Fonctions de Bessel sur une algèbre de Jordan. (Bessel functions on a Jordan algebra)
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Publication:1105085
zbMath0648.33006MaRDI QIDQ1105085
Publication date: 1990
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
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Weighted Laplace transforms and Bessel functions on Hermitian symmetric spaces ⋮ Differential operators, exact pullback formulas of Eisenstein series, and Laplace transforms ⋮ Bessel convolutions on matrix cones: Algebraic properties and random walks ⋮ Computation of weighted Bergman inner products on bounded symmetric domains and restriction to subgroups ⋮ Computation of weighted Bergman inner products on bounded symmetric domains and Parseval-Plancherel-type formulas under subgroups ⋮ The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula ⋮ On partial Fourier–Bessel operator in higher dimension ⋮ Hankel transform, \(\mathcal{K}\)-Bessel functions and zeta distributions in the Dunkl setting ⋮ Hermitian symmetric spaces of tube type and multivariate Meixner-Pollaczek polynomials ⋮ Unnamed Item ⋮ Bessel operators on Jordan pairs and small representations of semisimple Lie groups ⋮ Minimal representations via Bessel operators ⋮ Kelvin transform and multi-harmonic polynomials ⋮ Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups ⋮ Bessel systems for Jordan algebras of rank 2 and 3
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