Journal
MONATSHEFTE FUR MATHEMATIK
Volume 137, Issue 1, Pages 31-49Publisher
SPRINGER WIEN
DOI: 10.1007/s00605-002-0488-x
Keywords
algebras of generalized functions; Colombeau algebras; generalized functions on manifolds
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Based on Colombeau's theory of algebras of generalized functions we introduce the concepts of generalized functions taking values in differentiable manifolds as well as of generalized vector bundle homomorphisms. We study their basic properties, in particular with respect to some new point value concepts for generalized functions and indicate applications of the resulting theory in general relativity.
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