A Naimark Dilation Perspective of Nevanlinna-Pick Interpolation

@article{Frazho2004AND,
  title={A Naimark Dilation Perspective of Nevanlinna-Pick Interpolation},
  author={Arthur E. Frazho and Marinus A. Kaashoek},
  journal={Integral Equations and Operator Theory},
  year={2004},
  volume={49},
  pages={323-378}
}
  • Arthur E. Frazho, Marinus A. Kaashoek
  • Published 2004
  • Mathematics
  • Abstract.In this paper a positive real tangential Nevanlinna-Pick interpolation problem with interpolation at operator points is solved. The Naimark dilation theorem together with the state space method from systems theory are used to obtain a parameterization for the set of all solutions. Explicit state space formulas are given for both the singular and non-ingular case. In the proofs the solution of an intermediate isometric extension problem plays an important role. 

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv