Weighted integrability of Fourier-Jacobi transforms

被引：5

作者：

Volosivets, S. S. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Dept Mech & Math, Saratov, Russia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2023年 / 34卷 / 06期

关键词：

Fourier-Jacobi transform; generalized Lipschitz spaces; weighted integrability; APPROXIMATION;

D O I：

10.1080/10652469.2022.2140801

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：431 / 443

页数：13

共 17 条

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