Exponential Polynomial Approximation with Unrestricted Upper Density
Received:February 05, 2009  Revised:October 14, 2009
Key Words: incompleteness   Banach space   exponential system.  
Fund Project:Supported by the Basic Research Foundation of Yunnan Province (Grant No.2009ZC013X) and the Basic Research Foundation of Education Bureau of Yunnan Province (Grant No.09Y0079).
Author NameAffiliation
Xiang Dong YANG Department of Mathematics, Kunming University of Science and Technology, Yunnan 650093, P. R. China 
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Abstract:
      We take a new approach to obtaining necessary and sufficient conditions for the incompleteness of exponential polynomials in $L^{p}_{\alpha}$, where $L^{p}_{\alpha}$ is the weighted Banach space of complex continuous functions $f$ defined on the real axis $\mathbb{R}$ satisfying $(\int_{-\infty}^{ \infty}|f(t)|^{p}e^{-\alpha(t)}\d t)^{1/ p}$, $1
Citation:
DOI:10.3770/j.issn:1000-341X.2011.02.020
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