Common hypercyclic entire functions for multiples of differential operators
Volume 111 / 2008
Colloquium Mathematicum 111 (2008), 199-203
MSC: Primary 47A16.
DOI: 10.4064/cm111-2-3
Abstract
The purpose of the present note is to prove the existence of common hypercyclic entire functions for the family of differential operators $\{ \lambda p(D) :\lambda \in \mathbb{C} \setminus \{ 0\} \}$, where $D$ is the differentiation operator acting on the space of entire functions and $p$ a non-constant polynomial.
