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Piecewise-continuous Riemann boundary-value problem on a rectifiable curve

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Abstract

We extend classes of closed rectifiable Jordan curves and given functions in the theory of the piecewise-continuous Riemann boundary-value problem and the characteristic singular integral equation with Cauchy kernel related to this problem.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 5, pp. 616–628, May, 2006.

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Vasil’eva, Y.V., Plaksa, S.A. Piecewise-continuous Riemann boundary-value problem on a rectifiable curve. Ukr Math J 58, 694–708 (2006). https://doi.org/10.1007/s11253-006-0095-4

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  • DOI: https://doi.org/10.1007/s11253-006-0095-4

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