5 citations · 23 across the 17 of their papers we have counts for
7 papers · 1 filter
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…
CMV matrices with asymptotically constant coefficients. Szegö over Blaschke class, Scattering Theory
F. Peherstorfer, A. Volberg, P. Yuditskii
We develop a modern extended scattering theory for CMV matrices with asymptotically constant Verblunsky coefficients. We demonstrate that an orthonormal system in a certain "weight…
On Scattering for CMV Matrices
A. Kheifets, F. Peherstorfer, P. Yuditskii
Adamjan-Arov (Lax--Phillips) model space is considered as a scattering representation space for a CMV matrix in context of an extended Marchenko--Faddeev scattering theory. That is…
On a new asymptotic problem in the scattering setting
F. Peherstorfer, A. Volberg, P. Yuditskii
In recent works we considered an asymptotic problem for orthogonal polynomials when a Szegö measure on the unit circumference is perturbed by an arbitrary Blaschke sequence of poin…
Limit periodic Jacobi matrices with a prescribed p-adic hull and a singularly continuous spectrum
F. Peherstorfer, A. Volberg, P. Yuditskii
In this work we build a certain machine that allows to construct almost periodic Jacobi matrices with singularly continuous spectrum a prescribed p-adic hull.
Remarks on a paper of Geronimo and Johnson
F. Peherstorfer, P. Yuditskii
We present a point of view on results of the paper of Geronimo and Johnson [Comm. Math, Phys. 193 (1998)] that allow infinitely dimensional generalization up to the case when spect…
On generalized sum rules for Jacobi matrices
F. Nazarov, F. Peherstorfer, A. Volberg +1
This work is in a stream initiated by a paper of Killip and Simon [Ann. of Math. (2003)]. Using methods of Functional Analysis and the classical Szegö Theorem we prove sum rule ide…