Hardy Type Theorems for Linear Canonical Dunkl Transform

被引：5
|
作者：
Saoudi, Ahmed [1 ,2 ]
机构：
[1] Northern Border Univ, Coll Sci, Dept Math, Ar Ar, Saudi Arabia
[2] Univ Tunis El Manar, Tunis, Tunisia
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 03期
关键词：
Linear canonical Dunkl transform; Fractional Dunkl transform; Hardy theorem; FRACTIONAL POWER; FOURIER;
D O I：
10.1007/s11785-023-01478-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish an analogue of Hardy's theorems for the linear canonical Dunkl transform and fractional Dunkl transform, which generalizes a large class of a family of integral transforms. As application, we derive Hardy type theorems for fractional Hankel type transform, one dimension Dunkl Fresnel transform, linear canonical transform and fractional Fourier transform.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Hardy Type Theorems for Linear Canonical Dunkl Transform
    Ahmed Saoudi
    Complex Analysis and Operator Theory, 2024, 18
  • [2] On the theorems of Hardy and Miyachi for the Jacobi-Dunkl transform
    Daher, R.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2007, 18 (05) : 305 - 311
  • [3] On the Linear Canonical Jacobi-Dunkl Transform
    Haouala, Iness
    Saoudi, Ahmed
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2025, 22 (02)
  • [4] Localization operators associated to linear canonical Dunkl wavelet transform
    Umamaheswari, S.
    Verma, Sandeep Kumar
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2025, 16 (01)
  • [5] Convolution theorems for the linear canonical transform and their applications
    DENG Bing
    Department of Electronic Engineering
    Science in China(Series F:Information Sciences), 2006, (05) : 592 - 603
  • [6] Jackson Theorems for the Quaternion Linear Canonical transform
    A. Achak
    O. Ahmad
    A. Belkhadir
    R. Daher
    Advances in Applied Clifford Algebras, 2022, 32
  • [7] Convolution theorems for the linear canonical transform and their applications
    Deng Bing
    Tao Ran
    Wang Yue
    SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2006, 49 (05): : 592 - 603
  • [8] Jackson Theorems for the Quaternion Linear Canonical transform
    Achak, A.
    Ahmad, O.
    Belkhadir, A.
    Daher, R.
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2022, 32 (03)
  • [9] Convolution theorems for the linear canonical transform and their applications
    Bing Deng
    Ran Tao
    Yue Wang
    Science in China Series F: Information Sciences, 2006, 49 : 592 - 603
  • [10] On Some Theorems of the Dunkl—Lipschitz Class for the Dunkl Transform
    Mohamed El Hamma
    Radouan Daher
    Lobachevskii Journal of Mathematics, 2019, 40 : 1157 - 1163
12345