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Seminar on analytic theory of differential equations
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A one-dimensional Riemann problem on an elliptic curve Matveeva A. |
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Abstract: In the talk we consider a one-dimensional generalization of the Riemann–Hilbert problem from the Riemann sphere to an elliptic curve and give a criterion of its positive solvability and explicit formulae for solutions. As in the case of the Riemann sphere, the constructed solutions turn out to be isomonodromic. |
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