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Capacity Theory with Local Rationality: The Strong Fekete-Szegö Theorem on Curves
About this Title
Robert Rumely, University of Georgia, Athens, GA
Publication: Mathematical Surveys and Monographs
Publication Year:
2013; Volume 193
ISBNs: 978-1-4704-0980-7 (print); 978-1-4704-1446-7 (online)
DOI: https://doi.org/10.1090/surv/193
MathSciNet review: 3154724
MSC: Primary 31C15; Secondary 11G30, 14G05, 14G40
Table of Contents
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Front/Back Matter
Chapters
- 1. Variants
- 2. Examples and applications
- 3. Preliminaries
- 4. Reductions
- 5. Initial approximating functions: Archimedean case
- 6. Initial approximating functions: Nonarchimedean case
- 7. The global patching construction
- 8. Local patching when $K_v \cong \mathbb {C}$
- 9. Local patching when $K_v \cong \mathbb {R}$
- 10. Local patching for nonarchimedean RL-domains
- 11. Local patching for nonarchimedean $K_v$-simple sets
- Appendix A. $(\mathfrak {X},\vec {s})$-Potential theory
- Appendix B. The construction of oscillating pseudopolynomials
- Appendix C. The universal function
- Appendix D. The local action of the Jacobian