On the Closure of Complex Exponential System in Weighted Banach Space  

作　　者：Yun Xia LI Guan Tie DENG 

机构地区：[1]Department of Mathematics,Chuxiong Normal University,Yunnan 675000,P.R.China [2]School of Mathematical Sciences and Key Laboratory of Mathematics and Complex System,Ministry of Education,Beijing Normal University,Beijing 100875,P.R.China

出　　处：《Journal of Mathematical Research and Exposition》2011年第6期1067-1073,共7页数学研究与评论（英文版）

基　　金：Supported by the Applied Fundamental Research Project of Yunnan Province (Grant No.2007A229M);the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.20060027023)

摘　　要：In this paper,closure of the linear span on complex exponential system in weighted Banach space Lαp is studied.Each function in the closure of complex exponential system can be extended to an entire function represented by Taylor-Dirichlet series.In this paper,closure of the linear span on complex exponential system in weighted Banach space Lαp is studied.Each function in the closure of complex exponential system can be extended to an entire function represented by Taylor-Dirichlet series.

关 键 词：INCOMPLETENESS CLOSURE exponential system Taylor-Dirichlet series. 

分 类 号：O177.2[理学—数学] TN919.8[理学—基础数学]