Uncertainty principles for the Hankel-Stockwell transform

被引：14
|
作者：
Ben Hamadi, Nadia [1 ]
Hafirassou, Zineb [1 ]
Herch, Hajer [2 ]
机构：
[1] Fac Sci Tunis, Dept Math, Tunis 1068, Tunisia
[2] Taibah Univ, Fac Sci, Math & Stat Dept, Yanbu, Saudi Arabia
来源：
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2020年 / 11卷 / 02期
关键词：
Hankel transform; Continuous Stockwell transform; Uncertainty principles; LOCALIZATION; INVERSION; FOURIER;
D O I：
10.1007/s11868-020-00329-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define and study the Hankel-Stockwell transform. We prove a version of Heisenberg's uncertainty inequality for the Hankel-Stockwell transform. Then, we extend a quantitative Shapiro's uncertainty principle on the time-frequency concentration of orthonormal sequences mean dispersion theorem with generalized dispersion.
引用
收藏
页码：543 / 564
页数：22
相关论文
共 50 条
  • [31] A new class of uncertainty principles for the k-Hankel wavelet transform
    Mejjaoli, Hatem
    Shah, Firdous A.
    FORUM MATHEMATICUM, 2023, 35 (03) : 739 - 762
  • [32] Local price uncertainty principle and time-frequency localization operators for the q-Hankel-Stockwell transform
    Elmonser, Hedi
    Brahim, Kamel
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (03)
  • [33] Quantitative uncertainty principles associated with the k-Hankel wavelet transform on Rd
    Mejjaoli, Hatem
    Shah, Firdous A.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (02) : 1884 - 1913
  • [34] Logarithmic uncertainty principle for the Hankel transform
    Omri, S.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2011, 22 (09) : 655 - 670
  • [35] Local uncertainty principle for the Hankel transform
    Omri, Slim
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2010, 21 (09) : 703 - 712
  • [36] Qualitative Uncertainty Principles for the Nonisotropic Angular Stockwell Transforms
    Wang, Xinyu
    Zheng, Shenzhou
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025,
  • [37] Uncertainty principles for the Cherednik transform
    Daher, R.
    Hamad, S. L.
    Kawazoe, T.
    Shimeno, N.
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2012, 122 (03): : 429 - 436
  • [38] Uncertainty principles for the weinstein transform
    Mejjaoli, Hatem
    Salhi, Makren
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (04) : 941 - 974
  • [39] Uncertainty principles for the weinstein transform
    Hatem Mejjaoli
    Makren Salhi
    Czechoslovak Mathematical Journal, 2011, 61 : 941 - 974
  • [40] Uncertainty principles for the Cherednik transform
    R DAHER
    S L HAMAD
    T KAWAZOE
    N SHIMENO
    Proceedings - Mathematical Sciences, 2012, 122 : 429 - 436
12345