Abstract
Let Γ be image of interval (0, 1) under one-to-one continuous mapping φ: (0, 1) → C. If closure of Γ differs from the set Γ bymore than two points, then we call Γ the contour with elongate singularities.
We study boundary-value jump problems for analytical functions on that contours, and obtain new criteria for their solvability.
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Original Russian Text © B.A. Kats, S.R. Mironova, A.Yu. Pogodina, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 1, pp. 12–16.
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Kats, B.A., Mironova, S.R. & Pogodina, A.Y. Jump boundary-value problem on a contour with elongate singularities. Russ Math. 61, 10–13 (2017). https://doi.org/10.3103/S1066369X17010029
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DOI: https://doi.org/10.3103/S1066369X17010029