Friends in Partial Differential Equations May 26, 2024 14:30–15:10, St. Petersburg, St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, online
A sharp Lieb-Thirring inequality for functional difference operators
Abstract:
We prove sharp Lieb-Thirring type inequalities for the eigenvalues of a class of one-dimensional functional difference operators associated to mirror curves.
We furthermore prove that the bottom of the essential spectrum of these operators is a resonance state.