Strongly internal sets and generalized smooth functions
Functional Analysis
2016-09-15 v2
Abstract
Based on a refinement of the notion of internal sets in Colombeau's theory, so-called strongly internal sets, we introduce the space of generalized smooth functions, a maximal extension of Colombeau generalized functions. Generalized smooth functions as morphisms between sets of generalized points form a sub-category of the category of topological spaces. In particular, they can be composed unrestrictedly.
Keywords
Cite
@article{arxiv.1402.3534,
title = {Strongly internal sets and generalized smooth functions},
author = {Paolo Giordano and Michael Kunzinger and Hans Vernaeve},
journal= {arXiv preprint arXiv:1402.3534},
year = {2016}
}
Comments
17 pages, some minor corrections