ON THE SUMMABILITY OF THE DISCRETE HILBERT TRANSFORM

In this paper, we study the asymptotic behavior of the distribution function of the discrete Hilbert transform of  sequences from the class \(l_{1} \) and find a necessary condition and a sufficient condition for the summability of the discrete Hilbert transform of a sequence from the class \(l_{1}...

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Bibliographic Details
Main Authors: Rashid A. Aliev, Aynur F. Amrahova
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2018-12-01
Series:Ural Mathematical Journal
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Online Access:https://umjuran.ru/index.php/umj/article/view/129
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