Pseudo-differential operators in a Gelfand-Shilov setting
Functional Analysis
2016-01-21 v2
Abstract
We introduce some general classes of pseudodifferential operators with symbols admitting exponential type growth at infinity and we prove mapping properties for these operators on Gelfand-Shilov spaces both in the quasi-analytic and in the non-quasi-analytic case. Moreover, we prove composition theorems and certain invariance properties of these classes.
Cite
@article{arxiv.1505.04096,
title = {Pseudo-differential operators in a Gelfand-Shilov setting},
author = {Marco Cappiello and Joachim Toft},
journal= {arXiv preprint arXiv:1505.04096},
year = {2016}
}
Comments
22 pages. Some details are updated compared to earlier versions