Rashid A. Aliev, Aynur F. Amrahova, “On the summability of the discrete Hilbert transform”, Ural Math. J., 2018, Volume 4, Issue 2,Pages <nobr>6

This article is cited in 4 papers

On the summability of the discrete Hilbert transform

Rashid A. Aliev^ab, Aynur F. Amrahova^a

^a Baku State University, Baku, AZ 1148, Azerbaijan
^b Institute of Mathematics and Mechanics, NAS of Azerbaijan, Baku, AZ 1141, Azerbaijan

Abstract: 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.

Language: English

DOI: 10.15826/umj.2018.2.002