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• W2903584737 abstract "We provide asymptotic formulas for the Bergman projector and Berezin-Toeplitz operators on a compact K{a}hler manifold. These objects depend on an integer N and we study, in the limit N $rightarrow$ +$infty$, situations in which one can control them up to an error O(e^{-cN}) for some c > 0. We develop a calculus of Toeplitz operators with real-analytic symbols, which applies to K{a}hler man-ifolds with real-analytic metrics. In particular, we prove that the Bergman kernel is controlled up to O(e^{-cN}) on any real-analytic K{a}hler manifold as N $rightarrow$ +$infty$. We also prove that Toeplitz operators with analytic symbols can be composed and inverted up to O(e^{-cN}). As an application, we study eigenfunction concentration for Toeplitz operators if both the manifold and the symbol are real-analytic. In this case we prove exponential decay in the classically forbidden region." @default.
• W2903584737 created "2018-12-22" @default.
• W2903584737 creator A5056683084 @default.
• W2903584737 date "2018-12-18" @default.
• W2903584737 modified "2023-09-23" @default.
• W2903584737 title "Toeplitz operators with analytic symbols" @default.
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• W2903584737 hasPublicationYear "2018" @default.
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