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International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin
October 10, 2016 10:00, Moscow, Steklov Mathematical Institute, Conference hall, 9th floor
 


Rational approximation of analytic functions: potential theory approach of Gonchar and modern development

A. I. Aptekarev

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
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MP4 420.8 Mb
MP4 1,658.7 Mb
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Adobe PDF 717.9 Kb

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A. I. Aptekarev
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Abstract: We recall the main concepts proposed by A. A. Gonchar for determination of the degree of approximation of analytical functions by rational functions. Namely asymptotical reduction of the best rational approximants to the multipoint Padé approximants and orthogonal polynomials with respect to a “varying” weight. Then we consider modern development of these concepts related to the strong asymptotics for polynomials orthogonal on the extremal compacts of the complex plane with respect to complex varying weights.

Materials: presentation.pdf (717.9 Kb)

* conference room 9th floor

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