Colombeau generalized Gevrey ultradistributions and their microlocal analysis
Functional Analysis
2011-02-22 v1 Analysis of PDEs
Abstract
The purpose of this paper is to construct and to study algebras of generalized Gevrey ultardistributions. We define the generalized Gevrey wave front and give its main properties. As a fundamental application, the well known Hormander's theorem on the product of two distributions is extended to the case of generalized Gevrey ultradistributions
Cite
@article{arxiv.math/0603597,
title = {Colombeau generalized Gevrey ultradistributions and their microlocal analysis},
author = {K. Benmeriem and C. Bouzar},
journal= {arXiv preprint arXiv:math/0603597},
year = {2011}
}