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ON THE FREQUENT UNIVERSALITY OF UNIVERSAL TAYLOR SERIES IN THE COMPLEX PLANE

Part of: General theory of linear operators Universal holomorphic functions

Published online by Cambridge University Press:  10 June 2016

A. MOUZE  and
V. MUNNIER
A. MOUZE
Affiliation:
Laboratoire Paul Painlevé, UMR 8524, Université Lille 1, Cité Scientifique, 59650 Villeneuve d'Ascq, France e-mail: Augustin.Mouze@math.univ-lille1.fr
V. MUNNIER
Affiliation:
École Centrale de Lille, Cité Scientifique, CS20048, 59651 Villeneuve d'Ascq cedex, France e-mail: Vincent.Munnier@ec-lille.fr
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Abstract

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We prove that the classical universal Taylor series in the complex plane are never frequently universal. On the other hand, we prove the 1-upper frequent universality of all these universal Taylor series.

MSC classification

Primary: 30K05: Universal Taylor series
Secondary: 47A16: Cyclic vectors, hypercyclic and chaotic operators
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 59 , Issue 1 , January 2017 , pp. 109 - 117
Copyright
Copyright © Glasgow Mathematical Journal Trust 2016 

References

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