Fractional Fourier-Jacobi type transform

DOI10.1007/s11565-020-00337-3zbMath1437.42007OpenAlexW3010652388MaRDI QIDQ2175139

Samir Sahbani

Publication date: 28 April 2020

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-020-00337-3

zbMATH Keywords

tempered distributiongeneralized heat equationFourier-Jacobi transformfractional Fourier-Jacobi type transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Heat equation (35K05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Harmonic analysis and PDEs (42B37)

Related Items (2)

Generalized translation and convolution associated to the linear canonical Fourier–Jacobi transform ⋮ Fractional Jacobi-Dunkl transform: properties and application

Cites Work

• The fractional Hankel transform of certain tempered distributions and pseudo-differential operators
• Inversion of the Lions transmutation operators using generalized wavelets
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Jacobi functions: the addition formula and the positivity of the dual convolution structure
• Fractional Fourier transform of tempered distributions and generalized pseudo-differential operator
• Fractional calculus and analytic continuation of the complex Fourier-Jacobi transform
• On Fourier-Jacobi transformation
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• The convolution structure for Jacobi function expansions
• Une Transformation de Laplace–Jacobi
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics

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