Properties of the Discrete Hilbert Transform

被引：2
|
作者：
Aliev, Rashid A. [1 ,2 ]
Amrahova, Aynur F. [1 ,3 ]
机构：
[1] Baku State Univ, Baku 1148, Azerbaijan
[2] NAS Azerbaijan, Inst Math & Mech, Baku 1141, Azerbaijan
[3] Khazar Univ, Baku 1096, Azerbaijan
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2019年 / 13卷 / 08期
关键词：
Discrete Hilbert transform; Asymptotic behavior of the distribution function; Q-integral; Q-summability; CAUCHY-TYPE INTEGRALS; BOUNDARY-VALUES; INTEGRABILITY; INEQUALITIES;
D O I：
10.1007/s11785-019-00936-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The asymptotic behavior of the distribution function of the Hilbert transform of sequences from the class l(1) 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 l(1) is Q-summable and is Q-sum is zero.
引用
收藏
页码：3883 / 3897
页数：15
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