18 citations · 18 across the 5 of their papers we have counts for
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math.FA2005
Group invariants in algebras of generalized functions
Sanja Konjik, Michael Kunzinger
We study invariance properties of Colombeau generalized functions under actions of smooth Lie transformation groups. Several characterization results analogous to the smooth settin…
math.FA2003
Non-smooth differential geometry and algebras of generalized functions
Michael Kunzinger
Algebras of generalized functions offer possibilities beyond the purely distributional approach in modelling singular quantities in non-smooth differential geometry. This article p…
math.FA2003
Generalized flows and singular ODEs on differentiable manifolds
Michael Kunzinger, Michael Oberguggenberger, Roland Steinbauer +1
Based on the concept of manifold valued generalized functions we initiate a study of nonlinear ordinary differential equations with singular (in particular: distributional) right h…