Uncertainty principles of hypercomplex functions for fractional Fourier transform

被引：1
|
作者：
Gao, Wen-Biao [1 ]
机构：
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2023年 / 26卷 / 05期
关键词：
Fourier transform; Fractional Fourier transform; Hypercomplex functions; Uncertainty principle;
D O I：
10.1007/s13540-023-00191-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, different uncertainty principles for hypercomplex functions associated with the fractional Fourier transform (FRFT) are investigated. First, the inverse formula and Plancherel theorem of the FRFT are obtained. Then, a new uncertainty principle for the FRFT of hypercomplex functions in the time and FRFT domains is explored. Moreover, an uncertainty principle in two FRFT domains is obtained. Finally, examples show the correctness of the theorems.
引用
收藏
页码：2298 / 2317
页数：20
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