Manifold-valued generalized functions in full Colombeau spaces

Michael Kunzinger, Eduard Nigsch

Published 2011-03-30, updated 2011-10-12Version 2

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.