Locally finite dimensional shift-invariant paces in rd

被引：6
|
作者：
Aldroubi, A [1 ]
Sun, Q
机构：
[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA
[2] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 09期
关键词：
fractional Sobolev spaces; Holder continuous; distributions;
D O I：
10.1090/S0002-9939-02-06423-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that a locally finite dimensional shift-invariant linear space of distributions must be a linear subspace of some shift-invariant space generated by finitely many compactly supported distributions. If the locally finite dimensional shift-invariant space is a subspace of the Holder continuous space C-alpha or the fractional Sobolev space L-p,L-gamma, then the superspace can be chosen to be C-alpha or L-p,L-gamma, respectively.
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页码：2641 / 2654
页数：14
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