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Hilbert boundary value problem on a Riemann surface with boundary in the class of generalized functions and differentials

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Literature cited

  1. E. I. Zverovich, Theory of Two-Element Boundary Value Problems on Riemann Surfaces and Its Application [in Russian], Author's Summary of the Doctoral Dissertation, Minsk (1972).

  2. M. Schiffer and D. K. Spencer, Functionals on Finite Riemann Surfaces [Russian translation], IL, Moscow (1957).

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  3. S. A. Yatsenko, “Riemann boundary value problem in spaces of generalized functions and differentials on a closed Riemann surface,” Boundary Value Problems of Mathematical Physics [in Russian], Institute of Mathematics, Academy of Sciences of the UkrSSR, Kiev (1972).

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  4. E. I. Zverovich, “Boundary value problems of the theory of analytic functions in Holder classes on Riemann surfaces,” Usp. Matem. Nauk,24, No. 1 (157) (1971).

  5. W. Koppelman, “Singular integral equations, boundary value problem and the Riemann—Roche theorem,” J. of Math, and Mech.,10, No. 2, 247–277 (1961).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 2, pp. 279–282, March–April, 1974.

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Yatsenko, S.A. Hilbert boundary value problem on a Riemann surface with boundary in the class of generalized functions and differentials. Ukr Math J 26, 236–238 (1974). https://doi.org/10.1007/BF01085730

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