讨论框架多分辨分析{Vj}j∈Z的子空间V1中若干个二元函数生成小波紧框架的条件.运用矩阵理论、泛函分析方法与逼近论思想,给出s(s≥3)个二元函数生成小波紧框架的充分条件.
It is discussed that the conditions on wavelet tight frames which are generated by several bivariate functions ψ^1, ψ^2,…,ψ^5∈ V1 of a frame multiresolution analysis { Vj }j∈Z.A sufficient condition for the existence of wavelet tight frames generated from those functions is presented by virtue of matrix theory, functioanal analysis methods and ideas of approximation.