一类多重向量值双正交小波包的刻划

Characteristics of biorthogonal multiple vector-valued wavelet packets

  • 摘要: 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L2R,Cs×s)新的Riesz基.

     

    Abstract: 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 L2(R,Cs?s)are constructed from the biorthogonal multiple vector-valued wavelet packets.

     

/

返回文章
返回