Potentials on a Compact Riemann Surface


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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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