A Szeg\H{o} Limit Theorem for Radially-Compressed Toeplitz Operators
Functional Analysis
2024-12-03 v1
Abstract
We obtain Szeg\H{o}-type Limit Theorems in the setting of Reproducing Kernel Hilbert Spaces on discs in . 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.
Cite
@article{arxiv.2412.00612,
title = {A Szeg\H{o} Limit Theorem for Radially-Compressed Toeplitz Operators},
author = {Trevor Camper},
journal= {arXiv preprint arXiv:2412.00612},
year = {2024}
}
Comments
8 pages