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$J$ Contractive Matrix Functions, Reproducing Kernel Hilbert Spaces and Interpolation

About this Title

Harry Dym

Publication: CBMS Regional Conference Series in Mathematics
Publication Year: 1989; Volume 71
ISBNs: 978-0-8218-0722-4 (print); 978-1-4704-2431-2 (online)
DOI: https://doi.org/10.1090/cbms/071
MathSciNet review: MR1004239
MSC: Primary 47-02; Secondary 30E05, 42A82, 46E20, 47A56, 47B50

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Table of Contents

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Front/Back Matter

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Chapters

• 0. Notation and Preliminaries
• 1. $J$ Inner Functions
• 2. Reproducing Kernel Hilbert Spaces
• 3. Linear Fractional Transformations, Matrix Balls and More on Admissibility
• 4. More on $\mathcal {H}(U)$ Spaces
• 5. The Nevanlinna-Pick Problem
• 6. Carathéodory-Fejér Interpolation
• 7. Singular Pick Matrices
• 8. The Lossless Inverse Scattering Problem
• 9. Nehari Interpolation
• 10. A Matrix Interpolation Problem
• 11. Maximum Entropy
• 13. Appendix on Positive Semidefinite Matrices