Determinantal formulas for zonal spherical functions on hyperboloids

DOI10.1007/PL00004433zbMath0983.43007OpenAlexW2078558049MaRDI QIDQ5929684

Anatol N. Kirillov, Jan Felipe van Diejen

Publication date: 21 April 2002

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004433

zbMATH Keywords

hyperboloidSchrödinger equationGauss hypergeometric functionLaplace-Beltrami operatorpseudo-Riemannian symmetric spacesoliton potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Classical hypergeometric functions, ({}_2F_1) (33C05) Spherical harmonics (33C55) Harmonic analysis and spherical functions (43A90)

Related Items (2)

Generalized Umemura polynomials. ⋮ Degenerate Riemann theta functions, Fredholm and Wronskian representations of the solutions to the KdV equation and the degenerate rational case

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