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arXiv · 2412.00612

A Szeg\H{o} Limit Theorem for Radially-Compressed Toeplitz Operators

Trevor Camper
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Abstract

We obtain Szeg\H{o}-type Limit Theorems in the setting of Reproducing Kernel Hilbert Spaces on discs in $\mathbb{C}$. From this, we derive a formula for the density of the eigenvalues of compressions of Toeplitz operators. Examples for the Bergman and Segal-Bargmann-Fock space are also presented.

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Trevor Camper. 2024-11-30. A Szeg\H{o} Limit Theorem for Radially-Compressed Toeplitz Operators. https://arxiv.org/abs/2412.00612

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