ON THE SUMMABILITY OF THE DISCRETE HILBERT TRANSFORM

Autor: Rashid A. Aliev, Aynur F. Amrahova
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Ural Mathematical Journal, Vol 4, Iss 2 (2018)
Druh dokumentu: article
ISSN: 2414-3952
DOI: 10.15826/umj.2018.2.002
Popis: 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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