Analysis Seminar
Tuesday, 30 Jan. 2 pm
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Venue: Ramanujan hall
Host: Sourav Pal
Speaker: Himadri Halder
Affiliation: IIT Bombay
Title: Bohr's theorem for the polydisc and the symmetrized polydisc
Abstract: In this talk, we will discuss Bohr's theorem for the family of holomorphic functions in the polydisc and symmetrized polydisc. We obtain several new estimates of the multidimensional Bohr radius for polydisc. Moreover, we will also study Bohr's zone for the symmetrized polydisc. In addition, we will answer certain open questions related to the exact values of multidimensional Bohr radius by using the concept of arithmetic Bohr radius for vector-valued holomorphic functions defined in complete Reinhardt domains in \mathbb{C}^n. Our discussion will include several interesting earlier results as well as our recent works on Bohr's theorem problem.