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Analytic self-mappings of Riemann surfaces

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References

  1. L. Ahlfors, Complex analysis, McGraw-Hill, New York, 1953.

    MATH  Google Scholar 

  2. L. Ahlfors and L. Sario, Riemann surfaces, Princeton Univ. Press, Princeton, 1960.

    MATH  Google Scholar 

  3. M. Heins, On Fuchsoid groups that contain parabolic transformations, Contributions to function theory, Tata Institute, Bombay, 1960.

    Google Scholar 

  4. H. Huber, über analytische Abbildungen von Ringgebieten in Ringgebiete,Compos. Math. 9 (1951), 161–168.

    MATH  MathSciNet  Google Scholar 

  5. H. Huber, über analytische Abbildungen Riemannscher FlÄchen in sich,Comment. Math. Heb. 27 (1953), 1–73.

    Article  MATH  MathSciNet  Google Scholar 

  6. J. A. Jenkins, Some results related to extremal length,Annals of Math. Studies no.30. Princeton Univ. Press, 1953.

  7. H. J. Landau and R. Osserman, On analytic mappings of Riemann surfaces,J. Anal. Math. 7 (1959-60), 249–279.

    Article  MathSciNet  Google Scholar 

  8. A. Marden and B. Rodin, Extremal and conjugate extremal distance on open Riemann surfaces,Acta Math. 115 (1966), 237–269.

    Article  MATH  MathSciNet  Google Scholar 

  9. M. Ohtsuka, On the behavior of an analytic function about an isolated boundary point,Nagoya Math. J. 4 (1952), 103–108.

    MATH  MathSciNet  Google Scholar 

  10. E. Reich, Elementary proof of a theorem on conformal rigidity,Proc. A.M.S.,17 (1966) 644–645.

    Article  MATH  Google Scholar 

  11. E. Reich and S. E. Warschawski, On canonical conformal maps of regions of arbitrary connectivity,Pac. J. Math. 10 (1960), 965–985.

    MATH  MathSciNet  Google Scholar 

  12. I. Richards, On the classification of noncompact surfaces,Trans. A.M.S. 106 (1963), 259–269.

    Article  MATH  MathSciNet  Google Scholar 

  13. M. Schiffer, On the modulus of doubly-connected domains,Quart. J. Math. 17 (1946), 197–213.

    Article  MathSciNet  Google Scholar 

  14. G. Springer, Introduction to Riemann Surfaces, Addison-Wesley, Reading, Mass., 1957.

    MATH  Google Scholar 

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Authors and Affiliations

  1. University of Minnesota, Minneapolis, Minn., USA

    A. Marden & I. Richards

  2. University of California, San Diego, Calif., USA

    B. Rodin

Authors
  1. A. Marden
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  2. I. Richards
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  3. B. Rodin
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Additional information

This work was supported in part by the National Science Foundation under grants GP 2280 and GP 4033 at the University of Minnesota and GP 4106 at the University of California, San Diego.

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Marden, A., Richards, I. & Rodin, B. Analytic self-mappings of Riemann surfaces. J. Anal. Math. 18, 197–225 (1967). https://doi.org/10.1007/BF02798045

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