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Two sheeted discs and bounded analytic functions

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References

  1. S. Fisher,Function Theory of Planar Domains, Wiley, New York, 1983.

    Google Scholar 

  2. F. Forelli,A note on divisibility in H (X), Canad. J. Math.38 (1984), 458–469.

    MathSciNet  Google Scholar 

  3. J. Garnett,Bounded, Analytic Functions, Academic Press, New York, 1981.

    MATH  Google Scholar 

  4. M. Hayashi and M. Nakai,Point separation by bounded analytic functions of a covering Riemann surface, Pacifie J. Math.134 (1988), 261–273.

    MATH  MathSciNet  Google Scholar 

  5. M. Hayashi and M. Nakai,On the Myrberg type phenomenon, inAnalytic Function, Theory of One Complex Variable, C. C. Yang, Y. Komatu and K. Niino, eds., Pitman Research Notes in Mathematics Series, Vol. 212, Longman Scientific, & Technical, 1989, pp. 1–12.

  6. M. Hayashi, M. Nakai and S. Segawa,Bounded analytic functions on two sheeted discs, Trans. Amer. Math. Soc.333 (1992), 799–819.

    Article  MATH  MathSciNet  Google Scholar 

  7. P. J. Myrberg,Über die Analytische Fortsetzung von beschränkten Funktionen, Ann. Acad. Sci. Fenn., Ser. A58 (1949), 1–7.

    Google Scholar 

  8. H. L. Royden,Algebras of bounded analytic functions on Riemann surfaces, Acta Math.114 (1965), 113–142.

    Article  MATH  MathSciNet  Google Scholar 

  9. L. Sario and M. Nakai,Classification Theory of Riemann Surfaces, Springer-Verlag, Berlin, 1970.

    MATH  Google Scholar 

  10. S. Segawa,Bounded analytic functions on unbounded covering surfaces, Pacific J. Math.,79 (1978), 183–187.

    MathSciNet  Google Scholar 

  11. H. L. Selberg,Ein Satz über beschränkte endlichvieldeutige analytische Funktionen, Comm. Math. Helv.9 (1937), 104–108.

    Article  MATH  MathSciNet  Google Scholar 

  12. C. M. Stanton,Bounded analytic functions on a class of Riemann surfaces, Pacific J. Math.59 (1975), 557–565.

    MATH  MathSciNet  Google Scholar 

  13. M. Tsuji,Potential Theory in Modern Function Theory, Chelsea, 1975.

  14. Y. Yamamura,On the existence of bounded analytic functions, Sci. Rep. Tokyo Kyoiku Daigaku, Sect. A10 (1969), 88–102.

    MATH  MathSciNet  Google Scholar 

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To the memory of Professor Kôtaro Oikawa

This work was partly supported by Grant-in-Aid for Scientific Research, No. 01540120, 02640043, 03640042, Japanese Ministry of Education, Science and Culture.

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Hayashi, M., Nakai, M. & Segawa, S. Two sheeted discs and bounded analytic functions. J. Anal. Math. 61, 293–325 (1993). https://doi.org/10.1007/BF02788846

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  • DOI: https://doi.org/10.1007/BF02788846

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