Internal sets and internal functions in Colombeau theory
Oberguggenberger, M. ; Vernaeve, H.
arXiv, 0707.0994 / Harvested from arXiv
Text on arXiv
Inspired by nonstandard analysis, we define and study internal subsets and internal functions in algebras of Colombeau generalized functions. We prove a saturation principle for internal sets and provide applications to Colombeau algebras.
Publié le : 2007-07-06
Classification:  Mathematics - Functional Analysis,  46F30 (Primary), 46S20 (Secondary) 
@article{0707.0994,
     author = {Oberguggenberger, M. and Vernaeve, H.},
     title = {Internal sets and internal functions in Colombeau theory},
     journal = {arXiv},
     volume = {2007},
     number = {0},
     year = {2007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0707.0994}
}

Oberguggenberger, M.; Vernaeve, H. Internal sets and internal functions in Colombeau theory. arXiv, Tome 2007 (2007) no. 0, . http://gdmltest.u-ga.fr/item/0707.0994/