摘要
对直线上的非负凸函数α,设Cα是由直线R上所有满足当t趋向无穷大时,f(t)exp(-α(t))趋向零的复连续函数f全体,在一致范数下,Cα是Banach空间.文中得到了复指数系在Cα中完备的充要条件.
In this paper, for some nonnegative convex functions a on the real axis, the author obtains a necessary and sufficient condition for the completeness of complex exponential system in Cα, where Cα is the Banach space of complex continuous functions f on the real axis with fe^-α vanishing at infinity, in the uniform norm.
出处
《数学年刊（A辑）》
CSCD
北大核心
2005年第4期537-542,共6页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.10371011No.10071005)教育部留学回国人员科研启动基金资助的项目.
