The vector-valued big \(q\)-Jacobi transform

DOI10.1007/s00365-008-9009-zzbMath1194.33019arXivmath/0612643OpenAlexW2161752860MaRDI QIDQ734057

W. G. M. Groenevelt

Publication date: 19 October 2009

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612643

zbMATH Keywords

integral transformdifference operatorspectral analysisbig \(q\)-Jacobi polynomialsvector-valued big \(q\)-Jacobi transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Linear symmetric and selfadjoint operators (unbounded) (47B25) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Linear difference operators (47B39)

Related Items

Intertwiners of $U^{\prime }_q\bigl (\widehat{sl}(2)\bigr )$Uq′sl̂(2)-representations and the vector-valued big q-Jacobi transform, A hypergeometric function transform and matrix-valued orthogonal polynomials, A quantization of the harmonic analysis on the infinite-dimensional unitary group, Determinantal measures related to big \(q\)-Jacobi polynomials, Tensor products of $U^{\prime }_q\bigl (\widehat{sl}(2)\bigr )$Uq′sl̂(2)-modules and the big q2-Jacobi function transform, The indeterminate moment problem for the \(q\)-Meixner polynomials, Macdonald-level extension of beta ensembles and large-\(N\) limit transition, Orthogonality relations for Al-Salam-Carlitz polynomials of type II

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