4 citations · 26 across the 25 of their papers we have counts for
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math.FA2013★ 2 cited
Global algebras of nonlinear generalized functions with applications in general relativity
Eduard A. Nigsch, Clemens Sämann
We give an overview of the development of algebras of generalized functions in the sense of Colombeau and recent advances concerning diffeomorphism invariant global algebras of gen…
math.FA2013★ 1 cited
The functional analytic foundation of Colombeau algebras
E. A. Nigsch
Colombeau algebras constitute a convenient framework for performing nonlinear operations like multiplication on Schwartz distributions. Many variants and modifications of these alg…
math.FA2013
A new approach to diffeomorphism invariant algebras of generalized functions
Eduard Nigsch
We develop the diffeomorphism invariant Colombeau-type algebra of nonlinear generalized functions in a modern and compact way. Using a unifying formalism for the local setting and…