| 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 |
| 多重向量值正交小波包 |
| Orthogonal Multiple Vector-Valued Wavelet Packets |
| 投稿时间：2005-10-17 修订日期：2006-07-03 |
| DOI：10.3770/j.issn:1000-341X.2007.02.009 |
| 中文关键词: 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. |
| 英文关键词:vector-valued multiresolution analysis multiple vector-valued scaling functions multiple vector-valued wavelet packets refinement equation. |
| 基金项目:国家自然科学基金(10371105) |
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| 中文摘要: |
| 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$L^2(R,C^{s\times s})$的新的正交基. |
| 英文摘要: |
| 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. |
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