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| 多重向量值正交小波包 | |
| 引用本文： | 陈清江,程正兴,李学志.多重向量值正交小波包[J].数学研究及应用,2007,27(2):289-297. |
| 作者姓名： | 陈清江 程正兴 李学志 |
| 作者单位： | 1. 西安建筑科技大学理学院,陕西,西安,710055;西安交通大学理学院,陕西,西安,710049 2. 西安建筑科技大学理学院,陕西,西安,710055 3. 信阳师范学院数学系,河南,信阳,464000 |
| 摘 要： | 本文引入多重向量值小波包的概念,提供一类多重向量值正交小波包的构造方法,并运用积分变换和算子理论,讨论了多重向量值正交小波包的性质．利用多重向量值正交小波包,构造了空间L2(R,Cs×s)的新的正交基． |
| 关 键 词： | 向量值多分辨分析 多重向量值尺度函数 多重向量值小波包 加细方程 |
| 文章编号： | 1000-341X(2007)02-0289-09 |
| 收稿时间： | 2005/10/17 0:00:00 |
| 修稿时间： | 7/3/2006 12:00:00 AM |
Orthogonal Multiple Vector-Valued Wavelet Packets |
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| CHEN Qing-jiang,CHENG Zheng-xing and LI Xue-zhi.Orthogonal Multiple Vector-Valued Wavelet Packets[J].Journal of Mathematical Research with Applications,2007,27(2):289-297. | |
| Authors: | CHEN Qing-jiang CHENG Zheng-xing and LI Xue-zhi |
| Institution: | School of Science, Xi'an University of Arch. & Tech., Shaanxi 710055, China; School of Science, Xi'an Jiaotong University, Shaanxi 710049, China;School of Science, Xi'an University of Arch. & Tech., Shaanxi 710055, China;Department of Mathematics, Xinyang Normal University, Henan 464000, China |
| Abstract: | The multiple vector-valued wavelet packets are defined and investigated. A procedure for constructing the multiple vector-valued wavelet packets is presented. The properties of multiple vector-valued wavelet packets are discussed by using integral transformation and operator theory. Finally, new orthogonal bases of $L^2(R,C^{s\times s})$ is constructed from the orthogonal multiple vector-valued wavelet packets. |
| Keywords: | vector-valued multiresolution analysis multiple vector-valued scaling functions multiple vector-valued wavelet packets refinement equation |
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