Browsing Research Output by Author "7e491f45-20e4-4a76-a6bc-05ddcc016259"
Now showing items 1-6 of 6
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All solutions to an operator Nevanlinna-Pick interpolation problem
Frazho, A.E.; Ter Horst, S.; Kaashoek, M.A. (Springer, 2018)The main results presented in this paper provide a complete and explicit description of all solutions to the left tangential operator Nevanlinna– Pick interpolation problem assuming the associated Pick operator is strictly ... -
The Bezout-Corona problem revisited: Wiener space setting
Groenewald, G.J.; Ter Horst, S.; Kaashoek, M.A. (Springer, 2016)The matrix-valued Bezout-corona problem G(z)X(z)=Im, |z|<1, is studied in a Wiener space setting, that is, the given function G is an analytic matrix function on the unit disc whose Taylor coefficients are absolutely ... -
The Bézout equation on the right half-plane in a Wiener space setting
Groenewald, G.J.; Ter Horst, S.; Kaashoek, M.A. (Springer, 2017)This paper deals with the Bézout equation G(s)X(s)=Im,Rs≤0, in the Wiener space of analytic matrix-valued functions on the right halfplane. In particular, G is an m × p matrix-valued analytic Wiener function, where p ≥ m, ... -
The discrete twofold Ellis–Gohberg inverse problem
Ter Horst, S.; Kaashoek, M.A.; Van Schagen, F. (Elsevier, 2017)In this paper a twofold inverse problem for orthogonal matrix functions in the Wiener class is considered. The scalar-valued version of this problem was solved by Ellis and Gohberg in 1992. Under reasonable conditions, the ... -
The twofold Ellis-Gohberg inverse problem in an abstract setting and applications
Ter Horst, S.; Kaashoek, M.A.; Van Schagen, F. (Springer, 2019)In this paper we consider a twofold Ellis–Gohberg type inverse problem in an abstract *-algebraic setting. Under natural assumptions, necessary and sufficient conditions for the existence of a solution are obtained, and ... -
Wiener-Hopf indices of unitary functions on the unit circle in terms of realizations and related results on Toeplitz operators
Groenewald, G.J.; Ran, A.C.M.; Kaashoek, M.A. (Elsevier, 2017)We provide new formulas for the Wiener–Hopf factorization indices of a rational matrix function which has neither poles nor zeros on the unit circle. In addition, we recover recent results on the Fredholm characteristics ...