Universal approximation theorem for Dirichlet series

O. Demanze and A. Mouze

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-11

Abstract:

The paper deals with an extension theorem by Costakis and Vlachouon simultaneous approximation for holomorphic function to the setting of Dirichlet series, which are absolutely convergent in the right half of the complex plane. The derivation operator used in the analytic case is substituted by a weighted backward shift operator in the Dirichlet case. We show the similarities and extensions in comparing both results. Several density results are proved that finally lead to the main theorem on simultaneousapproximation.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:037014

DOI: 10.1155/IJMMS/2006/37014

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