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《Acta Mathematica Scientia》 2007-03
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Closure of Exponential Polynomials in a Half Strip

Deng Guantie (Schoole of Mathematical Sciences,Beijing Normal University,Beijing 100875)  
In this paper,the author obtains a necessary and sufficient condition for the in- completeness of complex exponential polynomials in the Banach space H_αconsisting of all continuous functions f on the closed right half strip I_α={z=x+iy:x≥0,|y|≤α}(α>0), analytic in its interior and such that f(z) vanishing uniformly at infinity.The author also proves that,if some conditions of incompleteness hold,then each function in the closure of the set of complex exponential polynomials can be extended to an analytic function represented by a Dirichlet series.
【Fund】: 国家自然科学基金(10371011、10071005);; 教育部留学回国人员科研启动基金资助
【CateGory Index】: O174.5
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【References】
Chinese Journal Full-text Database 1 Hits
1 CHEN Guodong DENG Guantie(School of Mathematical Sciences,Key Leboratory of Mathematics and Complex Systems of Ministry of Education,Beijing Normal University,100875,Beijing,China);COMPLETENESS OF COMPLEX EXPONENTIAL POLYNOMIALS IN A HALF STRIP[J];Journal of Beijing Normal University(Natural Science);2008-04
【Co-citations】
Chinese Journal Full-text Database 2 Hits
1 Yang Xiangdong Deng Guantie (Department of Mathematics,Beijing Normal University,Beijing 100875);On the Completeness and Closure of Random Systems {t~(λ_n)(ω)} in a Weighted Banach Space[J];Acta Mathematica Scientia;2008-03
2 YAN Feng~(1,2) DENG Guaa Tie~1 (1.Sch.Math.Sci.& Lab.Math.Com.Sys.,Beijing Normal University,Beijing 100875,China; 2.Department of Mathematics,Handan College,Hebei 058004,China);Completeness of Complex Exponential System in L_α~p Space[J];Journal of Mathematical Research and Exposition;2008-03
【Co-references】
Chinese Journal Full-text Database 2 Hits
1 Deng Guantie(College of Mathematical Sciences, Beijing Normal University, 100875, Beijing, China);COMPLETENESS OF COMPLEX EXPONENTIAL POLYNOMIALS IN A HALF STRIP[J];Journal of Beijing Normal University(Natural Science);2005-04
2 Hu Haijuan Deng Guantie(School of Mathematical Sciences,Beijing Normal University,100875,Beijing,China);COMPLETENESS OF COMPLEX EXPONENTIAL POLYNOMIALS IN HARDY SPACES[J];Journal of Beijing Normal University(Natural Science);2007-01
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