Tensor Valued Colombeau Functions on Manifolds
| dc.creator | Grosser, Michael | |
| dc.date | 2008-12-17 | |
| dc.date.accessioned | 2026-07-07T12:16:14Z | |
| dc.date.available | 2026-07-07T12:16:14Z | |
| dc.description | Extending the construction of the (intrinsically defined) full algebra of scalar valued Colombeau functions on a smooth manifold M (Grosser et al., Adv. Math. 166 (2002), 179-206) we present a suitable basic space for eventually obtaining tensor valued generalized functions on M, via the usual quotient construction. This basic space canonically contains the tensor valued distributions and permits a natural extension of the classical Lie derivative. Its members are smooth functions depending - via a third slot - on so-called transport operators, in addition to slots one (smooth n-forms on M) and two (points of M) from the scalar case. | |
| dc.description | LaTeX, 10 pages, Contribution presented at the International Conference on Generalized Functions, GF07, September 2007, Bedlewo, Poland, final version; to be published in the conference proceedings, Banach Center Publications | |
| dc.identifier | https://arxiv.org/abs/0812.3275 | |
| dc.identifier | http://arxiv.org/abs/0812.3275 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211739 | |
| dc.subject | Functional Analysis | |
| dc.subject | Mathematical Physics | |
| dc.subject | 46F30 (Primary); 46T30, 53A45 (Secondary) | |
| dc.title | Tensor Valued Colombeau Functions on Manifolds | |
| dc.type | text |