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The Schwarz problem for infinite sets of intervals

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Abstract

We solve the Schwarz problem for boundary contours consisting of countable sets of segments with limit point at infinity, including the periodic case. The solution is a result of a reduction to corresponding Riemann boundary-value problems.

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Correspondence to L. I. Vafina.

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Original Russian Text © L.I. Vafina, I.G. Salekhova, 2016, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, No. 2, pp. 10–17.

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Vafina, L.I., Salekhova, I.G. The Schwarz problem for infinite sets of intervals. Russ Math. 60, 7–13 (2016). https://doi.org/10.3103/S1066369X1602002X

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  • DOI: https://doi.org/10.3103/S1066369X1602002X

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