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