Sufficient conditions for the weighted integrability of Fourier–Laguerre transforms

IF 0.7 3区数学 Q2 MATHEMATICS Integral Transforms and Special Functions Pub Date : 2023-08-30 DOI:10.1080/10652469.2023.2252977

O. Tyr, R. Daher

引用次数: 0

Abstract

The problem of weighted integrability of the Fourier–Laguerre transform in terms of the moduli of smoothness related to generalized translations is considered. Sufficient conditions are given to solve this problem. These results generalize a famous Titchmarsh's theorem and Younis' theorem, due to Negzaoui in the Laguerre hypergroup. Also some results connected with the integrability of Fourier–Laguerre transforms of Laguerre convolutions are given.

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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.

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