On strongly negative definite functions for the product of commutative hypergroups
type: Item
instance of: scholarly article
zbMATH Open document ID: 1244.43002
publication date: 2012-07-05T00:00:00Z
full work available at URL: index.html
Mathematics Subject Classification ID: 43A62
zbMATH DE Number: 6053413
zbMATH Keywords: negative definite functions
MaRDI profile type: Publication
author: A. S. Okb El Bab
author: H. A. Ghany
author: S. Ramadan
title: On strongly negative definite functions for the product of commutative hypergroups
published in: International Journal of Pure and Applied Mathematics
review text: The authors consider negative definite functions and a Lévy-Khintchine representation for products of certain commutative hypergroups.NEWLINENEWLINEThe paper should not have been published in this form: It contains several incorrect definitions, statements, and citations. E.g., it is not clear why the authors consider some technical property of direct products in Lemma 11, where this property does not appear before, and why they consider direct products and not just simply commutative hypergroups satisfying certain restrictions which are preserved under direct products.NEWLINENEWLINEBy the way, the best known results on the Lévy-Khintchine representation on hypergroups were obtained in papers of Christian Rentzsch.
reviewed by: Michael Voit
description: scientific article; zbMATH DE number 6053413