Spherical functions on Euclidean space
type: Item
instance of: scholarly article
title: Spherical functions on Euclidean space
zbMATH Open document ID: 1106.43007
author: Joseph A. Wolf
published in: Journal of Functional Analysis
publication date: 2006-11-15T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0509459
review text: The author gives exact parametrizations of the space of \((C,K)\)-spherical functions by a certain affine algebraic variety, and of the positive definite ones by a real form of the variety. Exact formulae for the spherical functions in the case where \(K\) is transitive on the limit sphere in \(E^n\) are also given.
Mathematics Subject Classification ID: 43A90
zbMATH DE Number: 5072835
zbMATH Keywords: spherical function
zbMATH Keywords: symmetric space
zbMATH Keywords: Euclidean space
zbMATH Keywords: Bessel function
reviewed by: Stefan Balint
MaRDI profile type: Publication
OpenAlex ID: W2128952678
arXiv ID: math/0509459
cites work: Q4090566
cites work: Q4780265
cites work: Q5734920
cites work: Q3331943
cites work: Geometric Invariant Theory
cites work: Q5586507
cites work: Q5846799
cites work: Q5719710
cites work: The automorphism group of a homogeneous almost complex manifold
DOI: 10.1016/J.JFA.2005.12.020
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description: scientific article