biorthogonal multiple vector-valued wavelet packets are characterized. Biorthogonality fomulae for the multiple vector-valued wavelet packets are obtained. Furthermore, new Riesz bases of L^2 （R, C^s×s） are constructed from the biorthogonal multiple vector-valued wavelet packets.

关 键 词：双正交 多重 向量值多分辨分析 向量值尺度函数 向量值小波 向量值小波包 

分 类 号：O174.2[理学—数学]