Minimality of Complex Exponential System  

作　　者：Feng VAN Guan Tie DENG 

机构地区：[1]1. Department of Mathematics, Handan College, Heibei 056005, P. R. China [2]Schol 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4期681-686,共6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 Foundation for Doctor Programme (Grant No.20060027023)

摘　　要：A sufficient condition is obtained for the minimality of the complex exponential system E（A, M） = {z^le^λnz： l = 0, 1,,.., mn - 1; n = 1, 2,...} in the Banaeh space La^p consisting of all functions f such that f^-a ∈ LP（N）. Moreover, if the incompleteness holds, each function in the closure of the linear span of exponential system E（A, M） can be extended to an analytic function represented by a Taylor-Dirichlet series.A sufficient condition is obtained for the minimality of the complex exponential system E（A, M） = {z^le^λnz： l = 0, 1,,.., mn - 1; n = 1, 2,...} in the Banaeh space La^p consisting of all functions f such that f^-a ∈ LP（N）. Moreover, if the incompleteness holds, each function in the closure of the linear span of exponential system E（A, M） can be extended to an analytic function represented by a Taylor-Dirichlet series.

关 键 词：MINIMALITY complex exponential system Taylor-Dirichlet series. 

分 类 号：O174.5[理学—数学] O174.52[理学—基础数学]