Multivariate Jacobi polynomials and the Selberg integral

DOI10.1007/s10688-012-0034-0zbMath1306.43006OpenAlexW1981447565MaRDI QIDQ366091

A. A. Osinenko, Grigori Olshanski

Publication date: 11 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-012-0034-0

zbMATH Keywords

Selberg integralbranching graphsmultivariate Jacobi polynomials

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Orthogonal polynomials and functions associated with root systems (33C52) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Related Items

Markov processes on the duals to infinite-dimensional classical Lie groups, Multivariate Jacobi polynomials and the Selberg integral. II, Harmonic analysis on the infinite-dimensional unitary-symplectic group, \(q\)-deformed character theory for infinite-dimensional symplectic and orthogonal groups, Determinantal measures related to big \(q\)-Jacobi polynomials, Skew Howe duality and limit shapes of Young diagrams, BC type \(z\)-measures and determinantal point processes, The Hermitian Jacobi process: a simplified formula for the moments and application to optical fiber MIMO channels, Moments of the Hermitian matrix Jacobi process, Lecture hall tableaux

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