[Turkmath:6532] Analiz Semineri - 06.06.2024 - Minerva Han, Karaköy

[Ozgur Martin]

Değerli liste üyeleri,

6 Haziran, Perşembe günü, 15:00-16:00 arasında, Karaköy Minerva Han'da,
Myrto Manolaki (University College Dublin) bir konuşma verecektir.
Konuşmanın detaylarını aşağıda bulabilirsiniz. İlgilenen herkesi
bekliyoruz. Destekleri için Sabancı Üniversitesi ve Turgay Bayraktar'a
teşekkür ederiz.

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Dear list member,

Myrto Manolaki (University College Dublin) will give a talk in Karaköy
Minerva Han on June 6th, between 15:00-16:00. You can find the seminar
details below. We would like to thank Sabancı University and Turgay
Bayraktar for their support.

Saygılarımla,
Özgür Martin
MSGSÜ
Matematik Bölümü


*Date*: Thursday, June 06, 2024

*Time:* 15.00-16.00

*Place:* Karaköy Minerva Han, Bankalar Caddesi No:2, Karaköy, 34420 İstanbul


*Speaker: *Myrto Manolaki, University College Dublin


*Title:* Invariance of Abel universality under composition and applications


*Abstract:* This talk is concerned with a class of holomorphic functions on
the unit disc which have an extremely chaotic radial behaviour, namely the
class of *Abel universal functions*. More specifically, for each such
function *f*, the family {*f*_*r* : 0 < *r* < 1} of its dilates *f_r*(*z*)
:= *f*(*rz*) is dense in the space of continuous functions on *K*, for any
proper compact subset *K* of the unit circle. After presenting connections
with classical results and discussing the boundary behaviour of Abel
universal functions, we will focus on their invariance under composition
from the left and the right. As an application, we will see that the class
of Abel universal functions has a rich algebraic structure. (Joint work
with Stephane Charpentier and Konstantinos Maronikolakis.)
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