Geodesic
Common hypercyclic entire functions for multiples of differential operators
George Costakis1 ; Panagiotis Mavroudis1
1 Department of Mathematics University of Crete Knossos Avenue GR-714 09 Heraklion, Crete, Greece
Colloquium Mathematicum, Tome 111 (2008) no. 2, pp. 199-203.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm111-2-3
Keywords: purpose present note prove existence common hypercyclic entire functions family differential operators lambda lambda mathbb setminus where differentiation operator acting space entire functions non constant polynomial

George Costakis 1 ; Panagiotis Mavroudis 1

1 Department of Mathematics University of Crete Knossos Avenue GR-714 09 Heraklion, Crete, Greece 
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George Costakis; Panagiotis Mavroudis. Common hypercyclic entire functions for
 multiples of differential operators. Colloquium Mathematicum, Tome 111 (2008) no. 2, pp. 199-203. doi : 10.4064/cm111-2-3. http://geodesic.mathdoc.fr/articles/10.4064/cm111-2-3/

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