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Commuting holomorphic functions
and hyperbolic automorphisms
Author:
Chiara de Fabritiis
Journal:
Proc. Amer. Math. Soc. 124 (1996), 3027-3037
MSC (1991):
Primary 32A10; Secondary 30E25, 32A40, 32A30
MathSciNet review:
1371120
Full-text PDF Free Access
Abstract |
References |
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Additional Information
Abstract: We give a complete classification of the holomorphic self-maps of the unit ball of  into itself which commute with a given hyperbolic automorphism.
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Additional Information
Chiara de Fabritiis
Affiliation:
International School for Advanced Studies, via Beirut 2-4, 34014, Trieste, Italy
Email:
FABRITII@NEUMANN.SISSA.IT
DOI:
http://dx.doi.org/10.1090/S0002-9939-96-03729-X
PII:
S 0002-9939(96)03729-X
Keywords:
Commuting functions,
hyperbolic automorphism,
Wolff point
Received by editor(s):
December 18, 1994
Communicated by:
Eric Bedford
Article copyright:
© Copyright 1996 American Mathematical Society
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