UCD School of Mathematics and Statistics Seminars

Konstantinos Maronikolakis

will speak on

Properties of Abel universal functions III: invariance under composition

Time: 3:00PM
Date: Tue 7th November 2023
Location: E0.32 (beside Pi restaurant) [map]

Further information

Abstract: A holomorphic function on the unit disc $\mathbb{D}$ is called Abel universal if the family of its dilates is dense in the space of continuous functions on K, for any proper compact subset K of the unit circle. It has been recently shown that the class of Abel universal functions is residual in the space of holomorphic functions on $\mathbb{D}$. In this talk, I will discuss the invariance of this class under composition from the right and from the left, and give an application to algebrability. (Joint work with St\'ephane Charpentier and Myrto Manolaki)

https://ucd-ie.zoom.us/j/69130306083

(This talk is part of the Analysis series.)

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