4 citations · 10 across the 12 of their papers we have counts for
12 papers
Martin Functions of Fuchsian Groups and Character Automorphic Subspaces of the Hardy Space in the Upper Half Plane
A. Kheifets, P. Yuditskii
We establish exact conditions for non triviality of all subspaces of the standard Hardy space in the upper half plane, that consist of character automorphic functions with respect…
Abstract Interpolation Problem and Some Applications. II: Coefficient Matrices
A. Kheifets
The main content of this paper is Lectures 5 and 6 that continue lecture notes [20]. Content of Lectures 1-4 of [20] is reviewed for the reader's convenience in sections 1-4, respe…
On special cases of Radon - Nikodym theorem for vector and operator valued measures
S. S. Boiko, V. K. Dubovoy, A. Y. Kheifets
We present a natural and simple proof of the Radon - Nikodym theorem for measures with values in the space of bounded linear operators on a separable Hilbert space. This space is n…
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 inverse commutant lifting problem: characterization of associated Redheffer linear-fractional maps
Joseph A. Ball, Alexander Kheifets
It is known that the set of all solutions of a commutant lifting and other interpolation problems admits a Redheffer linear-fractional parametrization. The method of unitary coupli…
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…