Properties of the Discrete Hilbert Transform

被引：0
|
作者：
Rashid A. Aliev
Aynur F. Amrahova
机构：
[1] Baku State University,Institute of Mathematics and Mechanics
[2] NAS of Azerbaijan,undefined
[3] Khazar University,undefined
来源：
Complex Analysis and Operator Theory | 2019年 / 13卷
关键词：
Discrete Hilbert transform; Asymptotic behavior of the distribution function; Q-integral; Q-summability; 44A15; 26A39; 40G99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：3883 / 3897
页数：14
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