A Semi-Classical Szeg\H{o}-type Limit Theorem for Toeplitz Operators

Trevor Camper; Mishko Mitkovski

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arXiv · 2411.19298

A Semi-Classical Szeg\H{o}-type Limit Theorem for Toeplitz Operators

Trevor Camper·Mishko Mitkovski

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Abstract

We obtain Szeg\H o-type limit theorems for Toeplitz operators on the weighted Bergman spaces $A^{2}_{\alpha}(\mathbb{B}^{n})$, and on $L^{2}(G)$, presenting separate formulations for compact and locally compact Abelian groups. Furthermore, we establish a broad class of abstract Szeg\H{o} limit theorems that unify and extend many classical results.

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Trevor Camper, Mishko Mitkovski. 2024-11-28. A Semi-Classical Szeg\H{o}-type Limit Theorem for Toeplitz Operators. https://arxiv.org/abs/2411.19298

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