| dc.creator | Fadli, B. | |
| dc.creator | Zeglami, D. | |
| dc.creator | Kabbaj, S. | |
| dc.date | 2018-09-25 | |
| dc.date.accessioned | 2019-11-14T12:01:15Z | |
| dc.date.available | 2019-11-14T12:01:15Z | |
| dc.identifier | https://www.revistaproyecciones.cl/article/view/3172 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/113656 | |
| dc.description | Let G be a locally compact Hausdorff group, let σ be a continuous involutive automorphism on G, and let µ, ν be regular, compactly supported, complex-valued Borel measures on G. We find the continuous solutions f : G → C of the functional equation
in terms of continuous characters of G. This equation provides a common generalization of many functional equations (d’Alembert’s, Cauchy’s, Gajda’s, Kannappan’s, Stetkær’s, Van Vleck’s equations...). So, a large class of functional equations will be solved.
| 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/3172/2937 | |
| dc.rights | Derechos de autor 2018 Proyecciones. Journal of Mathematics | es-ES |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | es-ES |
| dc.source | Proyecciones. Journal of Mathematics; Vol 37 No 3 (2018); 565-581 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 37 Núm. 3 (2018); 565-581 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 0716-0917 | |
| dc.subject | Functional equation | en-US |
| dc.subject | Van Vleck | en-US |
| dc.subject | Kannappan | en-US |
| dc.subject | Involutive automorphism | en-US |
| dc.subject | Group character | en-US |
| dc.title | An integral functional equation on groups under two measures. | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Artículo revisado por pares | es-ES |
