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
收藏
页码：3883 / 3897
页数：14
相关论文
共 50 条
  • [31] ON THE METHOD OF DISCRETE COMPLEX SIGNAL REPRESENTATION ON THE BASIS OF THE HILBERT TRANSFORM
    GUSEV, VG
    YANOVER, BI
    RADIOTEKHNIKA I ELEKTRONIKA, 1983, 28 (01): : 91 - 98
  • [32] The Configurable Structure for Discrete Hilbert Transform via Systolic Array
    Sun, Ruiyi
    Zhang, Yan
    Chen, Jinlei
    2013 IEEE/ACIS 12TH INTERNATIONAL CONFERENCE ON COMPUTER AND INFORMATION SCIENCE (ICIS), 2013, : 467 - 473
  • [33] A Method to Detect Causality Violations Using Discrete Hilbert Transform
    Becerra, Juan
    Vega, Felix
    Rachidi, Farhad
    2017 IEEE INTERNATIONAL SYMPOSIUM ON ELECTROMAGNETIC COMPATIBILITY & SIGNAL/POWER INTEGRITY (EMCSI), 2017, : 388 - 392
  • [34] On Properties of Hilbert Transform of Finite Complex Measures
    Aliev, Rashid A.
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2016, 10 (01) : 171 - 185
  • [35] On Properties of Hilbert Transform of Finite Complex Measures
    Rashid A. Aliev
    Complex Analysis and Operator Theory, 2016, 10 : 171 - 185
  • [36] On some properties of the Hilbert transform in Euclidean space
    Delanghe, R
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2004, 11 (02) : 163 - 180
  • [37] The optimal symmetric quasi-Banach range of the discrete Hilbert transform
    K. Tulenov
    Archiv der Mathematik, 2019, 113 : 649 - 660
  • [38] Discrete Hilbert Transform Based Delay Causality Enforcement for Network Parameters
    Tsiklauri, M.
    Zvonkin, M.
    Dikhaminjia, N.
    Fan, J.
    Drewniak, J.
    2016 IEEE INTERNATIONAL SYMPOSIUM ON ELECTROMAGNETIC COMPATIBILITY (EMC), 2016, : 921 - 926
  • [39] The optimal symmetric quasi-Banach range of the discrete Hilbert transform
    Tulenov, K.
    ARCHIV DER MATHEMATIK, 2019, 113 (06) : 649 - 660
  • [40] Blind Image Watermarking Based on Discrete Hilbert Transform and Polar Decomposition
    Mohashin, A. H. M.
    Dhar, Pranab Kumar
    Shimamura, Tetsuya
    2019 11TH INTERNATIONAL CONFERENCE ON KNOWLEDGE AND SMART TECHNOLOGY (KST), 2019, : 78 - 81
12345