Characteristic Function, Schur Interpolation Problem and Darlington Synthesis
Complex Variables
2023-12-29 v1
Abstract
In this paper we would like to show the interrelation between the different mathematical theories concerning the Schur interpolation problem, contractions in Hilbert spaces, pseudocontinuation and Darlington synthesis. The main objects of this article are contractive functions holomorphic in the unit disc (Schur functions). Here they are considered, on the one hand, as characteristic functions of contractions in Hilbert spaces and, on the other hand, as transfer functions of open systems.
Cite
@article{arxiv.2312.17177,
title = {Characteristic Function, Schur Interpolation Problem and Darlington Synthesis},
author = {Sergey S. Boiko and Vladimir K. Dubovoy and Bernd Fritzsche and Bernd Kirstein and Conrad Mädler and Karsten Müller},
journal= {arXiv preprint arXiv:2312.17177},
year = {2023}
}