Q1088271
type: Item
instance of: scholarly article
title: Seul le groupe des similitudes-inversions préserve le type de la loi de Cauchy-conforme de \({\mathbb{R}}^ n\) pour \(n>1\). (Only the group of similitude-inversions preserves the Cauchy-conformal type distributions of \({\mathbb{R}}^ n\) for \(n>1)\)
zbMATH Open document ID: 0612.60019
DOI: 10.1016/0022-1236(86)90056-X
published in: Journal of Functional Analysis
publication date: 1986-01-01T00:00:00Z
review text: On \({\mathbb{R}}^ n\), \(n\geq 2\) the conformal-Cauchy type distributions are introduced. It is proved that a measurable transform \(F: {\mathbb{R}}^ n\to {\mathbb{R}}^ n\) preserves this type iff it coincides almost everywhere with either a similitude or an inversion-similitude of \({\mathbb{R}}^ n\). For the case \(n=1\) see the author, Proc. Am. Math. Soc. 67(1977), 277-286 (1978; Zbl 0376.28019).
Mathematics Subject Classification ID: 60E99
zbMATH DE Number: 3990496
zbMATH Keywords: conformal-Cauchy type distributions
author: Gérard Letac
MaRDI profile type: Publication
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label: Seul le groupe des similitudes-inversions préserve le type de la loi de Cauchy-conforme de \({\mathbb{R}}^ n\) pour \(n>1\). (Only the group of similitude-inversions preserves the Cauchy-conformal type distributions of \({\mathbb{R}}^ n\) for \(n>1)\)
description: scientific article; zbMATH DE number 3990496