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.
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页数：13
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