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EXPONENTIAL POLYNOMIAL APPROXIMATION OF WEIGHTED BANACH SPACE ON ℝn

Published online by Cambridge University Press:  02 August 2012

XIANGDONG YANG*
Affiliation:
Department of Mathematics, Kunming University of Science and Technology, Kunming 650093, Yunnan Province, China e-mail: [email protected]
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Abstract

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Necessary and sufficient conditions for the incompleteness of exponential system in Cα are characterised, where Cα is the weighted Banach space of complex continuous functions f defined on ℝn with f(t)exp(−α(t)) vanishing at infinity in the uniform norm.

Keywords

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

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