Determinantal measures related to big \(q\)-Jacobi polynomials

DOI10.1007/s10688-015-0107-yzbMath1376.60016OpenAlexW1948773210MaRDI QIDQ903415

V. E. Gorin, Grigori Olshanski

Publication date: 6 January 2016

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

Full work available at URL: https://doi.org/10.1007/s10688-015-0107-y

zbMATH Keywords

basic hypergeometric seriesGelfand-Tsetlin graphbig \(q\)-Jacobi polynomialsdeterminantal measures

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Probability theory on algebraic and topological structures (60B99)

Related Items

Multivariate Jacobi polynomials and the Selberg integral. II, Infinite-dimensional measure spaces and frame analysis, \(q\)-Pearson pair and moments in \(q\)-deformed ensembles

Cites Work

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• Multivariate Jacobi polynomials and the Selberg integral
• The boundary of the Gelfand-Tsetlin graph: A new approach
• The \(q\)-Gelfand-Tsetlin graph, Gibbs measures and \(q\)-Toeplitz matrices
• The vector-valued big \(q\)-Jacobi transform
• Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes
• Orthogonal polynomial ensembles in probability theory
• The problem of harmonic analysis on the infinite-dimensional unitary group.
• Probability measures on dual objects to compact symmetric spaces, and hypergeometric identities.
• The indeterminate moment problem for the \(q\)-Meixner polynomials