Description of quasi-semi-biorthogonal fractional multiwavelet frame
Based on the semi-orthogonal fractional multiwavelet frames and using multi-resolution analysis,functional analysis and matrix theory are used to study the characteristics of the mul-tivariate wavelet framework on L2(R).The semi-orthogonal fractional multiwavelet frames are generalized to the quasi-semi-biorthogonal fractional multiwavelet framework,equivalence condi-tions for a strictly quasi-biorthogonal fractional multiwavelet frames are obtained.Prove that the generalized multiresolution analytical fractional gauge dual multiwavelet framework and the quasi-biorthogonal fractional gauge dual multiwavelet framework satisfy the equivalence relation.