Geodesic
On introduction of two diffeomorphism invariant Colombeau algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 4, pp. 615-632.

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Equivalent definitions of two diffeomorphism invariant Colombeau algebras introduced in [7] and [5] (Grosser et al.) are listed and some new equivalent definitions are presented. The paper can be treated as tools for proving in [8] the equality of both algebras.
Classification : 46F05, 46F30
Keywords: Colombeau algebra of generalized functions; representative; diffeomorphism invariance 
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     title = {On introduction of two diffeomorphism invariant {Colombeau} algebras},
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Jelínek, Jiří. On introduction of two diffeomorphism invariant Colombeau algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 4, pp. 615-632. http://geodesic.mathdoc.fr/item/CMUC_2004__45_4_a5/