Corpus ID: 237494719

A sharp Lieb--Thirring inequality for functional difference operators

  title={A sharp Lieb--Thirring inequality for functional difference operators},
  author={A. Laptev and L. Schimmer},
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. To our friend and coauthor Leon Takhtajan on the occasion of his 70th birthday 


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