Multivariate irregular sampling theorem  

作　　者：CHEN GuangGui FANG GenSun 

机构地区：[1]School of Mathematics and Computer Engineering,Xihua University,Chengdu 610039,China [2]School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics and Complex Systems,Ministry of Education,Beijing 100875,China

出　　处：《Science China Mathematics》2009年第11期2469-2478,共10页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 10671019);Research Fund for the Doctoral Program Higher Education (Grant No. 20050027007);Key Project of Technology Bureau of Sichuan Province (Grant No. 05JY029-138)

摘　　要：In this paper,we prove a Marcinkiewicz-Zygmund type inequality for multivariate entire functions of exponential type with non-equidistant spaced sampling points. And from this result,we establish a multivariate irregular Whittaker-Kotelnikov-Shannon type sampling theorem.In this paper, we prove a Marcinkiewicz-Zygmund type inequality for multivariate entire functions of exponential type with non-equidistant spaced sampling points. And from this result, we establish a multivariate irregular Whittaker-Kotelnikov-Shannon type sampling theorem.

关 键 词：Marcinkiewicz-Zygmund type inequality multivariate irregular sampling theorem entire function of exponential type 94A20 94A12 41A35 41A80 

分 类 号：TN911[电子电信—通信与信息系统]