Integral representation and uniform limits for some Heckman-Opdam hypergeometric functions of type \textsl{BC}
From MaRDI portal
Publication:2790721
DOI10.1090/tran6673zbMath1336.33032arXiv1402.5793OpenAlexW2009533341MaRDI QIDQ2790721
Publication date: 8 March 2016
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.5793
Semisimple Lie groups and their representations (22E46) Harmonic analysis and spherical functions (43A90) Hypergeometric functions associated with root systems (33C67) Orthogonal polynomials and functions associated with root systems (33C52)
Related Items (6)
Central limit theorems for random walks associated with hypergeometric functions of type BC ⋮ Dispersion and limit theorems for random walks associated with hypergeometric functions of type \(BC\) ⋮ Freezing limits for Calogero–Moser–Sutherland particle models ⋮ A Laplace-type representation for some generalized spherical functions of type $BC$ ⋮ An Introduction to Dunkl Theory and Its Analytic Aspects ⋮ Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positive convolution structure for a class of Heckman-Opdam hypergeometric functions of type BC
- A limit relation for Dunkl-Bessel functions of type A and B
- Spaces with an abstract convolution of measures
- The Calogero-Sutherland model and generalized classical polynomials
- Harmonic analysis for certain representations of graded Hecke algebras
- Central limit theorems for hyperbolic spaces and Jacobi processes on \([0,\infty [\)
- A central limit theorem for random walks on the dual of a compact Grassmannian
- Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
- Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications
- Limit transition between hypergeometric functions of type BC and type A
- Limit theorems for radial random walks on p × q-matrices as p tends to infinity
- Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials
- Limit Transitions for BC Type Multivariable Orthogonal Polynomials
- Spherical Functions on SO0(p, q)/ SO(p) × SO(q)
- Product formulas for a two-parameter family of Heckman-Opdam hypergeometric functions of type BC
- Paley–Wiener theorems for the Dunkl transform
- Quaternions and matrices of quaternions
This page was built for publication: Integral representation and uniform limits for some Heckman-Opdam hypergeometric functions of type \textsl{BC}