Heckman-Opdam's Jacobi polynomials for the \(BC_{n}\) root system and generalized spherical functions

DOI10.1016/j.aim.2003.08.005zbMath1054.33007OpenAlexW2034685946MaRDI QIDQ1881100

Alexei Oblomkov

Publication date: 4 October 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2003.08.005

Mathematics Subject Classification ID

Orthogonal polynomials and functions associated with root systems (33C52)

Related Items (7)

\(N\)-point spherical functions and asymptotic boundary KZB equations ⋮ A class of Calogero type reductions of free motion on a simple Lie group ⋮ Folded and contracted solutions of coupled classical dynamical Yang-Baxter and reflection equations ⋮ DERIVATIONS OF THE TRIGONOMETRIC BC_n SUTHERLAND MODEL BY QUANTUM HAMILTONIAN REDUCTION ⋮ Hamiltonian reductions of free particles under polar actions of compact Lie groups ⋮ On the self-adjointness of certain reduced Laplace-Beltrami operators ⋮ An integrable BC(n) Sutherland model with two types of particles

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• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
• vector valued spherical functions and macdonald–koornwinder polynomials

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