Uncertainty Principles for the Clifford-Fourier Transform

被引：3
|
作者：
El Kamel, Jamel [1 ]
Jday, Rim [2 ]
机构：
[1] Fac Sci Monastir, Dept Math, Monastir 5000, Tunisia
[2] Univ Tunis El Manar, Dept Math, Lab Special Funct Harmon Anal & Analogue, Fac Sci Tunis, Tunis 2092, Tunisia
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2017年 / 27卷 / 03期
关键词：
Clifford analysis; Clifford-Fourier transform; Hardy's theorem; Miyachi's theorem; THEOREM;
D O I：
10.1007/s00006-017-0791-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish analogues of Hardy's and Miyachi's theorems for the Clifford-Fourier transform.
引用
收藏
页码：2429 / 2443
页数：15
相关论文
共 50 条
  • [31] History of Quaternion and Clifford-Fourier Transforms and Wavelets
    Brackx, Fred
    Hitzer, Eckhard
    Sangwine, Stephen J.
    QUATERNION AND CLIFFORD FOURIER TRANSFORMS AND WAVELETS, 2013, : XI - XXVII
  • [32] The bounds of the odd dimensional Clifford-Fourier kernels
    Pan Lian
    Annali di Matematica Pura ed Applicata (1923 -), 2022, 201 : 1213 - 1228
  • [33] General double-sided orthogonal split quadratic phase Clifford-Fourier transform
    Monaim, H.
    Faress, M.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 543 (02)
  • [34] Two-sided fractional Clifford-Fourier transformation
    Yang, Heju
    Shi, Haipan
    Li, Zunfeng
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, 67 (09) : 2130 - 2151
  • [35] Uncertainty principles for the fractional quaternion fourier transform
    Fatima Elgadiri
    Abdellatif Akhlidj
    Journal of Pseudo-Differential Operators and Applications, 2023, 14
  • [36] Qualitative uncertainty principles for the hypergeometric Fourier transform
    H. Mejjaoli
    Acta Mathematica Hungarica, 2015, 145 : 229 - 251
  • [37] Qualitative uncertainty principles for the hypergeometric Fourier transform
    Mejjaoli, H.
    ACTA MATHEMATICA HUNGARICA, 2015, 145 (01) : 229 - 251
  • [38] Uncertainty principles for the fractional quaternion fourier transform
    Elgadiri, Fatima
    Akhlidj, Abdellatif
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2023, 14 (04)
  • [39] Sharper uncertainty principles for the windowed Fourier transform
    Liu, Ming-Sheng
    Kou, Kit Ian
    Morais, Joao
    Dang, Pei
    JOURNAL OF MODERN OPTICS, 2015, 62 (01) : 46 - 55
  • [40] Clifford-Valued Stockwell Transform and the Associated Uncertainty Principles
    Firdous A. Shah
    Aajaz A. Teali
    Mawardi Bahri
    Advances in Applied Clifford Algebras, 2022, 32
12345