| dc.creator | Zeglami, D. | |
| dc.creator | Tial, M. | |
| dc.creator | Kabbaj, S. | |
| dc.date | 2019-05-28 | |
| dc.date.accessioned | 2019-11-14T12:01:18Z | |
| dc.date.available | 2019-11-14T12:01:18Z | |
| dc.identifier | https://www.revistaproyecciones.cl/article/view/3566 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/113684 | |
| dc.description | In the present paper we determine, in terms of characters and additive functions, the solutions of the integral functional equation for the sine addition law
∫ G f(xyt)dµ(t) = f(x)g(y) + g(x)f(y), x, y ∈ G,
where G is a locally compact Hausdorff group and µ is a regular, compactly supported, complex-valued Borel measure on G. Some consequences of this result and an example are presented. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | es-ES |
| dc.relation | https://www.revistaproyecciones.cl/article/view/3566/3163 | |
| dc.rights | Derechos de autor 2019 Proyecciones. Revista de Matemática | es-ES |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0 | es-ES |
| dc.source | Proyecciones. Journal of Mathematics; Vol 38 No 2 (2019); 203-219 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 38 Núm. 2 (2019); 203-219 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 0716-0917 | |
| dc.subject | Functional equation | en-US |
| dc.subject | Sine and cosine addition laws | en-US |
| dc.subject | Character | en-US |
| dc.subject | Borel measure | en-US |
| dc.subject | Equations for complex functions | en-US |
| dc.subject | Equations for functions with more general domains and/or ranges | en-US |
| dc.title | The integral sine addition law. | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Artículo revisado por pares | es-ES |
| dc.type | text | en-US |
