Beurling’s Theorem in the Clifford Algebras

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-06-03 DOI:10.1007/s00006-023-01284-w

Othman Tyr, Radouan Daher

引用次数: 2

Abstract

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–Hörmander’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.

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Clifford代数中的Beurling定理

在本研究中，E.Hitzer引入的Clifford–傅立叶变换满足了一些类似于欧几里得傅立叶变换的不确定性原理。得到了Clifford–Fourier变换的Beurling–Hörmander定理的类似结果。作为Beurling定理的直接结果，还推导了不确定性原理的其他版本，如Hardy、Gelfand–Shilov和Cowling–Price定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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