向量值约化子空间超仿射小波对偶框架的构造

摘要

利用Fourier变换和周期化技巧,给出Fourier域上L2(Rd,CL)中约化子空间上的超仿射小波对偶框架的一个充分条件,从而将L2(R d)中约化子空间上的结果推广到向量值空间L2(Rd,CL)的约化子空间上.%By using the Fourier transform and periodic technique,the author gave a sufficient condition for the super affine wavelet dual frame in the Fourier-domain under the setting of reducing subspaces of L2(Rd,CL),so that the result in the reducing subspaces of L2(Rd) was generalized to the reducing subspaces of vector-value space L2 (R d,C L).