Analysis on Root Systems
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Publication:3791376
DOI10.4153/CJM-1987-064-xzbMath0647.22004OpenAlexW2040745704MaRDI QIDQ3791376
Amédée Debiard, Bernard Gaveau
Publication date: 1987
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cjm-1987-064-x
eigenvalueseigenfunctionsdifferential operatorsLaplace-Beltrami operatorsymmetric spaceroot systemsheat kernelsWeyl alcove
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Differential geometry of symmetric spaces (53C35)
Related Items (11)
Eigenvalue asymptotics for the Schrödinger operators on the real and the complex hyperbolic spaces ⋮ L'oscillateur relativiste et les fonctions de Mathieu ⋮ The algebra of two dimensional generalized Chebyshev-Koornwinder oscillator ⋮ On the inverse Abel transforms for certain Riemannian symmetric spaces of rank 2 ⋮ Hypergeometric ladders and spherical polynomials for root systems \(BC\) of rank 2 ⋮ Chebyshev Polynomials in Several Variables and the Radial Part of the Laplace-Beltrami Operator ⋮ Closed form formulae for the heat kernels and the Green functions for the Laplacians on the symmetric spaces of rank one ⋮ Représentation intégrale de certaines séries de fonctions sphériques d'un système de racines \(BC\). (Integral representation of certain series of spherical functions of a root system \(BC\)) ⋮ Brownian motion on the hyperbolic plane and Selberg trace formula ⋮ The propagator of the Calogero-Moser system in an external quadratic potential ⋮ Analysis on flat symmetric spaces
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