Wave-front sets related to quasi-analytic Gevrey sequences
Analysis of PDEs
2017-04-25 v4
Abstract
Quasi-analytic wave-front sets of distributions which correspond to the Gevrey sequence , are defined and investigated. The propagation of singularities are deduced by considering sequences of Gaussian windowed short-time Fourier transforms of distributions which are modifications of the original distributions by suitable restriction-extension techniques. Basic micro-local properties of the new wave-fronts are thereafter established.
Cite
@article{arxiv.1210.7741,
title = {Wave-front sets related to quasi-analytic Gevrey sequences},
author = {Stevan Pilipovic and Joachim Toft},
journal= {arXiv preprint arXiv:1210.7741},
year = {2017}
}
Comments
18 pages. This version is strongly different compared to earlier versions, mainly because a fundamental mistake occurs in these earlier versions