Geodesic
Riemann problem on the double of a multiply connected circular region
Annales Polonici Mathematici, Tome 67 (1997) no. 1, pp. 1-14.

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The Riemann problem has been solved in [9] for an arbitrary closed Riemann surface in terms of the principal functionals. This paper is devoted to solution of the problem only for the double of a multiply connected region and can be treated as complementary to [9,1]. We obtain a complete solution of the Riemann problem in that particular case. The solution is given in analytic form by a Poincaré series.
DOI : 10.4064/ap-67-1-1-14
Keywords: boundary value problems on Riemann surfaces, functional equation

V. Mityushev 1

1 
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V. Mityushev. Riemann problem on the double of a multiply connected circular region. Annales Polonici Mathematici, Tome 67 (1997) no. 1, pp. 1-14. doi : 10.4064/ap-67-1-1-14. http://geodesic.mathdoc.fr/articles/10.4064/ap-67-1-1-14/

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