Generalized translation and convolution associated to the linear canonical Fourier–Jacobi transform

DOI10.1080/10652469.2023.2208725MaRDI QIDQ6061000

Abdellatif Akhlidj, Afaf Dahani, Unnamed Author

Publication date: 30 October 2023

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

zbMATH Keywords

convolution producttranslation operatorcanonical Fourier-Jacobi transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convolution, factorization for one variable harmonic analysis (42A85)

Cites Work

• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Fractional Fourier-Jacobi type transform
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• The convolution structure for Jacobi function expansions
• Canonical transforms. I. Complex linear transforms
• Fourier–Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in L₂ metric: Jackson's type direct theorems
• Harmonic analysis associated to the canonical Fourier Bessel transform
• Fourier–Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in L₂ metric: Nikol'skii–Besov type function spaces
• Eigenfunctions of linear canonical transform
• Linear Canonical Transformations and Their Unitary Representations

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