On Completeness and Minimality of Random Exponential System in a Weighted Banach Space of Functions Continuous on the Real Line*

被引：0
作者：
Zhiqiang Gao
Guantie Deng
机构：
[1] Beijing Normal University,School of Mathematical Sciences
[2] Beijing Normal University,School of Mathematical Sciences
来源：
Chinese Annals of Mathematics, Series B | 2006年 / 27卷
关键词：
Complete; Minimal; Closure; Random exponential polynomials; 0E05; 41A30; 42A61; 42C30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the completeness and minimality properties of some random exponential system in a weighted Banach space of complex functions continuous on the real line for convex nonnegative weight are studied. The results may be viewed as a probabilistic version of Malliavin's classical results.
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页码：303 / 310
页数：7
相关论文
共 6 条
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  • [2] Chistyakov undefined(2001)undefined J. Math. Phys. 42 3754-undefined
  • [3] Deng undefined(2003)undefined J. Approx. Theory 125 1-undefined
  • [4] Malliavin undefined(1955)undefined Acta Math. 93 179-undefined
  • [5] Seip undefined(1996)undefined J. London Math. Soc. 53 560-undefined
  • [6] Seip undefined(1997)undefined Proc. Amer. Math. Soc. 125 1745-undefined
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