Characterizations of algebras of rapidly decreasing generalized functions
Functional Analysis
2011-02-22 v1 Analysis of PDEs
Abstract
The well-known characterizations of Schwartz space of rapidly decreasing functions is extended to the algebra of rapidly decreasing generalized functions and to the algebra \mathcal{G}_{% \mathcal{S}}^{\infty} of regular rapidly decreasing generalized functions.
Cite
@article{arxiv.0801.0219,
title = {Characterizations of algebras of rapidly decreasing generalized functions},
author = {C. Bouzar and T. Saidi},
journal= {arXiv preprint arXiv:0801.0219},
year = {2011}
}