26 citations · 26 across the 4 of their papers we have counts for
8 papers · 1 filter
Boundary rigidity for some classes of meromorphic functions
Vladimir Bolotnikov
Sufficient boundary asymptotic conditions are established for a generalized Schur function to be identically equal to a given rational function unimodular on the unit circl…
On degenerate Hamburger moment problem and extensions of positive semidefinite Hankel block matrices
Vladimir Bolotnikov
In this paper we consider two related objects: singular positive semidefinite Hankel block--matrices and associated degenerate truncated matrix Hamburger moment problems. The descr…
The higher order Carathéodory--Julia theorem and related boundary interpolation problems
Vladimir Bolotnikov, Alexander Kheifets
The higher order analogue of the classical Carathéodory-Julia theorem on boundary angular derivatives has been obtained in \cite{bk3}. Here we study boundary interpolation problems…
Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations
Joseph A. Ball, Vladimir Bolotnikov, Quanlei Fang
An interesting and recently much studied generalization of the classical Schur class is the class of contractive operator-valued multipliers for the reproducing kernel Hilbert…
Transfer-function realization for multipliers of the Arveson space
Joseph A. Ball, Vladimir Bolotnikov, Quanlei Fang
An interesting and recently much studied generalization of the classical Schur class is the class of contractive operator-valued multipliers for the reproducing kernel Hilbert spac…
Schur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations
Joseph A. Ball, Vladimir Bolotnikov, Quanlei Fang
We introduce and study a Fock-space noncommutative analogue of reproducing kernel Hilbert spaces of de Branges-Rovnyak type. Results include: use of the de Branges-Rovnyak space ${…