On dense subspaces in a class of Fréchet function spaces on R^n
| dc.creator | de Jeu, M. F. E. | |
| dc.date | 1994-12-13 | |
| dc.date.accessioned | 2026-07-07T09:13:31Z | |
| dc.date.available | 2026-07-07T09:13:31Z | |
| dc.description | When dealing with concrete problems in a function space on R^n, it is sometimes helpful to have a dense subspace consisting of functions of a particular type, adapted to the problem under consideration. We give a theorem that allows one to write down many of such subspaces in commonly occurring Fréchet function spaces. These subspaces are all of the form $\{pf_0 | p\in{\cal P}\}$ where $f_0$ is a fixed function and ${\cal P}$ is an algebra of functions. Classical results like the Stone-Weierstrass theorem for polynomials and the completeness of the Hermite functions are related by this theorem. | |
| dc.description | 14 pages, no figures, plain Tex | |
| dc.identifier | https://arxiv.org/abs/funct-an/9412003 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9412003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152353 | |
| dc.subject | Functional Analysis | |
| dc.title | On dense subspaces in a class of Fréchet function spaces on R^n | |
| dc.type | text |