Under weak hypotheses, we establish the relation between multiwavelets subspaces with multiplicity 2 and uni-wavelet subspaces, i.e., the uni-wavelet is constructed by multiwavelets with multiplicity 2. On the one hand, the subspace generated by translates and dilations of the uni-wavelet is the same as the subspace generated by multiwavelets with multiplicity 2; on the other hand, the uni-wavelet also possesses the interpolatory property. Based on uni-wavelet generated by our method, the Shan-non'type sampling theorem on the multiwavelets subspace is presented.
Li Hong CUI,Zheng Xing CHENG.
Representation for Multiwavelets Subspaces by the Uni-Wavelet. Acta Mathematica Sinica, Chinese Series, 2003, 46(4): 691-696 https://doi.org/10.12386/A2003sxxb0092
