48 citations · 73 across the 3 of their papers we have counts for
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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.FA2009★ 22 cited
A global theory of algebras of generalized functions II: tensor distributions
Michael Grosser, Michael Kunzinger, Roland Steinbauer +1
We extend the construction of [19] by introducing spaces of generalized tensor fields on smooth manifolds that possess optimal embedding and consistency properties with spaces of t…