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.

引用

页码：3883 / 3897

页数：14

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