A new approach to temperate generalized functions
| dc.creator | Delcroix, Antoine | |
| dc.date | 2007-12-29 | |
| dc.date.accessioned | 2026-07-07T08:51:53Z | |
| dc.date.available | 2026-07-07T08:51:53Z | |
| dc.description | A new approach to the algebra G_τ of temperate nonlinear generalized functions is proposed, in which G_τ is based on the space O_{M} endowed with is natural topology in contrary to previous constructions. Thus, this construction fits perfectly in the general scheme of construction of Colombeau type algebras and reveals better properties of G_τ. This is illustrated by the natural introduction of a regularity theory in G_τ, of the Fourier transform, with the definition of G_{O_{C prime}}, the space of rapidly generalized distributions which is the Fourier image of G_τ. | |
| dc.description | Prelimary version - 13 pages | |
| dc.identifier | https://arxiv.org/abs/0801.0074 | |
| dc.identifier | http://arxiv.org/abs/0801.0074 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145095 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46F30, 46F05, 46E10, 42A38 | |
| dc.title | A new approach to temperate generalized functions | |
| dc.type | text |