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On the group of holomorphic automorphisms of ℂn

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References

  1. Andersén, E.: Volume preserving automorphisms of 387-1. Complex Variables14, 223–235 (1990)

    Google Scholar 

  2. Arens, R.: Topologies for homeomorphism groups. Am. J. Math.68, 593–610 (1946)

    Google Scholar 

  3. Bott, R.: The stable homotopy of the classical, groups. Ann. Math.70, 313–337 (1959)

    Google Scholar 

  4. Clunie, J.: The composition of entire and meromorphic functions. In: Shankar, H. (ed.) Mathematical Essays Dedicated to A.S. Macintyr, pp. 75–923. Athens, OH: Ohio State University Press 1970

    Google Scholar 

  5. Dubrovin, B.A. Novikov, S.P. and Fomenko, A.T. Modern Geometry I–II (in Russian). Moscow: Nauka 1984, 1986

    Google Scholar 

  6. Hayman, W.K.: Meromorphic Functions, London; oxford University Press, 1964

    Google Scholar 

  7. Hörmander, L.: An Introduction to Complex Analysis in Several Variables, Amsterdam: North Holland 1973.

    Google Scholar 

  8. Jung, H.W.E.: Über ganze birationale Transformationen der Ebene, J. Reine Angew. Math.184, 161–174 (1942)

    Google Scholar 

  9. El Kasimi, A.: Approximation, polynômiale dans les domaines etoilés de 388-1, Complex Variables,10, 179–182 (1988)

    Google Scholar 

  10. Rosay, J.-P., Rudin, W.: Holomorphic maps from 388-2 to 388-3, Trans. Am. Math. Soc.,310, 47–86 (1988)

    Google Scholar 

  11. Šafarevič, I.R.: On some infinite dimensional groups II, Izv. Nauk SSSR., Ser. Mat.45, 214–226 (1981) (Russian)

    Google Scholar 

  12. Stoll, W.: Ganze Funktionen endlicher Ordnung mit gegebenen Nullstellenflächen, Math. Z.57, 211–237 (1953)

    Google Scholar 

  13. Vitter, A.: The lemma of the logarithmic derivative in several complex variables, Duke Math. J.,44, 89–104 (1977)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Lund University, Box 118, S-22100, Lund, Sweden

    Erik Andersén

  2. Department of Mathematics, Purdue University, 47907, West Lafayette, IN, USA

    László Lempert

Authors
  1. Erik Andersén
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  2. László Lempert
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Oblatum 21-IX-1991 & 30-IV-1992

Part of this work was done while the first named author was visiting Purdue University. He would like to express his gratitude to this institution for its hospitality

Supported in part by an NSF grant

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Andersén, E., Lempert, L. On the group of holomorphic automorphisms of ℂn . Invent Math 110, 371–388 (1992). https://doi.org/10.1007/BF01231337

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