Frequently hypercyclic sequences of differential operators on the space of entire functions
Complex Variables
2026-02-24 v1 Dynamical Systems
Abstract
A criterion to obtain frequent hypercyclicity for a sequence of convolution operators on the space of entire functions on the complex plane is provided. The criterion involves that the generating functions of the operators do not vanish on an appropriate annulus, in the boundary of which the modulus of each term of the sequence is in some sense controlled by the preceding ones or the following ones.
Keywords
Cite
@article{arxiv.2602.19343,
title = {Frequently hypercyclic sequences of differential operators on the space of entire functions},
author = {L. Bernal-González and M. C. Calderón-Moreno and J. A. Prado-Bassas},
journal= {arXiv preprint arXiv:2602.19343},
year = {2026}
}