Invariance of shift-invariant spaces 被引量：1

Invariance of shift-invariant spaces

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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.

作者 ZHANGQingYue SUNWenChang

机构地区 Department

出处《Science China Mathematics》 SCIE 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)

关键词 shift-invariant spaces translation-invariant spaces 1/n-translation system 平移不变子空间变性有限生成非整数

分类号 O174.41 [理学—基础数学] TS214.2 [轻工技术与工程—粮食、油脂及植物蛋白工程]

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引证文献1

1Rui LI,Bei LIU,Rui LIU,Oing Yue ZHANG.The Lp,q-stability of the Shifts of Finitely Many Functions in Mixed Lebesgue Spaces Lp,q(Rd+1)[J].Acta Mathematica Sinica,English Series,2018,34(6):1001-1014.

1Jun Jian ZHAO1,21.Department of Mathematics,Tianjin Polytechnic University,Tianjin 300160,P.R.China,2.College of Applied Sciences,Beijing University of Technology,Beijing 100124,P.R.China.A Note on Shift-Invariant Spaces Admitting a Single Generator[J].Journal of Mathematical Research and Exposition,2011,31(1):123-128.
2Jun XIAN,Song LI.General A-P Iterative Algorithm in Shift-invariant Spaces[J].Acta Mathematica Sinica,English Series,2009,25(4):545-552. 被引量：3
3Wu ZhengchangDept. of Math.,Zhejiang Univ.,Hangzhou 310027,China..CHARACTERIZATIONS OF PRINCIPAL SHIFT-INVARIANT SPACES[J].Applied Mathematics(A Journal of Chinese Universities),2002,17(3):291-300.
4L.M.Martyushev,A.P.Sergeev,P.S.Terentiev.Invariance of specific mass increment in the case of non-equilibrium growth[J].Chinese Physics B,2015,24(9):139-141.
5崔艳艳,王朝君,刘浩.THE INVARIANCE OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE β AND ORDER α[J].Acta Mathematica Scientia,2015,35(6):1454-1466.
6智红燕,常辉.Invariance of Painlev property for some reduced (1+1)-dimensional equations[J].Chinese Physics B,2013,22(11):146-151. 被引量：1

Science China Mathematics

2012年第7期

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Invariance of shift-invariant spaces 被引量：1

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