Homogeneous Approximation Property for Wavelet Frames with Matrix Dilations,Ⅱ  

作　　者：Zhi Jing ZHAO Wen Chang SUN 

机构地区：[1]Department of Mathematics and LPMC, Nankai University

出　　处：《Acta Mathematica Sinica,English Series》2013年第1期183-192,共10页数学学报（英文版）

基　　金：Supported partially by National Natural Science Foundation of China(Grant Nos.10971105and10990012);Natural Science Foundation of Tianjin(Grant No.09JCYBJC01000)

摘　　要：The homogeneous approximation property （HAP） states that the number of building blocks involved in a reconstruction of a function up to some error is essentially invariant under time-scale shifts. In this paper, we show that every wavelet frame with nice wavelet function and arbitrary expansive dilation matrix possesses the HAP. Our results improve some known ones.The homogeneous approximation property （HAP） states that the number of building blocks involved in a reconstruction of a function up to some error is essentially invariant under time-scale shifts. In this paper, we show that every wavelet frame with nice wavelet function and arbitrary expansive dilation matrix possesses the HAP. Our results improve some known ones.

关 键 词：Wavelet frames homogeneous approximation property HAP matrix dilations 

分 类 号：O151.21[理学—数学]