Paley–Wiener theorem and the Plancherel formula for the generalized Laplace transform

DOI10.1080/10652469.2012.756482zbMath1292.33010OpenAlexW1974883895MaRDI QIDQ2854320

Fethi Bouzaffour

Publication date: 18 October 2013

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

Full work available at URL: https://doi.org/10.1080/10652469.2012.756482

zbMATH Keywords

integral transformsPaley-Wiener theoremspecial functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

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• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Analytic properties of expansions, and some variants of Parseval- Plancherel formulas
• Une Transformation de Laplace–Jacobi
• On the inversion of the Laplace and Abel transforms for causal symmetric spaces
• A Paley-Wiener theorem for the spherical Laplace transform on causal symmetric spaces of rank 1