Symbol calculus for Gevrey pseudodifferential operators and adiabatic projectors
Analysis of PDEs
2026-05-13 v2 Mathematical Physics
math.MP
Abstract
We construct a parametrix of an elliptic Gevrey pseudodifferential operator, by introducing a family of norms for formal Gevrey symbols with the property of a Banach algebra under the symbol calculus. As an application, we obtain exponential estimates for adiabatic projectors in the Gevrey setting.
Cite
@article{arxiv.2603.07693,
title = {Symbol calculus for Gevrey pseudodifferential operators and adiabatic projectors},
author = {Haoren Xiong},
journal= {arXiv preprint arXiv:2603.07693},
year = {2026}
}