Summation and intersection of refinable shift invariant spaces  

作　　者：DAI XinRong SONG JunQuan 

机构地区：[1]School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou 510275, China [2]Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China

出　　处：《Science China Mathematics》2011年第10期2087-2097,共11页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 10871180);Projects of International Cooperation and Exchanges NSFC-NSF (Grant No. 10911120394)

摘　　要：We study shift invariant spaces generated by refinable distributions. We classify the summation and the intersection of shift invariant spaces generated by refinable distributions,and prove that they are also shift invariant spaces generated by refinable distributions.We study shift invariant spaces generated by refinable distributions. We classify the summation and the intersection of shift invariant spaces generated by refinable distributions, and prove that they are also shift invariant spaces generated by refinable distributions.

关 键 词：refinable distribution shift invariant space linearly independent property 

分 类 号：O178[理学—数学] U491.114[理学—基础数学]