Abstract
An integral representation of an analytic function in a ring with corresponding limit values on the boundary is obtained. A new singular integral equation is suggested and solved in quadratures by using an integral representation and by complete investigation of the Cárleman problem for a ring (in the normal case).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 3, pp. 322–329, March, 1995.
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Kerekesha, P.V., Cherskii, Y.I. Integral representation of an analytic function in a ring and its applications. Ukr Math J 47, 376–384 (1995). https://doi.org/10.1007/BF01056299
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DOI: https://doi.org/10.1007/BF01056299