4 papers
Scattering Theory for Jacobi Operators with Quasi-Periodic Background
Iryna Egorova, Johanna Michor, Gerald Teschl
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 discrete spectrum for complex perturbations of periodic Jacobi matrices
I. Egorova, L. Golinskii
We study spectrum inclusion regions for complex Jacobi matrices which are compact perturbations of real periodic Jacobi matrices. The condition sufficient for the lack of discrete…
On limit sets for the discrete spectrum of complex Jacobi matrices
I. Egorova, L. Golinskii
The discrete spectrum of complex Jacobi matrices that are compact perturbations of the discrete laplacian is under consideration. The rate of stabilization for the the matrix entri…
On location of discrete spectrum for complex Jacobi matrices
I. Egorova, L. Golinskii
We study spectrum inclusion regions for complex Jacobi matrices which are compact perturbations of the discrete laplacian. The condition sufficient for the lack of discrete spectru…