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Introduction to the functions on compact Riemann surfaces and theta-functions

1999/11/02 by D. Korotkin
Physics and Astronomy · #solv-int #nlin.SI

paper · pdf

published as "Nonlinearity and Geometry", ed. by D.Wojcik and J.Cieslinski, Polish Scient. Publ. PWN p. p.109-139 · 31 pages, lectures given at "First non-orthodox school on Non-linearity and geometry", sept 21-28, 1995, Warsaw

arxiv created 1999/11/02 · arxiv updated 2009/11/30

Abstract

We collect some classical results related to analysis on the Riemann surfaces. The notes may serve as an introduction to the field: we suppose that the reader is familiar only with the basic facts from topology and complex analysis. the treatment is organized to give a background for further applications to non-linear differential equations.

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