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Ahlfors problem for polynomials

    Activity: Talk or presentation › Invited talk › science-to-science

    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).
    Period10 Oct 2017
    Event titleInternational Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatolyi Vitushkin, October 9-10, 2017, Steklov Institute, Moscow
    Event typeConference
    LocationRussian FederationShow on map

    Fields of science

    • 101002 Analysis
    • 103019 Mathematical physics
    • 101031 Approximation theory
    • 101027 Dynamical systems

    JKU Focus areas

    • Engineering and Natural Sciences (in general)

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