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On the Discrete Spectrum of a One-Dimensional Discrete Schrödinger Operator with a Perturbation of Rank One

F. A. MadatovaNational University of Uzbekistan, 100174, Tashkent, UzbekistanM. Q. QazibekovJizzakh State Pedagogical University, 130100, Jizzakh, Uzbekistan
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Abstract

We study a Schrödinger operator defined on a one-dimensional lattice with two delta potentials. Behaviors of eigenvalues, threshold eigenvalues and threshold resonances as well as their dependence on the parameters of the operator are explicitly derived.

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