Mayya Golitsyna

will speak on

Overconvergence of Series and Potential Theory

Time: 4:00PM
Date: Tue 26th January 2021
Location: Seminar Room SCN 1.25 [map]

Further information

Abstract: Let h be a harmonic function on a domain W in R^N, where W contains the unit ball B. Suppose that a subsequence of the partial sums of the harmonic homogeneous polynomial expansion of h about 0 is locally uniformly bounded on a subset E lying outside B. Then, depending on the nature of E, it may be possible to infer additional information about the convergence of this subsequence on W. This phenomenon is the main focus of the talk. In addition, I will present applications of these results to the theory of universal homogeneous polynomial expansions of harmonic functions and give a brief overview of similar properties of Dirichlet series on the complex plane.

(This talk is part of the Analysis series.)

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