Analytic Berezin-Toeplitz operators
Complex Variables
2019-12-17 v1 Differential Geometry
Functional Analysis
Abstract
We introduce new tools for analytic microlocal analysis on K\"ahler manifolds. As an application, we prove that the space of Berezin-Toeplitz operators with analytic contravariant symbol is an algebra. We also give a short proof of the Bergman kernel asymptotics up to an exponentially small error.
Cite
@article{arxiv.1912.06819,
title = {Analytic Berezin-Toeplitz operators},
author = {Laurent Charles},
journal= {arXiv preprint arXiv:1912.06819},
year = {2019}
}