Abstract
How large can the sum of moduli of the terms of a convergent power series be? Harald Bohr addressed this question in 1914 and as a result, he finds a subdisk in the unit disk under which the absolute sum of the Taylor series expansion of the bounded analytic function, bounded by one, is defined in the unit disk is also bounded by one. In this seminar, I will present the proof and generalizations of this remarkable result.
Speaker
Dr. Shankey Kumar
Date/Time
Venue
SMS, Seminar Hall