研究向量值小波包.给出一类3尺度多重向量值双正交小波包的定义及构造.运用积分理论与算子理论。刻划了多重向量值双正交小波包的特征,得到多重向量值小波包的双正交公式.进而,得到向量值函数空间L^2R,C^s×s)新的Riesz基.
It is been to investigate the vector-valued wavelet packets. A class of 3 - scale biorthogonal multiple vector-valued wavelet packets is defined and a procedure for constructing them is presented. The properties for the biorthogonal multiple vector-valued wavelet packets are characterized. Biorthogonality fomulae for the multiple vector-valued wavelet packets are obtained. Furthermore, new Riesz bases of L^2 (R, C^s×s) are constructed from the biorthogonal multiple vector-valued wavelet packets.