Intrinsic characterization of manifold-valued generalized functions
| dc.creator | Kunzinger, Michael | |
| dc.creator | Steinbauer, Roland | |
| dc.creator | Vickers, James A. | |
| dc.date | 2002-05-21 | |
| dc.date.accessioned | 2026-07-07T04:48:37Z | |
| dc.date.available | 2026-07-07T04:48:37Z | |
| dc.description | The concept of generalized functions taking values in a differentiable manifold is extended to a functorial theory. We establish several characterization results which allow a global intrinsic formulation both of the theory of manifold-valued generalized functions and of generalized vector bundle homomorphisms. As a consequence, a characterization of equivalence that does not resort to derivatives (already known for the scalar-valued cases of Colombeau's construction) is achieved. These results are employed to derive a point value description of all types of generalized functions valued in manifolds and to show that composition can be carried out unrestrictedly. Finally, a new concept of association adapted to the present setting is introduced. | |
| dc.description | LaTeX, 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0205223 | |
| dc.identifier | http://arxiv.org/abs/math/0205223 | |
| dc.identifier | Proc. London Math. Soc. 87 (2), 451-470, 2003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64118 | |
| dc.subject | Functional Analysis | |
| dc.subject | Mathematical Physics | |
| dc.subject | 46T30; 46F30; 53B20 | |
| dc.title | Intrinsic characterization of manifold-valued generalized functions | |
| dc.type | text |