Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle

DOI10.1007/s00365-019-09468-zzbMath1458.33008arXiv1709.07226OpenAlexW2963048001MaRDI QIDQ2324620

Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov

Publication date: 11 September 2019

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

Full work available at URL: https://arxiv.org/abs/1709.07226

zbMATH Keywords

orthogonal polynomials on the unit circledouble affine Hecke algebraAskey-Wilson polynomials and algebraDelsarte-Genin map

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80)

Related Items (4)

Dualities in the q‐Askey Scheme and Degenerate DAHA ⋮ Finite-dimensional modules of the universal Askey-Wilson algebra and DAHA of type \((C_1^\vee ,C_1)\) ⋮ Para-orthogonal polynomials on the unit circle generated by Kronecker polynomials ⋮ The Askey–Wilson algebra and its avatars

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