具有矩阵伸缩的双正交向量值小波包  

Biorthogonal Vector_valued Wavelet packets associated with the Dilation Matrix

作　　者：朱剑[1] 付月霞[1] 王刚[1] 

机构地区：[1]新疆师范大学数理信息学院,新疆乌鲁木齐830054

出　　处：《新疆师范大学学报（自然科学版）》2007年第3期1-4,共4页Journal of Xinjiang Normal University(Natural Sciences Edition)

基　　金：新疆师范大学博士;博士后科研启动基金

摘　　要：文章讨论了具有矩阵伸缩的高维双正交向量值小波包的构造及其性质,得到了向量值函敷空间L^2(R^(?),C^r)的新的Riesz基.In this paper, A procedure for constructing the biorlhogonal vector_valued wavelet packet associated with the dilation matrix is offered . The property of the vector valued wavelet packets is dis- cussed. Morover,several new Riesz bases of are constructed by using the biorthogonal vector_valued wavelet packets.

关 键 词：伸缩矩阵 向量值多分辨分析 向量值小波包 

分 类 号：O174.2[理学—数学]