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arXiv · 2603.07693

Symbol calculus for semiclassical Gevrey operators

Haoren Xiong
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Abstract

We construct a Banach algebra of Gevrey asymptotic symbols that is stable under the semiclassical quantization product and elliptic inversion (microlocal parametrix), and derive sharp quantitative estimates for the coefficients of the full asymptotic inverse. As an application, we obtain exponential estimates for adiabatic projectors in the Gevrey setting.

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Haoren Xiong. 2026-03-08. Symbol calculus for semiclassical Gevrey operators. https://arxiv.org/abs/2603.07693

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