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.
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
Keywords: Colombeau algebra of generalized functions; representative; diffeomorphism invariance
@article{CMUC_2004_45_4_a5,
author = {Jel{\'\i}nek, Ji\v{r}{\'\i}},
title = {On introduction of two diffeomorphism invariant {Colombeau} algebras},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {615--632},
year = {2004},
volume = {45},
number = {4},
mrnumber = {2103080},
zbl = {1103.46020},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2004_45_4_a5/}
}
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/