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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)
DOI: https://doi.org/10.1090/memo/0856
MathSciNet review: 2214130
MSC: Primary 47A57; Secondary 30E05, 46E22, 47N70
Table of Contents
Chapters
- 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