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Potentials on a compact Riemann surface

E. M. Chirka

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow



Abstract: The notions of logarithmic potential theory in the plane domains are generalized for domains on a compact Riemann surface. An approach with application of de Rham currents to Green functions, Dirichlet problem, Poisson kernel e.t.c. will be discussed.

Language: English


© Steklov Math. Inst. of RAS, 2024