26 citations · 90 across the 32 of their papers we have counts for
35 papers
Interpolation in multivariable de Branges-Rovnyak spaces
Joseph A. Ball, Vladimir Bolotnikov, Sanne ter Horst
We study a general metric constrained interpolation problem in a de Branges-Rovnyak space associated with a contractive multiplier between two Fock spaces al…
Cyclic matrices and polynomial interpolation over division rings
Vladimir Bolotnikov
As is well known, any complex cyclic matrix is similar to the unique companion matrix associated with the minimal polynomial of . On the other hand, a cyclic matrix over a d…
Lagrange interpolation over division rings
Vladimir Bolotnikov
For a division ring , the polynomials can be evaluated "on the left" and "on the right" giving rise to left and right Lagrange interpolation problems. Th…
Finite Blaschke products over quaternions: unitary realizations and zero structure
Vladimir Bolotnikov
We consider power series over the skew field of real quaternions which are analogous to finite Blaschke products in the classical complex setting. Several intrinsic cha…
Hardy-space function theory, operator model theory, and dissipative linear systems: the multivariable, free-noncommutative, weighted Bergman-space setting
Joseph A. Ball, Vladimir Bolotnikov
It is known that (i) a subspace of the Hardy space which is invariant under the backward shift operator can be represented as the range of the observability op…
Abstract interpolation in vector-valued de Branges-Rovnyak spaces
Joseph A. Ball, Vladimir Bolotnikov, Sanne ter Horst
Following ideas from the Abstract Interpolation Problem of Katsnelson et al. (Operators in spaces of functions and problems in function theory, vol 146, pp 83-69, Naukova Dumka, Ke…