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arXiv 2014-12-05 0 views

Common hypercyclic functions for translation operators with large gaps II

Tsirivas, Nikos

Original · EN

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 reflects the uncountable family lies on the unit circle. On the other hand the sequence of translations is in a sense less restrictive if it is to be compared with the corresponding sequence in [34]. Our result largely extends a result of Costakis in [19].

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