Showing papers by "Juliette Leblond published in 2022"
27 Apr 2022
TL;DR: In this paper , the authors studied the discrete spectrum of certain bounded Toeplitz operators with harmonic symbol on a Bergman space and obtained a quantitative result on the distribution of the spectrum of the operator in the unbounded (outer) component of its Fredholm set.
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.