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Boundary value problem of Schottky on a closed Riemann surface in spaces of generalized functions and differentials

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Literature cited

  1. D. J. Springer, Introduction to the Theory of Riemann Surfaces, Addison-Wesley, New York (1957).

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

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  3. V. S. Rogozhin, “Boundary value problems in spaces of generalized functions,” Sibirsk. Matem. Zh.,11, No. 5 (1961).

  4. E. I. Zverovich, “Boundary value problem in the theory of analytic functions in Holder classes of Riemann surfaces,” Usp. Matem. Nauk,26, No. 1, 157 (1971).

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  5. F. D. Gakhov, Boundary Value Problems [in Russian], Fizmatgiz, Moscow (1963).

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Authors and Affiliations

  1. Odessa State University, USSR

    S. A. Yatsenko

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  1. S. A. Yatsenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 23, No. 6, pp. 852–855, November–December, 1971.

The author is grateful to G. S. Litvinchuk and E. I. Zverovich for useful discussions of this topic.

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Yatsenko, S.A. Boundary value problem of Schottky on a closed Riemann surface in spaces of generalized functions and differentials. Ukr Math J 23, 702–705 (1971). https://doi.org/10.1007/BF01085103

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  • DOI: https://doi.org/10.1007/BF01085103

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