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A Sharp Lieb-Thirring Inequality for Functional Difference Operators (2109.05465v3)
Published 12 Sep 2021 in math.FA, math-ph, and math.MP
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.