与线性正则傅里叶-雅可比变换相关的广义平移和卷积

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2023-05-22 DOI:10.1080/10652469.2023.2208725

Abdellatif Akhlidj, Fatima Elgadiri, Afaf Dahani

引用次数: 0

摘要

本文引入正则傅里叶-雅可比变换，它是分数阶傅里叶-贝塞尔变换的推广。我们定义并研究了平移算子，并推导了正则傅里叶-贝塞尔变换的卷积积。建立了一些重要的性质。

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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Generalized translation and convolution associated to the linear canonical Fourier–Jacobi transform

In this paper, we introduce the Canonical Fourier-Jacobi transform, which is a generalization of Fractional Fourier-Bessel transform. We define and study the translation operator and we also derive the convolution product related to the canonical Fourier-Bessel transform. Some important properties are established.

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来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.