Jacobi operator with step-like asymptotically periodic coefficients

Анотація

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]).