On a group analogue of the Heyde theorem-Reference-Cited by-同舟云学术

On a group analogue of the Heyde theorem

Published:2020-03-01 Issue:2 Volume:32 Page:307-318
ISSN:0933-7741
Container-title:Forum Mathematicum
language:
Short-container-title:

Author:

Myronyuk Margaryta¹

Affiliation:

1. B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Nauky Ave, Kharkiv, 61103, Ukraine

Abstract

AbstractHeyde proved that a Gaussian distribution on a real line is characterized by the symmetry of the conditional distribution of one linear form given another. The present article is devoted to an analogue of the Heyde theorem in the case when random variables take values in a locally compact Abelian group and the coefficients of the linear forms are integers.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2019-0190/pdf

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