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This article is cited in 4 scientific papers (total in 4 papers)
On the summability of the discrete Hilbert transform
Rashid A. Alievab, Aynur F. Amrahovaa 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.
Citation:
Rashid A. Aliev, Aynur F. Amrahova, “On the summability of the discrete Hilbert transform”, Ural Math. J., 4:2 (2018), 6–12
Linking options:
https://www.mathnet.ru/eng/umj58 https://www.mathnet.ru/eng/umj/v4/i2/p6
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Abstract page: | 255 | Full-text PDF : | 331 | References: | 42 |
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