Beurling's Theorem in the Clifford Algebras

被引：2

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：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2023年 / 33卷 / 03期

关键词：

Clifford algebras; Clifford-Fourier transform; Uncertainty principles; Beurling's theorem; UNCERTAINTY PRINCIPLES; FOURIER-TRANSFORM;

D O I：

10.1007/s00006-023-01284-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research, the Clifford-Fourier transform introduced by E. Hitzer, satisfies some uncertainty principles similar to the Euclidean Fourier transform. An analog of the Beurling-Hormander's theorem for the Clifford-Fourier transform is obtained. As a straightforward consequence of Beurling's theorem, other versions of the uncertainty principle, such as the Hardy, Gelfand-Shilov and Cowling-Price theorems are also deduced.

引用

页数：19

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