Dear Colleagues, 

You are most cordially invited to Yeditepe Mathematics Department 25th Year Seminars organized by the Department of Mathematics. The details of this week's talk are as follows.

Speaker: Dr. Sibel Şahin (MSGSU)

Topic: de Branges-Rovnyak spaces $H(b)$ from unit disc to unit ball of $\mathbb C^n$

Abstract: In this talk we will consider a special subclass of the Hardy-Hilbert space $H^2$ namely de Branges-Rovnyak spaces $H(b)$, first with an introduction of model spaces in the unit disc and then in the setting of the unit ball of $\mathbb C^n$. One of the main problems in the study of $H(b)$ functions is their integral representation and in this talk we will see how we can represent these classes through the Clark measure on $S^n$ associated with $b$. In the second part we will give a characterization of admissible boundary limits in relation with finite angular derivatives and we will see the interplay between Clark measures and angular derivatives showing that Clark measure associated with $b$ has an atom at a boundary point if and only if $b$ has finite angular derivative at the same point. More detailed analysis of the concepts mentioned in this  talk can be found in the following study.

Date:  October 15, 2021, Friday

Time: 16:00

Zoom: Contact Asst. Prof. Dr. Mehmet Akif ERDAL (mehmet.erdal@yeditepe.edu.tr) for the address.

You can find a copy of the flyer via this link. For a full list of this semester's seminar schedule, click on the link below!

https://researchseminars.org/seminar/7tepemathseminars