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Function Theory: Interpolation and Corona Problems
About this Title
Eric T. Sawyer, McMaster University, Hamilton, ON, Canada
Publication: Fields Institute Monographs
Publication Year:
2009; Volume 25
ISBNs: 978-0-8218-4734-3 (print); 978-1-4704-1788-8 (online)
DOI: https://doi.org/10.1090/fim/025
MathSciNet review: MR2476953
MSC: Primary 30H80; Secondary 30E05, 30H10, 32A37, 42B30, 46E20, 46J15, 47B35
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Preliminaries
- Chapter 2. The interpolation problem
- Chapter 3. The corona problem
- Chapter 4. Toeplitz and Hankel operators
- Chapter 5. Hilbert function spaces and Nevanlinna-Pick kernels
- Chapter 6. Carleson measures for the Hardy-Sobolev spaces
- Appendix A. Functional analysis
- Appendix B. Weak derivatives and Sobolev spaces
- Appendix C. Function theory on the disk
- Appendix D. Spectral theory for normal operators