Universality of Composition Operators and Applications to Holomorphic Dynamics
Complex Variables
2016-03-04 v1
Abstract
By investigating which level of universality composition operators can have, where the symbol is given by the restriction of a transcendental entire function to suitable parts of the Fatou set of , this work combines the theory of dynamics of continuous linear operators on spaces of holomorphic functions with the theory of non-linear complex dynamics on the complex plane.
Cite
@article{arxiv.1603.01091,
title = {Universality of Composition Operators and Applications to Holomorphic Dynamics},
author = {Andreas Jung},
journal= {arXiv preprint arXiv:1603.01091},
year = {2016}
}