Incompleteness of exponential system in the weighted Banach space |
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| Authors: | Xiangdong Yang |
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| Institution: | aDepartment of Mathematics, KunMing University of Science and Technology, 650093 KunMing, YunNan Province, People's Republic of China |
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| Abstract: | We take a new approach to obtain necessary and sufficient condition for the incompleteness of exponential system in Cα, where Cα is the weighted Banach space of complex continuous functions f defined on the real axis  with f(t)exp(-α(t)) vanishing at infinity, in the uniform norm. |
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| Keywords: | Incompleteness Banach space Exponential system |
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