3 papers
math.FA2016
Full and special Colombeau algebras
Eduard A. Nigsch, Michael Grosser
We introduce full diffeomorphism-invariant Colombeau algebras with added $\varepsilone$-dependence in the basic space. This unites the full and special settings of the theory into…
math.FA2016
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.
math.FA2014
Unifying order structures for Colombeau algebras
Paolo Giordano, Eduard Nigsch
We define a general notion of set of indices which, using concepts from pre-ordered sets theory, permits to unify the presentation of several Colombeau-type algebras of nonlinear g…