8 citations · 11 across the 5 of their papers we have counts for
5 papers
Scattering theory for CMV matrices: uniqueness, Helson--Szegő and Strong SzegŐ theorems
L. Golinskii, A. Kheifets, F. Peherstorfer +1
We develop a scattering theory for CMV matrices, similar to the Faddeev--Marchenko theory. A necessary and sufficient condition is obtained for the uniqueness of the solution of th…
Orthogonal polynomials on several intervals: accumulation points of recurrence coefficients and of zeros
Franz Peherstorfer
Let and set ${\boldmath$ω$}(\infty) =(ω_1(\infty),...,ω_{l-1}(\infty))$, where is the h…
Remark on the paper "Asymptotic behavior of polynomials orthonormal on a homogeneous set"
F. Peherstorfer, P. Yuditskii
Minor modifications are given to prove the Main Theorem under the Blaschke (instead of Carleson) condition as well as a small historical comment.
Limit periodic Jacobi matrices with a singular continuous spectrum and the renormalization of periodic matrices
F. Peherstorfer, A. Volberg, P. Yuditskii
Our main result asserts that a certain natural non-linear operator on Jacobi matrices built by a hyperbolic polynomial with real Julia set is a contraction in operator norm if the…
Asymptotics of orthogonal polynomials beyond the scope of Szego's theorem
F. Peherstorfer, A. Volberg, P. Yuditskii
First we give here a simple proof of a remarkable result of Videnskii and Shirokov: let be a Blaschke product with zeros, then there exists an outer function , s…