Research

Analysis
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Friday, September 20, 2024

Title: On the boundary behavior of analytic functions
Speaker: Arthur Danielyan
Time: 4:00pm–5:00pm
Place: CMC 130

Abstract

We present a new property of bounded analytic functions in the unit disc which directly implies some classical theorems due to N. N. Lusin, A. J. Lohwater and G. Piranian, and A. Beurling. An application of the method for the concept of natural boundary of power series will be given. (The students familiar with the rudiments of analytic function theory and Lebesgue measure will be able to follow the talk and are welcome.)