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Faddeev-Marchenko scattering for CMV matrices and the Strong Szego Theorem
L. Golinskii, A. Kheifets, F. Peherstorfer +1
B. Simon proved the existence of the wave operators for the CMV matrices with Szego class Verblunsky coefficients, and therefore the existence of the scattering function. Generally…
Rational interpolation and mixed inverse spectral problem for finite CMV matrices
Leonid Golinskii, Mikhail Kudryavtsev
For finite dimensional CMV matrices the mixed inverse spectral problem of reconstruction the matrix by its submatrix and a part of its spectrum is considered. A general rational in…
An inverse spectral theory for finite CMV matrices
Leonid Golinskii, Mikhail Kudryavtsev
For finite dimensional CMV matrices the classical inverse spectral problems are considered. We solve the inverse problem of reconstructing a CMV matrix by its Weyl's function, the…
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…