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.

引用

页码：2641 / 2654

页数：14

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