A characterization of A-dilation multi-wavelet set
Dongliang Li · Basic Sciences Journal of Textile Universities · 2011
Based on the study of A-dilation single wavelet set,the concept of the A-dilation multi-wavelet set is introduced,the characterization of A-dilation single wavelet set is a dilation and translation tiling,which is enlarged to A-dilation multi-wavelet set.A sufficient and necessary condition for a measurable set family {En}M-1n=1 to be A-dilation multi-wavelet set for L2(Rd) is obtained,and it is proved by Fourier transform and the related knowledge of the set.