Potentials on a Compact Riemann Surface
- Authors: Chirka E.M.1
-
Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 301, No 1 (2018)
- Pages: 272-303
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175596
- DOI: https://doi.org/10.1134/S0081543818040211
- ID: 175596
Cite item
Abstract
Fundamental concepts of potential theory on compact Riemann surfaces are defined that generalize the corresponding concepts of logarithmic potential theory on the complex plane. The standard properties of these quantities are proved, and relationships between them are established.
About the authors
E. M. Chirka
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: chirka@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
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