CALDERON-REPRODUCING FORMULA FOR THE CONTINUOUS WAVELET TRANSFORM RELATED TO THE WEINSTEIN OPERATOR

被引：0
|
作者：
Hleili, Khaled [1 ]
Hleili, Manel [2 ]
机构：
[1] Northern Border Univ, Fac Sci, Dept Math, Ar Ar, Saudi Arabia
[2] Univ Tunis El Manar, Fac Sci Tunis, Tunis, Tunisia
来源：
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 10卷 / 04期
关键词：
Weinstein operator; wavelet transform; inversion formulas; extremal functions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the continuous wavelet transform associated with the Weinstein operator and we prove for this transform a reproducing inversion formulas of Calderon's type. Next, we study the extremal functions associated to the continuous wavelet transform.
引用
收藏
页码：31 / 44
页数：14
相关论文
共 50 条
  • [11] Calderón type reproducing formula for the Weinstein–Stockwell transform
    Hassen Ben Mohamed
    Ahmed Saoudi
    Rendiconti del Circolo Matematico di Palermo Series 2, 2024, 73 : 71 - 84
  • [12] Canonical Hankel Wavelet Transformation and Calderon's Reproducing Formula
    Prasad, Akhilesh
    Kumar, Tanuj
    FILOMAT, 2018, 32 (08) : 2735 - 2743
  • [13] Calderón’s reproducing formula and uncertainty principle for the continuous wavelet transform associated with the q-Bessel operator
    Bochra Nefzi
    Kamel Brahim
    Journal of Pseudo-Differential Operators and Applications, 2018, 9 : 495 - 522
  • [14] Extremal Functions and Calderon's Reproducing Formula for the Laguerre-Bessel Two-Wavelet Transform
    Chana, Ahmed
    Akhlidj, Abdellatif
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2024, 21 (04): : 59 - 76
  • [15] New results on the continuous Weinstein wavelet transform
    Mejjaoli, Hatem
    Salem, Ahmedou Ould Ahmed
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [16] New results on the continuous Weinstein wavelet transform
    Hatem Mejjaoli
    Ahmedou Ould Ahmed Salem
    Journal of Inequalities and Applications, 2017
  • [17] Calderon reproducing formula associated with the Gegenbauer operator on the half-line
    Guliyev, Vagif S.
    Ibrahimov, Elman J.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 335 (02) : 1079 - 1094
  • [18] Calderon's reproducing formula associated with a singular differential operator on the half line
    Mourou, MA
    Trimèche, K
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2000, 10 (02) : 101 - 114
  • [19] Continuous Wavelet Transform and Uncertainty Principle Related to the Spherical Mean Operator
    Rachdi, Lakhdar T.
    Meherzi, Fatma
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (01)
  • [20] Continuous Wavelet Transform and Uncertainty Principle Related to the Spherical Mean Operator
    Lakhdar T. Rachdi
    Fatma Meherzi
    Mediterranean Journal of Mathematics, 2017, 14
12345