4 citations · 26 across the 25 of their papers we have counts for
Showing 2019 · math.FAShow all
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math.FA2019★ 3 cited
A nonlinear theory of distributional geometry
Eduard A. Nigsch, James A. Vickers
This paper builds on the theory of generalised functions begun in [1]. The Colombeau theory of generalised scalar fields on manifolds is extended to a nonlinear theory of generalis…
math.FA2019
Nonlinear generalised functions on manifolds
Eduard A. Nigsch, James A. Vickers
This paper lays the foundations for a nonlinear theory of differential geometry that is developed in a subsequent paper which is based on Colombeau algebras of tensor distributions…
math.FA2019
On the space of Laplace transformable distributions
Andreas Debrouwere, Eduard A. Nigsch
We show that the space of Laplace transformable distributions, where is a non-empty convex open set, is an ultrabornological (PLS)-space…