On the characterization of a Riemann surface by its semigroup of endomorphisms

@inproceedings{Eremenko1993OnTC,
  title={On the characterization of a Riemann surface by its semigroup of endomorphisms},
  author={Alexandre Eremenko},
  year={1993}
}
  • Alexandre Eremenko
  • Published 1993
  • Mathematics
  • Suppose D 1 and D 2 be Riemann surfaces which have bounded nonconstant holomorphic functions. Denote by E(D i ), i = 1, 2, the semi-groups of all holomorphic endomorphisms. If φ: E(D 1 )→E(D 2 ) is an isomorphism of semigroups then there exists a conformal or anticonformal isomorphism ψ: D 1 →D 2 such that φ is the conjugation by ψ. Also the semigroup of injective endomorphisms as well as some parabolic surfaces are considered 

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    References

    Publications referenced by this paper.
    SHOWING 1-5 OF 5 REFERENCES

    Selected topics in classical theory of functions of a complex

    • M. Heins
    • 1962
    VIEW 1 EXCERPT

    On rings of analytic functions

    VIEW 1 EXCERPT