Spherical functions of fundamental \(K\)-types associated with the \(n\)-dimensional sphere

DOI10.3842/SIGMA.2014.071zbMath1297.22011arXiv1312.0909OpenAlexW2098276792MaRDI QIDQ401260

Ignacio Nahuel Zurrián, Juan Alfredo Tirao

Publication date: 26 August 2014

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0909

zbMATH Keywords

\(n\)-dimensional spherematrix 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 (9)

Matrix Gegenbauer polynomials: the \(2\times 2\) fundamental cases ⋮ Pre-sequences of matrix orthogonal polynomials ⋮ Unnamed Item ⋮ The Darboux process and time-and-band limiting for matrix orthogonal polynomials ⋮ Spinning partial waves for scattering amplitudes in \(d\) dimensions ⋮ Universal spinning Casimir equations and their solutions ⋮ Non-Abelian Toda-type equations and matrix valued orthogonal polynomials ⋮ Time and band limiting for matrix valued functions: an integral and a commuting differential operator ⋮ Matrix elements of irreducible representations of \(\mathrm{GL} (n + 1) \times\mathrm{GL} (n + 1)\) and multivariable matrix-valued orthogonal polynomials

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