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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Autori principali: Rashid A. Aliev, Aynur F. Amrahova
Natura: Articolo
Lingua:inglese
Pubblicazione: 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
Serie:Ural Mathematical Journal
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Accesso online:https://umjuran.ru/index.php/umj/article/view/129
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