摘要
本文把通过方向多分辨分析构造的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n2 j1+j2 个函数 φ1 ,… ,φn,ψ1 ,… ,ψn( 2 j1+ j2 - 1 ) 的平移生成Vj( 1)
In this paper,multifrequency wavelets,vi a d irectional multiresolution analysis,generated by a single function is extended to wavelets generated by a finite number of functions.We derive necessary and s ufficient conditions for translates of φ 1,…,φ n,ψ 1,…,ψ n(2 j 1+j 2 -1) form a Riesz basis for V j (1) ,and some of the b asic mathematical structures.
出处
《应用数学》
CSCD
北大核心
2003年第4期89-95,共7页
Mathematica Applicata
基金
Supportedbynationaldefenceresearchfoundation(WOOOT4 5)
