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Holomorphic correspondences of bounded domains in ℂn

Part of the Lecture Notes in Mathematics book series (LNM,volume 1094)

Keywords

  • Proper Mapping
  • Blaschke Product
  • Pseudoconvex Domain
  • Covering Space
  • Boundary Regularity

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. L. Ahlfors, Open Riemann surfaces and extremal problems on compact subregions. Comm. Math. Helv. 24(1950), 100–132.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. E. Bedford, Proper holomorphic mappings, Bull. Amer. Math. Soc.

    Google Scholar 

  3. E. Bedford and S. Bell, Proper self maps of weakly pseudoconvex domains. Math. Ann. 261(1982), 47–49.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. E. Bedford and S. Bell, Boundary continuity of proper holomorphic correspondences. Séminaire Dolbeault-Lelong-Skoda 1982–83.

    Google Scholar 

  5. E. Bedford and S. Bell, Boundary behavior of proper holomorphic correspondences.

    Google Scholar 

  6. C. Berge, The Theory of Graphs, John Wiley, New York, 1962.

    MATH  Google Scholar 

  7. H. Cartan, Quotients of complex analytic spaces, in Contribution to Function Theory. Oxford Univ. Press, Bombay 1960.

    Google Scholar 

  8. K. Diederich and J.E. Fornaess, Proper holomorphic maps onto pseudoconvex domains with real-analytic boundary. Ann. Math. 110 (1979) 575–592.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley, 1978.

    Google Scholar 

  10. G. Henkin, An analytic polyhedron is not holomorphically equivalent to a strictly pseudoconvex domain. Dokl. Akad. Nauk SSSR 210(1973), 1026–1029; Soviet Math. Dokl. 14(1973), 858–862.

    MathSciNet  MATH  Google Scholar 

  11. S. Pinčuk, On proper holomorphic mappings of strictly pseudoconvex domains. Siberian Math. J. 15(1974), 909–917.

    Google Scholar 

  12. S. Pinčuk, Holomorphic inequivalence of some classes of domains in ℂn. Math. USSR Sbornik 39(1981)=Mat. Sbornik 111(153) (1980), 61–86.

    CrossRef  Google Scholar 

  13. H. Rischel, Holomorphe Űberlagerungskorrespondenzen. Math. Scand. 15(1964), 49–63.

    MathSciNet  MATH  Google Scholar 

  14. J.P. Rosay, Rosay, Sur une caractérisation de la boule parmi les domaines de ℂn par son groupe d'automorphismes, Ann. Inst. Fourier 29(1979) 91–97.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. G. Schüller, Beiträge zur Theorie der randeigentlichen Korrespondenzen. Dissertation, Univ. Duisberg, 1980.

    Google Scholar 

  16. K. Stein, Topics on holomorphic correspondences. Rocky Mountain J. of Math. 2(1972), 443–463.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. H. Whitney, Complex Analytic Varieties, Addison-Wesley, 1972.

    Google Scholar 

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© 1984 Springer-Verlag

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Bedford, E., Bell, S. (1984). Holomorphic correspondences of bounded domains in ℂn . In: Amar, E., Gay, R., Van Thanh, N. (eds) Analyse Complexe. Lecture Notes in Mathematics, vol 1094. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099149

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  • DOI: https://doi.org/10.1007/BFb0099149

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13886-0

  • Online ISBN: 978-3-540-39096-1

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