Characterization of Pseudo-Differential Operators Associated with the Coupled Fractional Fourier Transform

被引：1
|
作者：
Das, Shraban [1 ]
Mahato, Kanailal [2 ]
Zayed, Ahmed I. [3 ]
机构：
[1] Natl Inst Technol Jamshedpur, Dept Math, Jamshedpur 831014, India
[2] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, India
[3] Depaul Univ, Dept Math Sci, Chicago, IL 60614 USA
来源：
AXIOMS | 2024年 / 13卷 / 05期
关键词：
Fourier transform; fractional Fourier transform; coupled fractional Fourier transform; Schwartz space; pseudo-differential operator; CONVOLUTION; PRODUCT; ORDER;
D O I：
10.3390/axioms13050296
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main aim of this article is to derive certain continuity and boundedness properties of the coupled fractional Fourier transform on Schwartz-like spaces. We extend the domain of the coupled fractional Fourier transform to the space of tempered distributions and then study the mapping properties of pseudo-differential operators associated with the coupled fractional Fourier transform on a Schwartz-like space. We conclude the article by applying some of the results to obtain an analytical solution of a generalized heat equation.
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页数：21
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