The Beurling Theorem in Space-Time Algebras

被引：0
|
作者：
Tyr, Othman [1 ]
Daher, Radouan [1 ]
机构：
[1] Univ Hassan 2, Fac Sci Ain Chock, Dept Math, Lab Fundamental & Appl Math, Casablanca, Morocco
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2023年 / 46卷 / 05期
关键词：
Space-time signals; Space-time Fourier transform; Uncertainty principles; Beurling's theorem; UNCERTAINTY PRINCIPLES; FOURIER-TRANSFORM;
D O I：
10.1007/s40840-023-01571-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, the space-time Fourier transform SFT introduced by E. Hitzer satisfies some uncertainty principles of the algebra for space-time Cl-(3,Cl-1)-valued signals over the space-time vector space R-(3,R-1). An analog of the Beurling theorem for the SFT is obtained. As a direct consequence of Beurling's theorem, other versions of the uncertainty principle, such as Hardy's, Gelfand-Shilov's, Cowling-Price's and Morgan's theorems are also deduced.
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页数：21
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