Riemann problem on the double of a multiply connected circular region
Volume 67 / 1997
Annales Polonici Mathematici 67 (1997), 1-14
DOI: 10.4064/ap-67-1-1-14
Abstract
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.
