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A Szegő Limit Theorem for Radially-Compressed Toeplitz Operators

Published 30 Nov 2024 in math.FA | (2412.00612v1)

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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Authors (1)

  1. Trevor Camper 

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