Ahlfors problem for polynomials

Description

We raise a conjecture that asymptotics for Chebyshev polynomials in a complex domain can be given in terms of the reproducing kernels of a suitable Hilbert space of analytic functions in this domain. It is based on two classical results due to Garabedian and Widom. To support this conjecture we study asymptotics for Ahlfors extremal polynomials in the complement to a system of intervals on R, arcs on T, and its continuous counterpart. Joint work with Benjamin Eichinger (Johannes Kepler University of Linz).

Period	10 Oct 2017
Event title	International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatolyi Vitushkin, October 9-10, 2017, Steklov Institute, Moscow
Event type	Conference
Location	Russian FederationShow on map