Seminar in Analysis w/ Nikos Stylianopoulos

Nikos Stylianopoulos, Department of Mathematics and Statistics, University of Cyprus, Nicosia, Cyprus

Title: On the boundary behaviour of Christoffel function and Bergman, Faber polynomials

Abstract: 
Let G be a bounded simply-connected domain in the complex plane, with Jordan boundary S.
We review recent and present new results on the asymptotic boundary behaviour of Bergman and Faber polynomials,
under various assumptions on the properties of S.
These will lead to some new estimates for the asymptotic behaviour on S of the associated Christoffel functions.