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Horospheres and iterates of holomorphic maps

✍ Scribed by Marco Abate

Publisher: Springer-Verlag
Year: 1988
Tongue: French
Weight: 641 KB
Volume: 198
Category: Article
ISSN: 0025-5874
DOI: 10.1007/bf01163293

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Throughout this paper D will be a bounded domain in C" and k, will be its Kobayashi distance. In [ 1 ] Abate introduced the following notion of horospheres in D. For q,~ D, XE~D, and R>O the small horosphere Ezo(.~, R) and the big horosphere F,,(x, R) of center x, pole z0 and radius R are defined by

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