THE RECOVERY OF FUNCTIONS OF PALEY-WIENER CLASS FROM IRREGULAR SAMPLINGS

作     者：房艮孙 陈雪冬 Fang Gensun Chen XuedongDepartment of Mathematics, Beijing Normal University, Beijing 100875, China

作者机构：Department of Mathematics Beijing Normal University Beijing 100875 China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2002年第22卷第4期

页      面：466-472页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

基　　金：The project supported by National Natural Science Foundation of China(10071006) Doctoral Programme Foundation of State Education Commission 

主　　题：tempered spline interpolation Paley-Wienerclass Riesz bases 

摘      要：It is shown that a function f which is in the classical Paley-Wiener class, and its k-th derivative f((k)) can be recovered in the metric L-q (R), 2 q infinity, from its values on irregularly distributed discrete sampling set {t(j)}(j)is an element ofz as limits of polynomial spline interpolation when the order of the splines goes to infinity, where {t(j)}(jis an element ofz) is a real sequence such that {e(j)(it)(zeta)} j(is an element ofz) constitutes a Riesz basis for L-2([-pi, pi]).