Characterizations of principal shift-invariant spaces

被引：0
|
作者：
Wu Z. [1 ]
机构：
[1] Dept. of Math, Zhejiang Univ, Hangzhou
来源：
Applied Mathematics-A Journal of Chinese Universities | 2002年 / 17卷 / 3期
基金：
中国国家自然科学基金;
关键词：
Difference operators; Generator; Linearly independent shifts; Shift-invariant spaces;
D O I：
10.1007/s11766-002-0007-9
中图分类号：
学科分类号：
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. © 2002, Springer Verlag. All rights reserved.
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页码：291 / 300
页数：9
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