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Seminar on Complex Analysis (Gonchar Seminar)
January 20, 2014 18:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)
 


Smooth subharmonic extensions of Runge and Walsh types on open Riemann surfaces

P. V. Paramonov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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Abstract: In this report the results of recent joint work of A. Boivin (Canada), P.M. Gauthier (Canada) and P.V. Paramonov on the indicated topics are discussed. The Runge setting is studied completely for all smoothness parameters. For the Walsh setting several precise sufficient conditions for possibility of the extension are obtained.

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