Interpolation of functions from generalized Paley-Wiener spaces

被引：4
|
作者：
Lyubarskii, Y
Madych, WR
机构：
[1] Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway
[2] Univ Connecticut, Dept Math, Storrs, CT 06269 USA
来源：
JOURNAL OF APPROXIMATION THEORY | 2005年 / 133卷 / 02期
关键词：
Paley-Wiener spaces; complete interpolating sequences; delta problem; divided differences;
D O I：
10.1016/j.jat.2004.12.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the problem of reconstruction of functions f from generalized Paley-Wiener spaces in terms of their values on complete interpolating sequence {z(n)}. We characterize the set of data sequences {f (z(n))} and exhibit an explicit solution to the problem. Our development involves the solution of a particular partial derivative problem. (c) 2005 Elsevier Inc. All rights reserved.
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页码：251 / 268
页数：18
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