117 citations · 882 across the 65 of their papers we have counts for
4 papers · 1 filter
A convenient notion of compact set for generalized functions
Paolo Giordano, Michael Kunzinger
We introduce the notion of functionally compact sets into the theory of nonlinear generalized functions in the sense of Colombeau. The motivation behind our construction is to tran…
Hawking's singularity theorem for -metrics
Michael Kunzinger, Roland Steinbauer, Milena Stojkovic +1
We provide a detailed proof of Hawking's singularity theorem in the regularity class , i.e., for spacetime metrics possessing locally Lipschitz continuous first derivative…
A regularization approach to non-smooth symplectic geometry
Guenther Hoermann, Sanja Konjik, Michael Kunzinger
We introduce non-smooth symplectic forms on manifolds and describe corresponding Poisson structures on the algebra of Colombeau generalized functions. This is achieved by establish…
Strongly internal sets and generalized smooth functions
Paolo Giordano, Michael Kunzinger, Hans Vernaeve
Based on a refinement of the notion of internal sets in Colombeau's theory, so-called strongly internal sets, we introduce the space of generalized smooth functions, a maximal exte…