One-Step Spherical Functions of the Pair (SU(n+1), U(n))

DOI10.1007/978-1-4614-7193-6_14zbMath1285.22013arXiv1209.4500OpenAlexW1565923981MaRDI QIDQ2871404

Juan Tirao, Inés Pacharoni

Publication date: 23 January 2014

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

Full work available at URL: https://arxiv.org/abs/1209.4500

zbMATH Keywords

complex projective spacematrix orthogonal polynomialsmatrix hypergeometric operatormatrix valued spherical functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Other special orthogonal polynomials and functions (33C47)

Related Items (6)

Pre-sequences of matrix orthogonal polynomials ⋮ Asymptotics of matrix valued orthogonal polynomials on \([-1, 1\)] ⋮ Matrix spherical functions for \((\text{SU}(n+m),\text{S}(\text{U}(n)\times\text{U}(m)))\): two specific classes ⋮ Two stochastic models of a random walk in the \(\mathrm U(n)\)-spherical duals of \(U(n+1)\) ⋮ Spherical functions associated with the three-dimensional sphere ⋮ Discrete matrix hypergeometric functions

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