Sampling Expansions in Reproducing Kernel Hilbert and Banach Spaces

作     者：Han, Deguang Nashed, M. Zuhair Sun, Qiyu 

作者机构：Univ Cent Florida Dept Math Orlando FL 32816 USA 

出 版 物：《NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION》 (数值函数分析与最佳化)

年 卷 期：2009年第30卷第9-10期

页      面：971-987页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Frames p-frames Reproducing kernel Banach spaces Reproducing kernel Hilbert spaces Sampling 

摘      要：Given a countable subset of a set , we investigate the construction of all the reproducing kernel Hilbert (resp. Banach) spaces on that have as a sampling (resp. p-sampling) set. Unlike the general p-frames, we prove that every p-sampling set for a reproducing kernel Banach space yields a reconstruction formula. Some applications are given to demonstrate the general construction.