# 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/http://dx.doi.org/10.1090/surv/193

MathSciNet review: 3154724

MSC: Primary 31C15; Secondary 11G30, 14G05, 14G40

### Table of Contents

**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