A short solution to the Busemann-Petty problem
type: Item
instance of: scholarly article
title: A short solution to the Busemann-Petty problem
zbMATH Open document ID: 0924.44001
DOI: 10.1023/A:1009777119957
author: Bernard Maurey
author: Franck Barthe
author: Matthieu Fradelizi
published in: Positivity
publication date: 1999-04-26T00:00:00Z
review text: A unified analytic solution to the Busemann-Petty problem was recently found by \textit{R. J. Gardner}, \textit{A. Koldobsky} and \textit{T. Schlumprecht} [An analytic solution to the Busemann-Petty problem. C. R. Acad. Sci., Paris, Ser. I, Math. 328, No. 1, 29-34 (1999)]. In this paper the authors give an elementary proof of their formulas for the inverse Radon transform of the radial function \(\rho_K\) of an origin-symmetric star body \(K\).
Mathematics Subject Classification ID: 44A12
Mathematics Subject Classification ID: 52A20
Mathematics Subject Classification ID: 52A38
zbMATH DE Number: 1278720
zbMATH Keywords: convex body
zbMATH Keywords: star body
zbMATH Keywords: Radon transform
zbMATH Keywords: Busemann-Petty problem
reviewed by: Som Prakash Goyal
MaRDI profile type: Publication
full work available at URL: a:1009777119957
OpenAlex ID: W1574071849
description: scientific article; zbMATH DE number 1278720