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A sharp Lieb-Thirring inequality for functional difference operators

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.

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Bibliographic Details
Main Authors:	Ari Laptev, Lukas Schimmer
Format:	Default Article
Published:	2021
Subjects:	Applied mathematics Mathematical physics Pure mathematics Lieb-Thirring inequality functional difference operator semigroup property Science & Technology Physical Sciences Physics, Mathematical Physics
Online Access:	https://hdl.handle.net/2134/24591990.v1
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