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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

A. A. Laptev

Imperial College London
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MP4 114.2 Mb

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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.

Language: English
 
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