多重向量值正交小波包

Orthogonal Multiple Vector-Valued Wavelet Packets

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.

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.