| 扩展矩阵伸缩的多元向量值双正交小波包 |
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| 引用本文： | 邱进凌,王慧,方勤华.扩展矩阵伸缩的多元向量值双正交小波包[J].江西师范大学学报(自然科学版),2007,31(5):450-453,462. |
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| 作者姓名： | 邱进凌 王慧 方勤华 |
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| 作者单位： | 1. 南阳理工学院,教育学院,河南,南阳,473000
2. 信阳师范学院,数学科学学院,河南,信阳,464000 |
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| 摘 要： | 给出扩展矩阵伸缩的多元向量值双正交小波包的定义及其构造方法.运用积分变换与算子理论,讨论了它们的性质,得到了多元向量值小波包的双正交公式.
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| 关 键 词： | 扩展矩阵 双正交 多元 向量值多分辨分析 向量值小波包 |
| 文章编号： | 1000-5862（2007）05-0450-04 |
| 收稿时间： | 2007-01-22 |
| 修稿时间： | 2007年1月22日 |
Biorthogonal Vector-Valued Multivariate Wavelet Packets Associated with an Expansive Dilation Matrix |
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| QIU Jin-ling,WANG Hui,FANG Qin-hua.Biorthogonal Vector-Valued Multivariate Wavelet Packets Associated with an Expansive Dilation Matrix[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2007,31(5):450-453,462. |
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| Authors: | QIU Jin-ling WANG Hui FANG Qin-hua |
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| Abstract: | A class of compactly supported biorthogonal vector-valued multivariate wavelet packets associated with an expansive dilation matrix are defined and constructed.Their properties are investigated by means of the integral transform and operator theory.The biorthogonality formulae concerning the wavelet packets are obtained. |
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| Keywords: | expansive matrix biorthogonal multivariate vector-valued multiresolution analysis vector-valued wavelet packets |
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