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Complex Proofs of Real Theorems
About this Title
Peter D. Lax, Courant Institute, New York, NY and Lawrence Zalcman, Bar-Ilan University, Ramat Gan, Israel
Publication: University Lecture Series
Publication Year:
2012; Volume 58
ISBNs: 978-0-8218-7559-9 (print); 978-0-8218-8489-8 (online)
DOI: https://doi.org/10.1090/ulect/058
MathSciNet review: MR2827550
MSC: Primary 30-02; Secondary 11-02, 26-02, 46-01
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Early triumphs
- Chapter 2. Approximation
- Chapter 3. Operator theory
- Chapter 4. Harmonic analysis
- Chapter 5. Banach algebras: The Gleason-Kahane-Żelazko theorem
- Chapter 6. Complex dynamics: The Fatou-Julia-Baker theorem
- Chapter 7. The prime number theorem
- Coda: Transonic airfoils and SLE
- Appendix A. Liouville’s theorem in Banach spaces
- Appendix B. The Borel-Carathéodory inequality
- Appendix C. Phragmén-Lindelöf theorems
- Appendix D. Normal families