On the Heyde theorem for finite Abelian groups (Q1770900)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the Heyde theorem for finite Abelian groups |
scientific article; zbMATH DE number 2153673
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Heyde theorem for finite Abelian groups |
scientific article; zbMATH DE number 2153673 |
Statements
On the Heyde theorem for finite Abelian groups (English)
0 references
7 April 2005
0 references
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.
0 references
idempotent distributions
0 references
