43 citations · 194 across the 50 of their papers we have counts for
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On the Direct Cauchy Theorem in Widom Domains: Positive and Negative Examples
Peter Yuditskii
We discuss several questions which remained open in our joint work with M. Sodin "Almost periodic Jacobi matrices with homogeneous spectrum, infinite-dimensional Jacobi inversion,…
Polynomials of the best uniform approximation to sgn(x) on two intervals
Alexandre Eremenko, Peter Yuditskii
We describe polynomials of the best uniform approximation to sgn(x) on the union of two intervals in terms of special conformal mappings. This permits us to find the exact asymptot…
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…
The scattering problem in Ryckman's class of Jacobi matrices
L. Golinskii, A. Kheifets, P. Yuditskii
We give a complete solution of the scattering problem for Jacobi matrices from a class which was recently introduced by E. Ryckman. We characterize the scattering data for this cla…
On Complex (non analytic) Chebyshev Polynomials in
I. Moale, P. Yuditskii
We consider the problem of finding a best uniform approximation to the standard monomial on the unit ball in by polynomials of lower degree with complex coefficients. We r…