Une Transformation de Laplace–Jacobi

DOI10.1137/0514078zbMath0519.44003OpenAlexW2016392389MaRDI QIDQ3669945

Michel Mizony

Publication date: 1983

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0514078

zbMATH Keywords

Laplace transformJacobi functioninversion formulaLie groupfractional integralFourier-Jacobi transformLaplace-Jacobi transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Laplace transform (44A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Other transforms and operators of Fourier type (43A32)

Related Items (11)

Patterns and structure in systems governed by linear second-order differential equations ⋮ Volterra algebra and the Bethe–Salpeter equation ⋮ Spherical functions on ordered symmetric spaces ⋮ Symmetry scattering ⋮ Asymptotic expansion and generalized Schläfli integral representation for the eigenfunction of a singular second-order differential operator ⋮ Fractional Fourier-Jacobi type transform ⋮ Symmetry scattering on the hyperboloid SO(2,1)/SO(2) in different coordinate systems ⋮ An application of shift operators to ordered symmetric spaces ⋮ Jacobi radial stable processes ⋮ Paley–Wiener theorem and the Plancherel formula for the generalized Laplace transform ⋮ A Paley-Wiener theorem for the spherical Laplace transform on causal symmetric spaces of rank 1

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