Geodesic
On the summability of the discrete Hilbert transform
Ural mathematical journal, Tome 4 (2018) no. 2, pp. 6-12

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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 $l_1$.
Keywords: Discrete Hilbert transform, Asymptotic behavior of the distribution function, Class of summable sequences. 
@article{UMJ_2018_4_2_a1,
     author = {Rashid A. Aliev and Aynur F. Amrahova},
     title = {On the summability of the discrete {Hilbert} transform},
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     url = {http://geodesic.mathdoc.fr/item/UMJ_2018_4_2_a1/}
}
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Rashid A. Aliev; Aynur F. Amrahova. On the summability of the discrete Hilbert transform. Ural mathematical journal, Tome 4 (2018) no. 2, pp. 6-12. http://geodesic.mathdoc.fr/item/UMJ_2018_4_2_a1/