Weighted integrability of Fourier–Jacobi transforms

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2022-11-08 DOI:10.1080/10652469.2022.2140801

S. Volosivets

引用次数: 1

Abstract

We prove sufficient conditions for the weighted integrability of the Fourier–Jacobi transform. These results generalize a Titchmarsh type result due to Daher and Tyr and also use a generalized Jacobi translation defined by Flensted-Jensen and Koornwinder. Also some results connected with the integrability of Fourier–Jacobi transforms of Jacobi convolutions are given.

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傅里叶-雅可比变换的加权可积性

证明了傅里叶-雅可比变换的加权可积性的充分条件。这些结果推广了Daher和Tyr的Titchmarsh类型结果，并使用了Flensted-Jensen和Koornwinder定义的广义Jacobi翻译。并给出了有关雅可比卷积的傅里叶-雅可比变换可积性的一些结果。

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

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.