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| On Completeness and Minimality of Random Exponential System in a Weighted Banach Space of Functions Continuous on the Real Line |
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Citation： |
Zhiqiang GAO,Guantie DENG.On Completeness and Minimality of Random Exponential System in a Weighted Banach Space of Functions Continuous on the Real Line[J].Chinese Annals of Mathematics B,2006,27(3):303~310 |
| Page view： 1123
Net amount： 966 |
Authors： |
Zhiqiang GAO; Guantie DENG |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10371005) and the Scientific
Research Foundation of the Ministry of Education of China for Returned Overseas Chinese Scholars. |
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| Abstract： |
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. |
Keywords： |
Complete, Minimal, Closure, Random exponential polynomials |
Classification： |
30E05, 41A30, 42A61, 42C30 |
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