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Proper Holomorphic self-maps of quasi-circular domains in C2

Published online by Cambridge University Press:  22 January 2016

B. Coupet ,
Y. Pan  and
A. Sukhov
B. Coupet
Affiliation:
LATP, CNRS/UMR n° 6632 CMI, Université de Provence, 39, rue Joliot Curie 13453 Marseille cedex 13, France, [email protected]
Y. Pan
Affiliation:
Department of Mathematics, Indiana University-Purdue University Ft. Wayne, Ft. Wayne, IN 46805, U.S.A., [email protected]
A. Sukhov
Affiliation:
LATP CNRS/ UMR n° 6632 CMI, Université de Provence, 39, rue Joliot Curie 13453 Marseille cedex 13, France, [email protected]
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Abstract

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In this paper, we prove that every proper holomorphic self-map of a smoothly bounded pseudoconvex circular or Hartogs domain of finite type in C2 is biholomorphic.

Keywords

32H35
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 164 , December 2001 , pp. 1 - 16
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2001

References

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