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arXiv:1309.1451 [math.FA]AbstractReferencesReviewsResources

Global algebras of nonlinear generalized functions with applications in general relativity

Eduard A. Nigsch, Clemens Sämann

Published 2013-09-05, updated 2013-10-22Version 2

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 generalized functions and tensor fields. We furthermore provide a survey on possible applications in general relativity in light of the limitations of distribution theory.

Journal: Sao Paulo Journal of Mathematical Sciences, 7 (2013), no. 2, 143-171
Categories: math.FA, math-ph, math.MP
Subjects: 46F30, 46T30, 83C35, 53C50
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