CHARACTERIZATIONS OF PRINCIPAL SHIFT-INVARIANT SPACES

CHARACTERIZATIONS OF PRINCIPAL SHIFT-INVARIANT SPACES

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摘要 Shifts-invariant spaces in L 1(R) are investigated. First,based on a study of the system of linearly difference operators,the method of constructing generators with linearly independent shifts is provided. Then the characterizations of the closed shift-invariant subspaces in L 1(R) are given in terms of such generators and the local basis of shift-invariant subspaces. Shifts-invariant spaces in L 1(R) are investigated. First,based on a study of the system of linearly difference operators,the method of constructing generators with linearly independent shifts is provided. Then the characterizations of the closed shift-invariant subspaces in L 1(R) are given in terms of such generators and the local basis of shift-invariant subspaces.

作者 Wu ZhengchangDept. of Math.,Zhejiang Univ.,Hangzhou 310027,China.

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第3期291-300,共10页 高校应用数学学报（英文版）（B辑）

基金 the National Natural Science Foundation of China(1 0 0 71 0 71 )

关键词 shift-invariant spaces difference operators linearly independent shifts generator. shift-invariant spaces, difference operators, linearly independent shifts, generator.

分类号 O177 [理学—基础数学]

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Applied Mathematics(A Journal of Chinese Universities)

2002年第3期

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CHARACTERIZATIONS OF PRINCIPAL SHIFT-INVARIANT SPACES

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