Konstantinos Maronikolakis

will speak on

Properties of Abel universal functions II: boundary behaviour

Time: 3:00PM
Date: Tue 31st October 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 a wide range of boundary properties of Abel universal functions such as local growth, existence of Picard points and asymptotic values. Moreover, I will make comparisons with other well-known classes of holomorphic functions. (Joint work with St\'ephane Charpentier and Myrto Manolaki)

(This talk is part of the Analysis series.)

PDF notice

Return to all seminars