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关于多元向量值正交小波包性质的研究

, PP. 52-56

Keywords: 正交,多元,向量值多分辨分析,向量值尺度函数,向量值小波包,加细方程

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Abstract:

引进了向量值多分辨分析与多元向量值正交小波的概念.给出多元向量值正交小波包的定义.提出具有数量矩阵伸缩的多元向量值正交小波包的构造方法.运用代数学理论、算子理论与积分变换讨论了多元向量值正交小波包的性质.进而构造向量值函数空间L2(Rd,Cr)的一组新的正交基.

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