A Construction of Multiresolution Analysis on Interval  

作　　者：Di Rong CHEN Dao Hong XIANG 

机构地区：[1]Department of Mathematics, and LMIB, Beijing University of Areonautics and Astronautics, Beijing 100083, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2007年第4期705-710,共6页数学学报（英文版）

基　　金：Research supported in part by NSF of China under Grant 10571010 and 10171007

摘　　要：We present a concrete method of constructing multiresolution analysis on interval. The method generalizes the corresponding results of Cohen, Daubechies and Vial [Appl. Comput. Harmonic Anal., 1（1993）, 54-81]. By the use of the subdivision operator, the expressions of the constructed functions are more compact. Furthermore, the method reveals more clearly some properties of multiresolution analysis with certain approximation order.We present a concrete method of constructing multiresolution analysis on interval. The method generalizes the corresponding results of Cohen, Daubechies and Vial [Appl. Comput. Harmonic Anal., 1（1993）, 54-81]. By the use of the subdivision operator, the expressions of the constructed functions are more compact. Furthermore, the method reveals more clearly some properties of multiresolution analysis with certain approximation order.

关 键 词：Multiresolution analysis Refinable function Approximation order Subdivision operator 

分 类 号：O211[理学—概率论与数理统计]