Incompleteness of Complex Exponential System in L_α~p Space  

作　　者：Xie Quan FAN Guan Tie DENG 

机构地区：[1]Key Laboratory of Mathematics and Complex Systems,Ministry of Education,China,School of Mathematical Sciences,Beijing Normal University,Beijing 100875,P.R.China

出　　处：《Journal of Mathematical Research and Exposition》2010年第6期1078-1082,共5页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.10671022);the Research Fundfor the Doctoral of Higher Education (Grant No.20060027023)

摘　　要：A necessary and sufficient condition is obtained for the incompleteness of complex exponential system in the weighted Banach space Lαp = {f：∫＋∞∞ ｜f（t）e-α（t）｜pdt ＋∞},where 1 ≤ p ＋∞ and α（t） is a weight on R.A necessary and sufficient condition is obtained for the incompleteness of complex exponential system in the weighted Banach space Lαp = {f：∫＋∞∞ ｜f（t）e-α（t）｜pdt ＋∞},where 1 ≤ p ＋∞ and α（t） is a weight on R.

关 键 词：INCOMPLETENESS exponential system approximation. 

分 类 号：O174.5[理学—数学] O174.52[理学—基础数学]