Radon, cosine and sine transforms on real hyperbolic space
type: Item
instance of: scholarly article
title: Radon, cosine and sine transforms on real hyperbolic space
zbMATH Open document ID: 1013.43006
author: Boris Rubin
published in: Advances in Mathematics
publication date: 2002-12-16T00:00:00Z
review text: The author obtains some new inversion formulae for the \(d\)-dimensional totally geodesic Radon transform on the \(n\)-dimensional real hyperbolic space, \(1\leq d\leq n-1\), in terms of polynomials of the Laplace-Beltrami operator and intertwining fractional integrals. Similar results are also established for hyperbolic cosine and sine transforms. See the remarks by \textit{B. Rubin} in Adv. Math. 192, No. 1, 225 (2005).
Mathematics Subject Classification ID: 43A85
zbMATH DE Number: 1845950
zbMATH Keywords: inversion formulae
zbMATH Keywords: Radon transform
zbMATH Keywords: Laplace-Beltrami operator
zbMATH Keywords: intertwining fractional integrals
zbMATH Keywords: hyperbolic cosine and sine transforms
reviewed by: Dashan Fan
MaRDI profile type: Publication
full work available at URL: aima.2002.2074
OpenAlex ID: W2078300961
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DOI: 10.1006/AIMA.2002.2074
description: scientific article; zbMATH DE number 1845950