Hypercyclic behavior of some non-convolution operators on $H(\mathbb{C}^N)$
Functional Analysis
2015-05-19 v1 Complex Variables
Dynamical Systems
Abstract
We study hypercyclicity properties of a family of non-convolution operators defined on spaces of holomorphic functions on . These operators are a composition of a differentiation operator and an affine composition operator, and are analogues of operators studied by Aron and Markose on . The hypercyclic behavior is more involved than in the one dimensional case, and depends on several parameters involved.
Cite
@article{arxiv.1505.04731,
title = {Hypercyclic behavior of some non-convolution operators on $H(\mathbb{C}^N)$},
author = {Santiago Muro and Damián Pinasco and Martín Savransky},
journal= {arXiv preprint arXiv:1505.04731},
year = {2015}
}