Donoho-Stark's Uncertainty Principles in Real Clifford Algebras

被引：19
|
作者：
El Haoui, Youssef [1 ]
Fahlaoui, Said [1 ]
机构：
[1] Univ Moulay Ismail, Fac Sci, Dept Math & Comp Sci, Meknes 11201, Morocco
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2019年 / 29卷 / 05期
关键词：
Clifford algebras; Clifford-Fourier transform; Uncertainty principle; Donoho-Stark's uncertainty principle; FOURIER-TRANSFORM;
D O I：
10.1007/s00006-019-1015-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Clifford Fourier transform (CFT) has been shown to be a powerful tool in the Clifford analysis. In this work, several uncertainty inequalities are established in the real Clifford algebra Cl(p,q), including the Hausdorf-Young inequality, and three qualitative uncertainty principles of Donoho-Stark.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] Donoho–Stark’s Uncertainty Principles in Real Clifford Algebras
    Youssef El Haoui
    Said Fahlaoui
    Advances in Applied Clifford Algebras, 2019, 29
  • [2] Two aspects of the Donoho-Stark uncertainty principle
    Boggiatto, Paolo
    Carypis, Evanthia
    Oliaro, Alessandro
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 434 (02) : 1489 - 1503
  • [3] Variations on the Donoho-Stark Uncertainty Principle Estimate
    Taylor, Michael
    JOURNAL OF GEOMETRIC ANALYSIS, 2018, 28 (01) : 492 - 509
  • [4] Donoho-Stark's uncertainty principle for the quaternion Fourier transform
    Abouelaz, A.
    Achak, A.
    Daher, R.
    Safouane, N.
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (02): : 587 - 597
  • [5] Donoho-Stark and Price uncertainty principles for a class of q-integral transforms with bounded kernels
    Castro, Luis P.
    Guerra, Rita C.
    FORUM MATHEMATICUM, 2024, 36 (05) : 1359 - 1381
  • [6] Donoho-Stark?s and Hardy?s uncertainty principles for the short-time quaternion offset linear canonical transform
    Dar, Aamir H.
    Bhat, M. Younus
    FILOMAT, 2023, 37 (14) : 4467 - 4480
  • [7] Benedicks and Donoho-Stark type theorems
    Kamoun, Lotfi
    Laffi, Raoudha
    TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (05) : 1724 - 1735
  • [8] Spectrum of the finite Dunkl transform operator and Donoho-Stark uncertainty principle
    Ben Aouicha, Hichem
    Chettaoui, Chirine
    ADVANCES IN PURE AND APPLIED MATHEMATICS, 2012, 3 (02) : 123 - 143
  • [9] Donoho-Stark uncertainty principle associated to the index Whittaker wavelet transform
    Dades, Abdelaali
    Tyr, Othman
    Daher, Radouan
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2024, 15 (04)
  • [10] The Shift Bound for Abelian Codes and Generalizations of the Donoho-Stark Uncertainty Principle
    Feng, Tao
    Hollmann, Henk D. L.
    Xiang, Qing
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2019, 65 (08) : 4673 - 4682
12345