The Wiener property for a class of discrete hypergroups (Q1120101)
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: The Wiener property for a class of discrete hypergroups |
scientific article; zbMATH DE number 4099892
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Wiener property for a class of discrete hypergroups |
scientific article; zbMATH DE number 4099892 |
Statements
The Wiener property for a class of discrete hypergroups (English)
0 references
1989
0 references
Among important Banach algebras of measures on locally compact spaces, it is worth to study discrete hypergroups: they do, in fact, possess an (easily computable) Haar measure. Very important results are already available for discrete groups. We extend here, to begin with, the Wiener property to all discrete hypergroups of subexponential growth. As a consequence of the methods here developed, it is proved in a completely different way than was previously known, that commutative locally compact hypergroups are symmetric.
0 references
Banach algebras
0 references
measures on locally compact spaces
0 references
discrete hypergroups
0 references
Haar measure
0 references
Wiener property
0 references
commutative locally compact hypergroups
0 references
0.7975281476974487
0 references
0.7674965858459473
0 references
0.7609869241714478
0 references
0.7564202547073364
0 references
