On positivity in algebras of tempered generalized functions
Functional Analysis
2008-08-07 v1
Abstract
An explicit counterexample shows that contrary to the situation in the special Colombeau algebra, positivity and invertibility cannot be characterized pointwise in algebras of tempered generalized functions. Further a point value characterization of the latter is refined.
Cite
@article{arxiv.0808.0789,
title = {On positivity in algebras of tempered generalized functions},
author = {Eberhard Mayerhofer},
journal= {arXiv preprint arXiv:0808.0789},
year = {2008}
}
Comments
9 pages, research notes