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Generalized automorphic functions

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Literature Cited

  1. I. N. Vekua, “Systems of first-order differential equations of elliptic type and boundary problems with applications to the theory of shells,” Matem. Sb.,31, No. 2, 217–314 (1952).

    Google Scholar 

  2. R. Nevanlinna, Uniformization [Russian translation], IL, Moscow (1955).

    Google Scholar 

  3. Yu. L. Rodin, “On eigenfunctions of one integral equation,” Dokl. Akad. Nauk SSSR,130, No. 1, 23–25 (1960).

    Google Scholar 

  4. Yu. L. Rodin, “Cauchy-type integrals and boundary problems for generalized analytic functions on closed Riemann surfaces”, Dokl. Akad. Nauk SSSR,142, No. 4, 798–800 (1961).

    Google Scholar 

  5. Yu. L. Rodin, “Algebraic theory of generalized analytic functions on closed Riemann surfaces,” Dokl. Akad. Nauk SSSR,142, No. 5, 1038–1040 (1962).

    Google Scholar 

  6. A. I. Serbin, “On Riemann's boundary problem for generalized analytic functions on closed Riemann surfaces,” Izv. Vyssh. Uch. Zavedenii, Matematika, No. 4, 120–129 (1964).

    Google Scholar 

  7. T. Carleman, “Sur la theorie des equations integrales et ses applicateurs,” Verhade des Internat. Mathem. Konger. Zurich,1 (1932).

  8. L. I. Chibrikova, “Riemann's boundary problem for automorpic functions in the case of groups with two invariants,” Izv. Vyssh. Uch. Zavedenii, Matematika, No. 6, 121–131 (1961); No. 3, 81–94 (1962).

    Google Scholar 

  9. L. R. Ford, Automorphic Functions [Russian translation], Moscow-Leningrad (1936).

  10. K. Weierstrass, “Vorlesungen uber die Theorie der Abelsch Transendenten, Mathematische Werke, Vol. 4, Berlin (1902).

  11. V. I. Pokazeev, “On one representation of generalized analytic automorphic functions,” Dokl. Akad. Nauk SSSP,155, No. 3, 528–531 (1964).

    Google Scholar 

  12. V. I. Pokazeev, “On the existence of functions undergoing linear substitutions under transformations of some Fuchsian group,” Theses of the results of the Scientific Conference at Kazansk State University. 1962, Izd. Kazansk Gos. Un-ta (1963), pp.6–11.

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 9, No. 4, pp. 880–890, July–August, 1968.

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Pokazeev, V.I. Generalized automorphic functions. Soviet Mathematical Journal 9, 653–660 (1968). https://doi.org/10.1007/BF02199101

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  • DOI: https://doi.org/10.1007/BF02199101

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