| dc.creator | Franssens, Ghislain R. | |
| dc.date | 2013-06-01 | |
| dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1311 | |
| dc.identifier | 10.4067/S0719-06462013000200007 | |
| dc.description | Certain incompatibilities are proved related to the prolongation of an associative derivation convolution algebra, defined for a subset of distributions, to a larger subset of distributions containing a derivation and the one distribution. This result is a twin of Schwartz’ impossibility theorem, stating certain incompatibilities related to the prolongation of the multiplication product from the set of continuous functions to a larger subset of distributions containing a derivation and the delta distribution. The presented result shows that the non-associativity of a recently constructed derivation convolution algebra of associated homogeneous distributions with support in R cannot be avoided. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1311/1166 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal; 71–77 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 15 Núm. 2 (2013): CUBO, A Mathematical Journal; 71–77 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Generalized function | en-US |
| dc.subject | Distribution | en-US |
| dc.subject | Convolution algebra | en-US |
| dc.subject | Impossibility theorem | en-US |
| dc.title | On the impossibility of the convolution of distributions | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
