Tempered ultrafunctions
Functional Analysis
2015-10-15 v1
Abstract
Ultrafunctions are a particular class of functions defined on some non- Archimedean field. They provide generalized solutions to functional equa- tions which do not have any solutions among the real functions or the distributions. In this paper we introduce a new class of ultrafunctions, called tempered ultrafunctions, which are somewhat related to the tem- pered distributions and present some interesting peculiarities.
Cite
@article{arxiv.1510.04213,
title = {Tempered ultrafunctions},
author = {Vieri Benci},
journal= {arXiv preprint arXiv:1510.04213},
year = {2015}
}