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.
Keywords: algebras of generalized functions, manifold-valued generalized functions, full Colombeau algebras
AMS Subject Classification: 46F30 46T30 26E15