activity
20082025
most citedMultivariable operator-valued Nevanlinna-Pick interpolation: a survey

7 citations · 7 across the 5 of their papers we have counts for

collaborators

5 papers

math.FA2025

Canonical Wiener-Hopf factorization on the unit circle: matching subspaces versus Riccati equations

Sanne ter Horst, Mikael Kurula, Andre Ran

Wiener-Hopf factorization is an important tool in the study of block Toeplitz and block Wiener-Hopf operators, and many applications involving these operators. In this paper we com…

math.FA2024

Optimal interpolation in Hardy and Bergman spaces: a reproducing kernel Banach space approach

Gilbert J. Groenewald, Sanne ter Horst, Hugo J. Woerdeman

After a review of the reproducing kernel Banach space framework and semi-inner products, we apply the techniques to the setting of Hardy spaces and Bergman spaces , $1<p…

math.FA2024

Indefinite determinantal representations versus nonsingularities on the noncommutative d-torus

Gilbert J. Groenewald, Sanne ter Horst, Hugo J. Woerdeman

We show that for a multivariable polynomial with a determinantal representation the matrix $…

math.OC2020

Realization theory for poset-causal systems: Controllability, observability and duality

Sanne ter Horst, Jaccie Zeelie

Poset-causal systems form a class of decentralized systems introduced by Shah and Parrilo [32] and studied mainly in the context of optimal decentralized control. In this paper we…

math.FA2008★ 7 cited

Multivariable operator-valued Nevanlinna-Pick interpolation: a survey

J. A. Ball, S. ter Horst

The theory of Nevanlinna-Pick and Carathéodory-Fejér interpolation for matrix- and operator-valued Schur class functions on the unit disk is now well established. Recent work has p…