Microlocal Projectors
Complex Variables
2024-07-10 v1 Analysis of PDEs
Symplectic Geometry
Abstract
The purpose of this article is to study operators whose kernel share some key features of Bergman kernels from complex analysis, and are approximate projectors. It turns out that they must be associated with a rich set of geometric data, on the one hand, and that on the other hand, all such operators can be locally conjugated in some sense.
Cite
@article{arxiv.2407.06644,
title = {Microlocal Projectors},
author = {Yannick Guedes Bonthonneau},
journal= {arXiv preprint arXiv:2407.06644},
year = {2024}
}
Comments
Part of this work was presented in November 2022 at CIRM