Geodesic
A Sharp Lieb–Thirring Inequality for Functional Difference Operators
Symmetry, integrability and geometry: methods and applications, Tome 17 (2021)

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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.
Keywords: Lieb–Thirring inequality, functional difference operator, semigroup property. 
Ari Laptev; Lukas Schimmer. A Sharp Lieb–Thirring Inequality for Functional Difference Operators. Symmetry, integrability and geometry: methods and applications, Tome 17 (2021). http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a104/
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     title = {A {Sharp} {Lieb{\textendash}Thirring} {Inequality} for {Functional} {Difference} {Operators}},
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