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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Commuting holomorphic functions and hyperbolic automorphisms
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by Chiara de Fabritiis PDF
Proc. Amer. Math. Soc. 124 (1996), 3027-3037 Request permission

Abstract:

We give a complete classification of the holomorphic self-maps of the unit ball of $\mathbf {C}^{n}$ 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
  • MR Author ID: 294935
  • Email: FABRITII@NEUMANN.SISSA.IT
  • Received by editor(s): December 18, 1994
  • Communicated by: Eric Bedford
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 3027-3037
  • MSC (1991): Primary 32A10; Secondary 30E25, 32A40, 32A30
  • DOI: https://doi.org/10.1090/S0002-9939-96-03729-X
  • MathSciNet review: 1371120