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arXiv · 2506.01610

Bernstein-Markov measures and Toeplitz theory

Siarhei Finski
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Abstract

We prove that Toeplitz operators associated with a Bernstein-Markov measure on a compact complex manifold endowed with a big line bundle form an algebra under composition. As an application, we derive a Szeg\H{o}-type spectral equidistribution result for this class of operators. A key component of our approach is the off-diagonal asymptotic analysis of the Bergman kernel, also known as the Christoffel-Darboux kernel.

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Siarhei Finski. 2025-06-02. Bernstein-Markov measures and Toeplitz theory. https://arxiv.org/abs/2506.01610

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