4 citations · 26 across the 25 of their papers we have counts for
6 papers · 1 filter
A survey on duals of topological tensor products
Eduard A. Nigsch, Norbert Ortner
We give a survey on classical and recent results on dual spaces of topological tensor products as well as some examples where these are used.
Approximation properties of local smoothing kernels
Eduard A. Nigsch
We study some properties of smoothing kernels and their local expression as they appear in the construction of Colombeau-type generalized function algebras which are diffeomorphism…
Some extensions to the functional analytic approach to Colombeau algebra
Eduard A. Nigsch
We extend the functional analytic approach to Colombeau-type spaces of nonlinear generalized functions in order to study algebras of tempered generalized functions. We obtain a def…
The space of distributions vanishing at infinity - duals of tensor products
Eduard A. Nigsch, Norbert Ortner
Analogous to L.~Schwartz' study of the space of semi-regular distributions we investigate the topological properties of the space $\mathcal{D}'(\dot{\ma…
Nonlinear generalized sections and vector bundle homomorphisms in Colombeau spaces of generalized functions
Eduard A. Nigsch
We define and characterize spaces of manifold-valued generalized functions and generalized vector bundle homomorphisms in the setting of the full diffeomorphism-invariant vector-va…
On a nonlinear Peetre's theorem in full Colombeau algebras
Eduard A. Nigsch
We adapt a nonlinear version of Peetre's theorem on local operators in order to investigate representatives of nonlinear generalized functions occurring in the theory of full Colom…