An algebraic approach to manifold-valued generalized functions
Functional Analysis
2012-05-31 v2 Differential Geometry
Abstract
We discuss the nature of structure-preserving maps of varies function algebras. In particular, we identify isomorphisms between special Colombeau algebras on manifolds with invertible manifold-valued generalized functions in the case of smooth parametrization. As a consequence, and to underline the consistency and validity of this approach, we see that this generalized version on algebra isomorphisms in turn implies the classical result on algebras of smooth functions.
Cite
@article{arxiv.1010.3562,
title = {An algebraic approach to manifold-valued generalized functions},
author = {Annegret Burtscher},
journal= {arXiv preprint arXiv:1010.3562},
year = {2012}
}
Comments
7 pages