复指数函数系在Lpα空间中的完备性
A necessary and sufficient condition is obtained for the complex exponential system to be dense in the weighted Banach space Lpα = {f : f∞-∞ |f(t)e-α(t)|pdt ∞}, where 1 ≤ p + ∞and α(t) is a nonnegative continuous function on R.
作 者： 闫峰 邓冠铁 YAN Feng DENG Cuan Tie 作者单位： 闫峰,YAN Feng(Sch. Math. Sci. & Lab. Math. Com. Sys., Beijing Normal University, Beijing 100875, China;Department of Mathematics, Handan College, Hebei 056004, China)邓冠铁,DENG Cuan Tie(Sch. Math. Sci. & Lab. Math. Com. Sys., Beijing Normal University, Beijing 100875, China)
刊 名： 数学研究与评论 ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION 年，卷(期)： 2008 28(3) 分类号： O174.5 O174.52 关键词： completeness complex exponential system approximation