Asymptotics for Toeplitz operators with symbol an indicator function

Razvan Apredoaei

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arXiv · 2606.24503

Asymptotics for Toeplitz operators with symbol an indicator function

Razvan Apredoaei

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Abstract

We prove an off-diagonal expansion of the kernel of the Toeplitz operator whose symbol is the indicator function of a compact domain with smooth boundary in a complete symplectic manifold of bounded geometry. Using our approach, we extend two results to the non-compact setting: the first concerns the asymptotics of the trace of polynomials in this operator, and the second establishes a Weyl law for this Toeplitz operator.

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Razvan Apredoaei. 2026-06-23. Asymptotics for Toeplitz operators with symbol an indicator function. https://arxiv.org/abs/2606.24503

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