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Dive into the research topics where Andrei Aleksandrovich Gonchar is active.

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Featured researches published by Andrei Aleksandrovich Gonchar.


Russian Mathematical Surveys | 2011

Padé-Chebyshev approximants of multivalued analytic functions, variation of equilibrium energy, and the

Andrei Aleksandrovich Gonchar; E. A. Rakhmanov; Sergey Pavlovich Suetin

Pade-Chebyshev approximants are considered for multivalued analytic functions that are real-valued on the unit interval . The focus is mainly on non-linear Pade-Chebyshev approximants. For such rational approximations an analogue is found of Stahls theorem on convergence in capacity of the Pade approximants in the maximal domain of holomorphy of the given function. The rate of convergence is characterized in terms of the stationary compact set for the mixed equilibrium problem of Green-logarithmic potentials. Bibliography: 79 titles.


Matematicheskii Sbornik | 1997

S

Андрей Александрович Гончар; Andrei Aleksandrovich Gonchar; Евгений Андреевич Рахманов; E. A. Rakhmanov; Владимир Николаевич Сорокин; Vladimir Nikolaevich Sorokin


Sbornik Mathematics | 1997

-property of stationary compact sets

Andrei Aleksandrovich Gonchar; Evguenii Andreevich Rakhmanov; Vladimir N. Sorokin


Современные проблемы математики | 2003

Об аппроксимациях Эрмита - Паде для систем функций марковского типа@@@Hermite - Pade approximants for systems of Markov-type functions

Андрей Александрович Гончар; Andrei Aleksandrovich Gonchar


Uspekhi Matematicheskikh Nauk | 2011

Hermite-Pade approximants for systems of Markov-type functions

Андрей Александрович Гончар; Andrei Aleksandrovich Gonchar; Евгений Андреевич Рахманов; Evguenii Andreevich Rakhmanov; Сергей Павлович Суетин; Sergey Pavlovich Suetin


Sbornik Mathematics | 2006

Рациональные аппроксимации аналитических функций@@@Rational approximations of analytic functions

Andrei Aleksandrovich Gonchar


Matematicheskii Sbornik | 2006

Аппроксимации Паде - Чебышeва для многозначных аналитических функций, вариация равновесной энергии и

Андрей Александрович Гончар; Andrei Aleksandrovich Gonchar


Sovremennye Problemy Matematiki | 2004

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Андрей Александрович Гончар; Andrei Aleksandrovich Gonchar; Сергей Павлович Суетин; Sergey Pavlovich Suetin


Russian Mathematical Surveys | 1987

-свойство стационарных компактов@@@Padé - Chebyshev approximants of multivalued analytic functions, variation of equilibrium energy, and the

Lyudvig Dmitrievich Faddeev; Andrei Aleksandrovich Gonchar; Boris Sergeevich Kashin; A I Kostrikin; Sergei M Nikol'skii; S P Novikov; Petr Lavrent'evich Ul'yanov; Anatoliy Georgievich Vitushkin


Uspekhi Matematicheskikh Nauk | 2003

S

Андрей Андреевич Болибрух; Andrey Andreevich Bolibrukh; Андрей Александрович Гончар; Andrei Aleksandrovich Gonchar; Игорь Васильевич Волович; I. V. Volovich; Владимир Георгиевич Кадышевский; Vladimir G. Kadyshevskii; Анатолий Алексеевич Логунов; Anatoly Alekseevich Logunov; Гурий Иванович Марчук; G. I. Marchuk; Евгений Фролович Мищенко; E. F. Mishchenko; Сергей Михайлович Никольский; Sergei M Nikol'skii; Сергей Петрович Новиков; Sergei Petrovich Novikov; Юрий Сергеевич Осипов; Yurii S. Osipov; Людвиг Дмитриевич Фаддеев; Lyudvig Dmitrievich Faddeev; Дмитрий Васильевич Ширков; Dmitrii Vasil'evich Shirkov

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Yurii S. Osipov

Russian Academy of Sciences

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Vladimir I. Arnold

Steklov Mathematical Institute

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