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
收藏
页码：431 / 443
页数：13
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