Generalized Gevrey ultradistributions
Functional Analysis
2011-02-22 v1 Analysis of PDEs
Abstract
We first introduce new algebras of generalized functions containing Gevrey ultradistributions and then develop a Gevrey microlocal analysis suitable for these algebras. Finally, we give an application through an extension of the well-known H\"{o}rmander's theorem on the wave front of the product of two distributions.
Cite
@article{arxiv.0707.0124,
title = {Generalized Gevrey ultradistributions},
author = {Chikh Bouzar and Khaled Benmeriem},
journal= {arXiv preprint arXiv:0707.0124},
year = {2011}
}