Spherical functions for Gelfand pairs of complex reflection groups
type: Item
instance of: scholarly article
title: Spherical functions for Gelfand pairs of complex reflection groups
zbMATH Open document ID: 1498.20099
author: Robin van Haastrecht
published in: Indagationes Mathematicae. New Series
publication date: 2021-03-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/2007.06265
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 33C55
Mathematics Subject Classification ID: 33C80
Mathematics Subject Classification ID: 43A90
zbMATH DE Number: 7322769
zbMATH Keywords: Gelfand pairs of finite groups
zbMATH Keywords: finite complex reflection groups
zbMATH Keywords: \((n+1,m+1)\)-hypergeometric functions
zbMATH Keywords: zonal spherical functions
zbMATH Keywords: product formulas
zbMATH Keywords: Laplace operator
MaRDI profile type: Publication
OpenAlex ID: W3117331405
arXiv ID: 2007.06265
cites work: Orthogonal polynomials arising from the wreath products of a dihedral group with a symmetric group.
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cites work: 𝑞-Krawtchouk polynomials as spherical functions on the Hecke algebra of type 𝐵
cites work: Zonal spherical functions on the complex reflection groups and (\(n+1,m+1\))-hypergeometric functions
cites work: An Elementary Proof of Dunkl’s Addition Theorem for Krawtchouk Polynomials
cites work: Finite Unitary Reflection Groups
DOI: 10.1016/J.INDAG.2020.12.002
description: scientific article