Universality and ultradifferentiable functions: Fekete’s theorem

Mouze, A.; Nestoridis, V.

doi:10.1090/S0002-9939-10-10380-3

Universality and ultradifferentiable functions: Fekete’s theorem
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by A. Mouze and V. Nestoridis

Proc. Amer. Math. Soc. 138 (2010), 3945-3955

DOI: https://doi.org/10.1090/S0002-9939-10-10380-3

Published electronically: May 7, 2010

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Abstract:

The purpose of this article is to establish extensions of Fekete’s Theorem concerning the existence of universal power series of $C^{\infty }$ functions defined by estimates on successive derivatives.

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