A Naimark Dilation Perspective of Nevanlinna-Pick Interpolation

  title={A Naimark Dilation Perspective of Nevanlinna-Pick Interpolation},
  author={Arthur E. Frazho and Marinus A. Kaashoek},
  journal={Integral Equations and Operator Theory},
  • 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. 

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