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Universality of Composition Operators and Applications to Holomorphic Dynamics

Research paper by Andreas Jung

Indexed on: 03 Mar '16Published on: 03 Mar '16Published in: Mathematics - Complex Variables



Abstract

By investigating which level of universality composition operators $C_f$ can have, where the symbol $f$ is given by the restriction of a transcendental entire function to suitable parts of the Fatou set of $f$, 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.