| dc.creator | Prunescu, Mihai | |
| dc.date | 2007-12-01 | |
| dc.date.accessioned | 2019-05-03T12:36:46Z | |
| dc.date.available | 2019-05-03T12:36:46Z | |
| dc.identifier | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1586 | |
| dc.identifier.uri | http://revistaschilenas.uchile.cl/handle/2250/84314 | |
| dc.description | The functional equation 𝑓(𝑥+𝑦) - 𝑓(𝑥) - 𝑓(𝑦) = 𝑔(𝑥, 𝑦) has a solution 𝑓 that belongs to C0(ℝ) if and only if the symmetric cocycle 𝑔 belongs to C0(ℝ2). If the symmetric cocyle 𝑔 is recursively approximable, there exists a solution 𝑓 which is recursively approximable also. If 𝑔 belongs to C1(ℝ2) then there exists an integral expression in 𝑔 for a solution 𝑓 that belongs to C1(ℝ), and the same happens for the classes Ck, C∞, analytic and polynomial. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1586/1439 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 9 Núm. 3 (2007): CUBO, A Mathematical Journal; 39–45 | es-ES |
| dc.source | CUBO, A Mathematical Journal; Vol 9 No 3 (2007): CUBO, A Mathematical Journal; 39–45 | en-US |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.title | Concrete algebraic cohomology for the group (ℝ, +) or how to solve the functional equation 𝑓(𝑥+𝑦) - 𝑓(𝑥) - 𝑓(𝑦) = 𝑔(𝑥, 𝑦) | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
