Uncertainty principles for the generalized Fourier transform associated to a Dunkl-type operator

被引：9
|
作者：
Mejjaoli, Hatem [1 ]
机构：
[1] Taibah Univ, Dept Math, Coll Sci, POB 30002, Al Madinah, Al Munawarah, Saudi Arabia
来源：
APPLICABLE ANALYSIS | 2016年 / 95卷 / 09期
关键词：
generalized Fourier transform; Hardy's type theorem; Cowling-Price's theorem; Beurling's theorem; Donoho-Stark's uncertainty principle; variants of Heisenberg's uncertainty principle; DIFFERENTIAL-DIFFERENCE OPERATOR; SPHEROIDAL WAVE-FUNCTIONS; TRANSMUTATION OPERATORS; REAL LINE; THEOREM; SPACES;
D O I：
10.1080/00036811.2015.1080248
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove various mathematical aspects of the qualitative and quantitative uncertainty principle, including Hardy's, Cowling-Price and its variants, Beurling and its variants, Gelfand-Shilov, Donoho-Stark's uncertainty principle, and variants of Heisenberg's inequalities for the generalized Fourier transform associated to a Dunkl-type operator on the real line.
引用
收藏
页码：1930 / 1956
页数：27
相关论文
共 50 条
  • [21] Uncertainty Principles for the Continuous Dunkl Gabor Transform and the Dunkl Continuous Wavelet Transform
    Hatem Mejjaoli
    Nadia Sraieb
    Mediterranean Journal of Mathematics, 2008, 5 : 443 - 466
  • [22] Uncertainty Principles for the Continuous Dunkl Gabor Transform and the Dunkl Continuous Wavelet Transform
    Mejjaoli, Hatem
    Sraieb, Nadia
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2008, 5 (04) : 443 - 466
  • [23] Heisenberg-type uncertainty principles for the Dunkl-Weinstein transform
    Soltani, Fethi
    Maktouf, Ibrahim
    Nefzi, Walid
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (06)
  • [24] Generalized uncertainty principles associated with Hilbert transform
    Xu Guanlei
    Wang Xiaotong
    Wang Longtao
    Liu Bo
    Su Shipeng
    Xu Xiaogang
    Signal, Image and Video Processing, 2014, 8 : 279 - 285
  • [25] Generalized uncertainty principles associated with Hilbert transform
    Xu Guanlei
    Wang Xiaotong
    Wang Longtao
    Liu Bo
    Su Shipeng
    Xu Xiaogang
    SIGNAL IMAGE AND VIDEO PROCESSING, 2014, 8 (02) : 279 - 285
  • [26] Weighted inequalities and uncertainty principles for the (k, a)-generalized Fourier transform
    Johansen, Troels Roussau
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2016, 27 (03)
  • [27] The generalized Fokker-Planck equation in terms of Dunkl-type derivatives
    Mota, R. D.
    Ojeda-Guillen, D.
    Xicotencatl, M. A.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2024, 635
  • [28] Plancherel and inversion formulas for the Dunkl-type Segal-Bargmann transform
    Fethi Soltani
    Meriem Nenni
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2025, 71 (1)
  • [29] Uncertainty principles for the Dunkl-Weinstein-Stockwell transform
    Soltani, Fethi
    Maktouf, Ibrahim
    JOURNAL OF APPLIED ANALYSIS, 2024,
  • [30] Concentration Uncertainty Principles for the Dunkl-Bessel Transform and Dunkl-Bessel Wavelet TransformConcentration Uncertainty Principles for the Dunkl-Bessel Transform...N. Sraieb
    Nadia Sraieb
    International Journal of Applied and Computational Mathematics, 2025, 11 (1)
12345