Invariance of shift-invariant spaces  

作　　者：ZHANGQingYue SUNWenChang 

机构地区：[1]Department0}MathematicsandLPMC。NankaiUniversity}Tianjin300071,China

出　　处：《Science China Mathematics》2012年第7期1395-1401,共7页中国科学：数学（英文版）

基　　金：supported partially by National Natural Science Foundation of China(Grant Nos. 10971105, 10990012);Natural Science Foundation of Tianjin (Grant No. 09JCYBJC01000)

摘　　要：In this paper, we give a characterization of shift-invariant subspaces which are also invariant under additional non-integer translations. Both principal and finitely generated shift-invariant subspaces are studied. Our results improve some known ones.In this paper, we give a characterization of shift-invariant subspaces which are also invariant under additional non-integer translations. Both principal and finitely generated shift-invariant subspaces are studied. Our results improve some known ones.

关 键 词：shift-invariant spaces translation-invariant spaces 1/n-translation system 

分 类 号：O174.41[理学—数学] TS214.2[理学—基础数学]