Optimal growth of harmonic functions frequently hypercyclic for the partial differentiation operator

Clifford Gilmore, Eero Saksman, Hans-Olav Tylli

We solve a problem posed by Blasco, Bonilla and Grosse-Erdmann in 2010 by constructing a harmonic function on ${\mathbb{R}}^N$, that is frequently hypercyclic with respect to the par…