E. L. Korotyaev, A. Laptev, “Trace formulas for a discrete Schrödinger operator”, Funktsional. Anal. i Prilozhen., 2017, Volume 51, Issue 3,Pages <nobr>81

This article is cited in 3 papers

Brief communications

Trace formulas for a discrete Schrödinger operator

E. L. Korotyaev^a, A. Laptev^b

^a St. Petersburg State University, St. Petersburg, Russia
^b Imperial College London, London, UK

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.

Keywords: trace formula, complex potential, eigenvalues.

UDC: 517.9

Received: 13.10.2016

DOI: 10.4213/faa3459