D'Alembert's functional equation on products of topological groups (Q1109245)
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: D'Alembert's functional equation on products of topological groups |
scientific article; zbMATH DE number 4069475
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | D'Alembert's functional equation on products of topological groups |
scientific article; zbMATH DE number 4069475 |
Statements
D'Alembert's functional equation on products of topological groups (English)
0 references
1988
0 references
The author studies the cosine or D'Alembert's functional equation \((A)f(xy)+f(xy^{-1})=2f(x)f(y)\) (f: \(G\to C\), G, a group, C, complex numbers) using the reviewer's result on (A) and obtains results regarding continuity, extension etc. some of which are already known.
0 references
topological groups
0 references
cosine functional equation
0 references
D'Alembert's functional equation
0 references
0.97784805
0 references
0.94935066
0 references
0.9490681
0 references
0.9258163
0 references
0.92014253
0 references
0 references
0.9175751
0 references
