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
  • [1] Uncertainty principles of the fractional Clifford-Fourier transform
    Shi, Haipan
    Gao, Long
    Xie, Yonghong
    Qiao, Yuying
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (15) : 16105 - 16125
  • [2] The Clifford-Fourier transform
    Brackx, F
    De Schepper, N
    Sommen, F
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2005, 11 (06) : 669 - 681
  • [3] On the Clifford-Fourier Transform
    De Bie, Hendrik
    Xu, Yuan
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2011, 2011 (22) : 5123 - 5163
  • [4] The Clifford-Fourier Transform
    Fred Brackx
    Nele De Schepper
    Frank Sommen
    Journal of Fourier Analysis and Applications, 2005, 11 : 669 - 681
  • [5] The Fractional Clifford-Fourier Transform
    De Bie, Hendrik
    De Schepper, Nele
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2012, 6 (05) : 1047 - 1067
  • [6] The Fractional Clifford-Fourier Transform
    Hendrik De Bie
    Nele De Schepper
    Complex Analysis and Operator Theory, 2012, 6 : 1047 - 1067
  • [7] Uncertainty Principles for the Clifford–Fourier Transform
    Jamel El Kamel
    Rim Jday
    Advances in Applied Clifford Algebras, 2017, 27 : 2429 - 2443
  • [8] Properties of the fractional Clifford-Fourier transform
    Shi, Haipan
    Yang, Heju
    Qiao, Yuying
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2023, 34 (12) : 931 - 946
  • [9] Pitt's Inequality and Logarithmic Uncertainty Principle for the Clifford-Fourier Transform
    Li, Shanshan
    Fei, Minggang
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2023, 33 (01)
  • [10] Clifford-Fourier transform on hyperbolic space
    Lian, Pan
    Bao, Gejun
    De Bie, Hendrik
    Constales, Denis
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (10) : 3666 - 3675
12345