Internal sets and internal functions in Colombeau theory
Functional Analysis
2015-05-13 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0707.0994,
title = {Internal sets and internal functions in Colombeau theory},
author = {M. Oberguggenberger and H. Vernaeve},
journal= {arXiv preprint arXiv:0707.0994},
year = {2015}
}