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

George Costakis; Nikos Tsirivas; Vagia Vlachou

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arXiv · 1412.1461

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

George Costakis·Nikos Tsirivas·Vagia Vlachou

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Abstract

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

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George Costakis, Nikos Tsirivas, Vagia Vlachou. 2014-12-03. Non-existence of common hypercyclic entire functions for certain families of translation operators. https://arxiv.org/abs/1412.1461

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