We develop direct and inverse scattering theory for Jacobi operators which are short range
perturbations of quasi-periodic finite-gap operators. We show existence of transformation …

The direct and inverse scattering problems are studied for the perturbed Hill equation (â n-
1+ a n-1) y n-1+(b̂ n+ bn) y n+(â n+ an) y n+ 1= λy n, n∈ ℤ. The perturbation coefficients …

We develop direct and inverse scattering theory for Jacobi operators (doubly infinite second
order difference operators) with steplike coefficients which are asymptotically close to …

We develop direct and inverse scattering theory for Jacobi operators with a steplike quasi-
periodic finite-gap background in the same isospectral class. We derive the corresponding …

We develop direct and inverse scattering theory for Jacobi operators with steplike
coefficients which are asymptotically close to different finite-gap quasi-periodic coefficients …

Direct and inverse scattering problems for the perturbed Hill difference equation Page 1
Sbornik: Mathematics 196:10 1529–1552 c 2005 RAS(DoM) and LMS Matematicheskiı …

Набор величин {S (λ), μk, mk, k= 1, 2,…, p} наа зовем данными рассеяния для
операторов L0 и L. Под обратной задачей рассеяния для этой пары будем понимать …

In this thesis we develop direct and inverse scattering theory for Jacobi operators which are
short range perturbations of quasi-periodic finite-gap operators. We show existence of …

In this note, we study the discrete spectrum of the Jacobi matrix corresponding to
polynomials defined by recurrence relations with periodic coefficients. As examples, we …

In this note we investigate the discrete spectrum of Jacobi matrix corresponding to
polynomials defined by recurrence relations with periodic coefficients. As examples we …