摘要
通过方向多分辨分析把由一个函数生成的多频率小波推广到由有限个函数生成的多频率小波 .给出由函数 1 ,… ,n,ψ1 ,… ,ψn(2 j1+j2 - 1 ) 的平移生成 Vj(1) 空间的 Riesz基的充分必要条件 。
Multi-frequency wavelets,via directional multi-resolution analysis,generated by a single function is extended to wavelets generated by a finite number of functions.Necessary and sufficient conditions for translates of 1,..., n,ψ 1,...,ψ n(2 j 1+j 2-1)form a Riesz basis for V j(1) are derived.The decomposition of wavelets generated by a finite number of functions is given.
出处
《纯粹数学与应用数学》
CSCD
2003年第1期94-98,共5页
Pure and Applied Mathematics
基金
国防预研基金 (W0 0 0 T4 )
关键词
方向多分辨分析
小波基
directional multi-resolution analysis,wavelets
