On the kernel of the product formula on symmetric spaces
type: Item
instance of: scholarly article
title: On the kernel of the product formula on symmetric spaces
zbMATH Open document ID: 1065.43014
DOI: 10.1007/BF02922174
author: Piotr Graczyk
author: Patrice Sawyer
published in: The Journal of Geometric Analysis
publication date: 2005-03-14T00:00:00Z
review text: In the paper under review the regularity properties of the density of the measure \(\mu_{x,y}= \delta e^x* \delta e^y\) intervening in the product formula for the spherical functions on symmetric spaces of non-compact type are studied. Under certain conditions, using spherical Fourier theory, an expression for the kernel is found. A geometric construction of its support is also given.
reviewed by: Stefan Balint
Mathematics Subject Classification ID: 43A90
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 2144344
zbMATH Keywords: symmetric spaces
zbMATH Keywords: product formula
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2144344