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arXiv · 2504.06648

Semiclassical concentration estimates for Berezin-Toeplitz quasimodes for regular energies

Nathan Réguer
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Abstract

The purpose of this article is to prove sharp $L^p$ bounds for quasimodes of Berezin-Toeplitz operators. We consider examples with explicit computations and a general situation on compact spaces and $\mathbb{C}^n$. In both cases the eigenvalue is a regular value of the operator symbol. We then use the link between pseudodifferential and Berezin-Toeplitz operators to obtain an $L^p$ bound of the FBI transform of quasimodes of pseudodifferential operators.

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Nathan Réguer. 2025-04-09. Semiclassical concentration estimates for Berezin-Toeplitz quasimodes for regular energies. https://arxiv.org/abs/2504.06648

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