Speaker：Kunyu Guo (Fudan University)

Time：2024-9-12, 15:00

Location：Conference Room C503 at Administration Building at Haiyun Campus

Abstract:

This talk is associated with Nevanlinna class, Dirichlet series and Szego's problem in infinitely many variables. As we will see, there is a natural connection between these topics. We first introduce the Nevanlinna class and the Smirnov class in this context, and generalize the classical theory of finitely many variables to infinte-variable setting. We also apply these results to Szego's problem on Hardy spaces in infinitely many variables. Furthermore, we are also devoted to studying the correspondence between the Nevanlinna functions and Dirichlet series.