On the Heyde theorem for finite Abelian groups
type: Item
instance of: scholarly article
title: On the Heyde theorem for finite Abelian groups
zbMATH Open document ID: 1070.60020
published in: Journal of Theoretical Probability
publication date: 2005-04-07T00:00:00Z
review text: The Heyde characterization theorem for the Gaussian distribution on the real line is well-known. In the present article, analogs of this theorem are studied for the case of finite Abelian group valued random variables. Shifts of the Haar measure of some compact subgroups of a finite Abelian group are called idempotent distributions. The role of Gaussian is done by idempotent distributions.
reviewed by: Yasuhiro Asoo
Mathematics Subject Classification ID: 60E99
Mathematics Subject Classification ID: 60B99
zbMATH DE Number: 2153673
zbMATH Keywords: idempotent distributions
author: G. M. Fel'dman
MaRDI profile type: Publication
full work available at URL: s10959-004-0583-0
OpenAlex ID: W2045668735
cites work: Bernstein Gaussian Distributions on Groups
cites work: On the Skitovich–Darmois Theorem on Abelian Groups
cites work: More on the Skitovich-Darmous Theorem for Finite Abelian Groups
cites work: On the Skitovich-Darmois theorem for compact Abelian groups
cites work: Q5611518
cites work: Gauß'sche Wahrscheinlichkeitsmaße auf Corwinschen Gruppen
cites work: Q5179661
DOI: 10.1007/S10959-004-0583-0
description: scientific article; zbMATH DE number 2153673