| 多元向量值正交小波包的刻画 |
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| 引用本文： | 华德林,冯金顺.多元向量值正交小波包的刻画[J].数学季刊,2008,23(4). |
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| 作者姓名： | 华德林 冯金顺 |
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| 作者单位： | School;Education;Nanyang;Institute;Technology;473000;China; |
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| 基金项目： | Supported by the Natural Science Foundation of China(10571113) |
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| 摘 要： |
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| 关 键 词： | 多元向量值 正交小波包 数学分析 解题方法 |
Characterizations of Orthogonal Vector-valued Multivariate Wavelet Packets |
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| HUA De-lin,FENG Jin-shun.Characterizations of Orthogonal Vector-valued Multivariate Wavelet Packets[J].Chinese Quarterly Journal of Mathematics,2008,23(4). |
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| Authors: | HUA De-lin FENG Jin-shun |
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| Institution: | School of Education, Nanyang Institute of Technology, Nanyang 473000, China |
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| Abstract: | In this paper,the notion of orthogonal vector-valued wavelet packets of space L2(Rs,Cn)is introduced.A procedure for constructing the orthogonal vector-valued wavelet packets is presented.Their properties are characterized by virtue of time-frequency analysis method,matrix theory and finite group theory,and three orthogonality formulas are obtained.Finally,new orthonormal bases of space L2(Rs,Cn)are extracted from these wavelet packets. |
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| Keywords: | orthogonality refinement equation vector-valued multiresolution analysis vector-valued scaling function vector-valued wavelet packets |
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