| On the Closure of Complex Exponential System in Weighted Banach Space |
| Received:August 26, 2009 Revised:January 19, 2010 |
| Key Words:
incompleteness closure exponential system Taylor-Dirichlet series.
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| Fund Project:Supported by the Applied Fundamental Research Project of Yunnan Province (Grant No.2007A229M) and the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.20060027023). |
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| Abstract: |
| In this paper, closure of the linear span on complex exponential system in weighted Banach space $L_{\alpha}^{p}$ is studied. Each function in the closure of complex exponential system can be extended to an entire function represented by Taylor-Dirichlet series. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.06.015 |
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