10 citations · 13 across the 6 of their papers we have counts for
7 papers
Operators without eigenvalues in finite-dimensional vector spaces: Linearization and Spectral Equivalence
Branko Ćurgus, Aad Dijksma
In this paper is a closed symmetric linear relation in a Krein space with adjoint , finite and equal defect numbers , and a boundary mapping $\mathsf{b}:…
A proof of the main theorem on Bezoutians
Branko Ćurgus, Aad Dijksma
We give a self-contained proof that the nullity of the Bezoutian matrix associated with a pair of polynomials and equals the number of their common zeros counting multiplic…
On the reproducing kernel of a Pontryagin space of vector valued polynomials
Branko Ćurgus, Aad Dijksma
We give necessary and sufficient conditions under which the reproducing kernel of a Pontryagin space of vector polynomials is determined by a generalized Nevanlinna pa…
The Schur transformation for Nevanlinna functions: operator representations, resolvent matrices, and orthogonal polynomials
D. Alpay, A. Dijksma, H. Langer
A Nevanlinna function is a function which is analytic in the open upper half plane and has a non-negative imaginary part there. In this paper we study a fractional linear transform…
Schur multipliers and de Branges-Rovnyak spaces: the multiscale case
Daniel Alpay, Aad Dijksma, Dan Volok
We consider bounded linear operators acting on the space indexed by the nodes of a homogeneous tree. Using the Cuntz relations between the primitive shifts on the tree, we…
Notes on interpolation in the generalized Schur class. II. Nudel'man's problem
D. Alpay, T. Constantinescu, A. Dijksma +1
An indefinite generalization of Nudel'man's problem is used in a systematic approach to interpolation theorems for generalized Schur and Nevanlinna functions with interior and boun…