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- Title
A characterization of A-dilation multi-wavelet set.
- Authors
Li Wan-she; Li Dong-liang
- Abstract
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}n=1M-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.
- Subjects
OPERATOR theory; WAVELETS (Mathematics); TILING (Mathematics); FOURIER transforms; MEASURE algebras
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2011, Vol 24, Issue 4, p465
- ISSN
1006-8341
- Publication type
Article