Harmonic analysis associated with the linear canonical Fourier-Jacobi transform

被引：0

作者：

Dahani, A. ^{[1
]}

Elgadiri, F. ^{[1
]}

Akhlidj, A. ^{[1
]}

机构：

[1] Univ Hassan 2, Fac Sci Ain Chock, Dept Math, Casablanca, Morocco

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2024年

关键词：

Fourier-Jacobi transform; linear canonical transform; inversion formula; Plancherel theorem; Paley-Wiener theorem; Riemann-Lebsgue lemma; APPROXIMATION;

D O I：

10.1080/10652469.2024.2426183

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main objective of this paper is to develop a new harmonic analysis related to a Fourier-Jacobi type operator $ \Delta _{\alpha,\beta }<^>m $ Delta alpha,beta m of the real line. We define and study the linear canonical Fourier-Jacobi transform $ \mathcal {F}_{\alpha,\beta }<^>m $ F alpha,beta m. We study some important properties, inversion formula, Plancherel theorem, Paley-Wiener theorem and Riemann-Lebsgue lemma. An application in solving a generalized heat equation is given.

引用

页数：22

共 19 条

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