Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 411-416.

• Articles • Previous Articles     Next Articles

On Completeness of Random Exponential System in Fock-type Space

 YANG Xiang-Dong, YI Cai-Feng   

  1. Department of Mathematics, Kunming University of Science and Technology, Kunming 650093;School of Mathematics and Informatics, Jiangxi Normal University, Nanchang 330027
  • Received:2008-02-03 Revised:2009-04-11 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    云南省教育厅基础科学研究基金(09-Y0079)和云南省应用基础研究基金(2009ZC013X)资助.

Abstract:

The authors take a new approach to study the random exponential approximation problem in Fock-type space which consists of entire functions satisfying
( ∫∫C| f(z)|pe-α(|z|)dmz)1/p < ∞  (1 < p < ∞)

The same problem on weighted Banach space on the real axis is considered.

Key words: Completeness, Fock-type space, Random exponential system

CLC Number: 

  • 30E20
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