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復(fù)指數(shù)函數(shù)系在Lpα空間中的完備性
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: 閆峰 鄧冠鐵 YAN Feng DENG Cuan Tie 作者單位: 閆峰,YAN Feng(Sch. Math. Sci. & Lab. Math. Com. Sys., Beijing Normal University, Beijing 100875, China;Department of Mathematics, Handan College, Hebei 056004, China)鄧冠鐵,DENG Cuan Tie(Sch. Math. Sci. & Lab. Math. Com. Sys., Beijing Normal University, Beijing 100875, China)
刊 名: 數(shù)學(xué)研究與評(píng)論 ISTIC PKU 英文刊名: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION 年,卷(期): 2008 28(3) 分類(lèi)號(hào): O174.5 O174.52 關(guān)鍵詞: completeness complex exponential system approximation【復(fù)指數(shù)函數(shù)系在Lpα空間中的完備性】相關(guān)文章:
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