Affine Pseudoframes of the L~2(R)
Delin Hua · Shuxue de shijian yu renshi · 2011
The notion of a generalized multiresolution structure biorthogonal wavelets is introduced,and the concept of affine pseudoframes of L~2(R)is given.The pyramid decomposition scheme of a generalized multiresolution structure is presented,which is similar to Mallat'spyramid algorithm.Anecessary and sufficient condition for the existence of the pyramid decomposition scheme is presented.Moreover,affine frame pseudoframe expansions of L~2(R)are constructed by virtue of the pyramid decomposition scheme.