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A New Approach to Diffeomorphism Invariant Algebras of Generalized Functions

Published online by Cambridge University Press:  13 February 2015

E. A. Nigsch
E. A. Nigsch*
Affiliation:
Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria ([email protected])
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Abstract

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 on manifolds, the construction becomes simpler and more accessible than before.

Keywords

algebras of nonlinear generalized functionsColombeau algebradiffeomorphism invariancePrimary 46F30Secondary 58B10
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 58 , Issue 3 , October 2015 , pp. 717 - 738
Copyright
Copyright © Edinburgh Mathematical Society 2015 

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