Manifold-valued generalized functions in full Colombeau spaces
Functional Analysis
2012-05-31 v2
Abstract
We introduce the notion of generalized function taking values in a smooth manifold into the setting of full Colombeau algebras. After deriving a number of characterization results we also introduce a corresponding concept of generalized vector bundle homomorphisms and, based on this, provide a definition of tangent map for such generalized functions.
Cite
@article{arxiv.1103.5845,
title = {Manifold-valued generalized functions in full Colombeau spaces},
author = {Michael Kunzinger and Eduard Nigsch},
journal= {arXiv preprint arXiv:1103.5845},
year = {2012}
}
Comments
18 pages; fixed typos and updated introduction