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.
@article{bwmeta1.element.bwnjournal-article-apmv67z1p1bwm, author = {V. V. Mityushev}, title = {Riemann problem on the double of a multiply connected circular region}, journal = {Annales Polonici Mathematici}, volume = {66}, year = {1997}, pages = {1-14}, zbl = {0883.30030}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv67z1p1bwm} }
V. V. Mityushev. Riemann problem on the double of a multiply connected circular region. Annales Polonici Mathematici, Tome 66 (1997) pp. 1-14. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv67z1p1bwm/
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