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On boundary interpolation for matrix valued Schur functions

About this Title

Vladimir Bolotnikov and Harry Dym

Publication: Memoirs of the American Mathematical Society
Publication Year 2006: Volume 181, Number 856
ISBNs: 978-0-8218-4047-4 (print); 978-1-4704-0460-4 (online)
MathSciNet review: 2214130
MSC: Primary 47A57; Secondary 30E05, 46E22, 47N70

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Table of Contents


  • 1. Introduction
  • 2. Preliminaries
  • 3. Fundamental matrix inequalities
  • 4. On $\mathcal {H}(\Theta )$ spaces
  • 5. Parametrizations of all solutions
  • 6. The equality case
  • 7. Nontangential limits
  • 8. The Nevanlinna–Pick boundary problem
  • 9. A multiple analogue of the Carathéodory–Julia theorem
  • 10. On the solvability of a Stein equation
  • 11. Positive definite solutions of the Stein equation
  • 12. A Carathéodory-Fejér boundary problem
  • 13. The full matrix Carathéodory-Fejér boundary problem
  • 14. The lossless inverse scattering problem