Trace formulas for a discrete Schrödinger operator

E. L. Korotyaev, Ari Laptev

Research output

Abstract

The Schrödinger operator with complex decaying potential on a lattice is considered. Trace formulas are derived on the basis of classical results of complex analysis. These formulas are applied to obtain global estimates of all zeros of the Fredholm determinant in terms of the potential.

Original languageEnglish
Pages (from-to)225-229
Number of pages5
JournalFunctional Analysis and its Applications
Volume51
Issue number3
DOIs
Publication statusPublished - 1 Jul 2017

Scopus subject areas

  • Analysis
  • Applied Mathematics

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