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具有矩阵伸缩的双正交向量值小波包
引用本文:朱剑,付月霞,王刚.具有矩阵伸缩的双正交向量值小波包[J].新疆师范大学学报(自然科学版),2007,26(3):1-4.
作者姓名:朱剑  付月霞  王刚
作者单位:新疆师范大学,数理信息学院,新疆,乌鲁木齐,830054
基金项目: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.

关 键 词:伸缩矩阵  向量值多分辨分析  向量值小波包
文章编号:1008-9659-(2007)-03-0001-04
修稿时间:2007-02-18

Biorthogonal Vector_valued Wavelet packets associated with the Dilation Matrix
ZHU Jian,FU Yuexia,WANG Gang.Biorthogonal Vector_valued Wavelet packets associated with the Dilation Matrix[J].Journal of Xinjiang Normal University(Natural Sciences Edition),2007,26(3):1-4.
Authors:ZHU Jian  FU Yuexia  WANG Gang
Institution:School of Math_physics and information science ,XinJiang Normal University ,Urumqi X inj iang 830054
Abstract:In this paper, A procedure for constructing the biorthogonal 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 wave- let packets.
Keywords:Dilation Matrix  Vector_valued mutivesolution analysis  Vector_valued wavelet packets
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