Common hypercyclic functions for translation operators with large gaps II
Functional Analysis
2014-12-08 v1
Abstract
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].
Cite
@article{arxiv.1412.1963,
title = {Common hypercyclic functions for translation operators with large gaps II},
author = {Nikos Tsirivas},
journal= {arXiv preprint arXiv:1412.1963},
year = {2014}
}