Reconstruction of functions in spline subspaces from local averages

被引：47

作者：

Sun, WC ^{[1
]}

Zhou, XW ^{[1
]}

机构：

[1] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 08期

关键词：

average sampling; sampling theorems; spline subspaces;

D O I：

10.1090/S0002-9939-03-07082-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the reconstruction of functions in spline subspaces from local averages. We present an average sampling theorem for shift invariant subspaces generated by cardinal B-splines and give the optimal upper bound for the support length of averaging functions. Our result generalizes an earlier result by Aldroubi and Grochenig.

引用

页码：2561 / 2571

页数：11

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