UNCERTAINTY PRINCIPLES ASSOCIATED WITH THE SHORT TIME QUATERNION COUPLED FRACTIONAL FOURIER TRANSFORM

被引：0

作者：

Gupta, Bivek ^{[1
]}

Verma, Amit K. ^{[1
]}

Agarwal, Ravi P. ^{[2
]}

机构：

[1] Indian Inst Technol Patna, Dept Math, Bihta 801103, India

[2] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX USA

来源：

MATEMATICKI VESNIK | 2024年 / 76卷 / 1-2期

关键词：

Quaternion coupled fractional Fourier transform; short time quater- nion coupled fractional Fourier transform; Lieb's uncertainty principle; PLANCHEREL THEOREM;

D O I：

10.57016/MV-XtlG4184

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we extend the coupled fractional Fourier transform of complex valued functions to that of the quaternion valued functions on R4 and call it the quaternion coupled fractional Fourier transform (QCFrFT). We obtain the sharp Hausdorff-Young inequality for QCFrFT and obtain the associated Re`nyi uncertainty principle. We also define the short time quaternion coupled fractional Fourier transform (STQCFrFT) and explore its important properties followed by the Lieb's and entropy uncertainty principles.

引用

页码：84 / 104

页数：21

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