4 citations · 26 across the 25 of their papers we have counts for
4 papers · 1 filter
Bornologically isomorphic representations of distributions on manifolds
Eduard Nigsch
Distributional tensor fields can be regarded as multilinear mappings with distributional values or as (classical) tensor fields with distributional coefficients. We show that the c…
Point value characterizations and related results in the full Colombeau algebras G^e and G^d
Eduard Nigsch
We present a point value characterization for elements of the elementary full Colombeau algebra G^e and the diffeomorphism invariant full Colombeau algebra G^d. Moreover, several r…
Nonlinear tensor distributions on Riemannian manifolds
Eduard Nigsch
We construct an algebra of nonlinear generalized tensor fields on manifolds in the sense of J.-F. Colombeau, i.e., containing distributional tensor fields as a linear subspace and…
Manifold-valued generalized functions in full Colombeau spaces
Michael Kunzinger, Eduard Nigsch
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…