Dzyadyk formula for summation of double Faber series

An analog of Dzyadyk's formula is constructed for double series in Faber polynomials of two variables. By using this formula, we obtain the estimates of the convergence rate of the double Faber series, summed over rectangles and circles, in a bicylindric domain.

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Bibliographic Details
Date:1994
Main Authors: Tsvil', M. M., Цвиль, М. М.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1994
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5648
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal