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math.FA2014★ 6 cited
Common hypercyclic functions for translation operators with large gaps II
Nikos Tsirivas
We prove the existence of common hypercyclic entire functions for uncountable families of translation type operators. Contrary to our previous work [34], here the parameter which r…
math.FA2014★ 1 cited
Non-existence of common hypercyclic entire functions for certain families of translation operators
George Costakis, Nikos Tsirivas, Vagia Vlachou
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.
math.FA2014★ 1 cited
Common hypercyclic functions for translation operators with large gaps
Nikos Tsirivas
We prove the existence of common hypercyclic, entire functions for certain uncountable families of traslation type operators with relative large gaps.