Multiplicative structures of hypercyclic functions for convolution operators
Functional Analysis
2017-10-31 v1 Complex Variables
Group Theory
Abstract
In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the convolution operator associated to a given entire function of subexponential type. A certain stability under multiplication is also shown for compositional hypercyclicity on complex domains.
Cite
@article{arxiv.1710.10413,
title = {Multiplicative structures of hypercyclic functions for convolution operators},
author = {Luis Bernal-González and J. Alberto Conejero and George Costakis and Juan B. Seoane-Sepúlveda},
journal= {arXiv preprint arXiv:1710.10413},
year = {2017}
}
Comments
12 pages