Minimality and Closeure of Random Exponential Systems

Feng Yan; Xiao Ling Liu; Su Mei Zhang

doi:10.4028/www.scientific.net/AMM.130-134.188

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 130-134Minimality and Closeure of Random Exponential...

Minimality and Closeure of Random Exponential Systems

Abstract:

In this paper, we study the minimality properties of random exponential systems in , where is a weighted Banach space of complex continuous functions of on with vanishing at infinity, in the uniform norm with respect to the weight . We prove that, if is incomplete in , then is minimal and each function in can be extended to an entire function respresented by a Dirichlet series.

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Periodical:

Applied Mechanics and Materials (Volumes 130-134)

Pages:

188-190

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.130-134.188

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Online since:

October 2011

Authors:

Feng Yan, Xiao Ling Liu, Su Mei Zhang

Keywords:

Closure, Random Exponential Systems, Weighted Banach Space

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