J. Bazargan, I. Egorova, “Jacobi operator with step-like asymptotically periodic coefficients”, Mat. Fiz. Anal. Geom., 2003, Volume 10, Number 3,Pages <nobr>425

This article is cited in 7 papers

Jacobi operator with step-like asymptotically periodic coefficients

J. Bazargan^a, I. Egorova^b

^a Department of Mathematical Physics, V. N. Karazin Kharkov National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine
^b Mathematical Divizion, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine

Abstract: The direct/inverse scattering problem is considered for the Jacobi operator with different asymptotically periodic coefficients on the half axes. It is supposed that the backgrounds on the half-axes have the period 2 and the perturbation has the second finite moment. The problem is studied by means of the generalized Marchenko approach ([8], [2]).

MSC: 47B36, 47A40

Received: 15.06.2003

Language: English