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International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin
October 10, 2017 14:30, Moscow, Steklov Mathematical Institute, Conference hall, 9th floor
 


Ahlfors problem for polynomials

P. M. Yuditskii

Johannes Kepler University Linz
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MP4 375.8 Mb
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Adobe PDF 655.0 Kb

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P. M. Yuditskii


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Abstract: 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 $\mathbb{R}$, arcs on $\mathbb{T}$, and its continuous counterpart. Joint work with Benjamin Eichinger (Johannes Kepler University of Linz).

Materials: presentation.pdf (655.0 Kb)

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