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Title: Properties of the Discrete Hilbert Transform
Authors: Aliev, Rashid A.
Amrahova, Aynur F.
Keywords: Discrete Hilbert transform
Asymptotic behavior of the distribution function
Issue Date: 15-Jun-2019
Citation: Complex Analysis and Operator Theory
Series/Report no.: Vol. 13;Issue 76
Abstract: The asymptotic behavior of the distribution function of the Hilbert transform of sequences from the class l1 is studied. The concept of Q-summability of series is introduced; using this notion, it is shown that the Hilbert transform of a sequence from the class l1 is Q-summable and is Q-sum is zero.
ISSN: 1661-8254
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