Non-existence of common hypercyclic entire functions for certain\n families of translation operators

2014/12/03 by George Costakis, Costakis, George, Nikos Tsirivas +3 · 1 citation
Mathematics · #Meromorphic and Entire Functions #Holomorphic and Operator Theory #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1412.1461

Abstract

We show that families of translation operators, where the translates grow\nexponentially fast, do not admit common hypercyclic functions. The result is\nclose to be optimal.\n

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• Common hypercyclic functions for translation operators with large gaps\n II

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