On the fredholm theory of a planar problem with shift for a pair of functions

We obtain necessary and sufficient conditions of the Fredholm properties and the formula for the calculation of index of a planar problem with shift and conjugation for a pair of functions.

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Bibliographic Details
Date:2011
Main Authors: Lysenko, Z. M., Matviyuk, L. V., Nechaev, L. V., Shvets, V. T., Лысенко, З. М., Матвиюк, Л. В., Нечаев, А. П., Швец, В. Т.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2011
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2742
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We obtain necessary and sufficient conditions of the Fredholm properties and the formula for the calculation of index of a planar problem with shift and conjugation for a pair of functions.