Manifold-valued generalized functions in full Colombeau spaces

Details Manifold-valued generalized functions in full Colombeau spaces Manifold-valued generalized functions in full Colombeau spaces

2011-03-30

arxiv.org/abs/1103.5845v2

Mathematics

Functional Analysis

18 pages; fixed typos and updated introduction

Scientific paper

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.

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