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arXiv · 1912.06819

Analytic Berezin-Toeplitz operators

Laurent Charles
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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.

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Laurent Charles. 2019-12-14. Analytic Berezin-Toeplitz operators. https://arxiv.org/abs/1912.06819

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