15 citations · 20 across the 8 of their papers we have counts for
8 papers
A new systems theory perspective on canonical Wiener-Hopf factorization on the unit circle
Sanne ter Horst, Mikael Kurula, André Ran
We establish left and right canonical factorizations of Hilbert-space operator-valued functions G(z) that are analytic on neighborhoods of the complex unit circle and the origin 0,…
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…
Equivalence after extension and Schur coupling for relatively regular operators
S. ter Horst, M. Messerschmidt, A. C. M. Ran
It was recently shown in [24] that the Banach space operator relations Equivalence After Extension (EAE) and Schur Coupling (SC) do not coincide by characterizing these relations f…
A Toeplitz-like operator with rational symbol having poles on the unit circle I: Fredholm properties
G. J. Groenewald, S. ter Horst, J. Jaftha +1
In this paper a definition is given for an unbounded Toeplitz-like operator with rational symbol which has poles on the unit circle. It is shown that the operator is Fredholm if an…
Graphs with sparsity order at most two: The complex case
S. ter Horst, E. M. Klem
The sparsity order of a (simple undirected) graph is the highest possible rank (over or ) of the extremal elements in the matrix cone that consists of po…
The Bezout equation on the right half plane in a Wiener space setting
G. J. Groenewald, S. ter Horst, M. A. Kaashoek
This paper deals with the Bezout equation , , in the Wiener space of analytic matrix-valued functions on the right half plane. In particular, is an…