On discrete spectra of Bergman--Toeplitz operators with harmonic symbols
Spectral Theory
2022-04-28 v1 Complex Variables
Abstract
In the present article, we study the discrete spectrum of certain bounded Toeplitz operators with harmonic symbol on a Bergman space. Using the methods of classical perturbaton theory and recent results by Borichev-Golinskii-Kupin and Favorov-Golinskii, we obtain a quantitative result on the distribution of the discrete spectrum of the operator in the unbounded (outer) component of its Fredholm set.
Keywords
Cite
@article{arxiv.2204.12888,
title = {On discrete spectra of Bergman--Toeplitz operators with harmonic symbols},
author = {Leonid Golinskii and Stanislas Kupin and Juliette Leblond and Masimba Nemaire},
journal= {arXiv preprint arXiv:2204.12888},
year = {2022}
}
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