Canonical models for holomorphic iteration

Canonical models for holomorphic iteration

We construct canonical intertwining semi-models with Kobayashi hyperbolic base space for holomorphic self-maps of complex manifolds which are univalent on some absorbing cocompact hyperbolic domain. In particular, in the unit ball we solve the Valiron equation for hyperbolic univalent self-maps and...

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Veröffentlicht in:Transactions of the American Mathematical Society 2016-05, Vol.368 (5), p.3305-3339
Hauptverfasser: Arosio, Leandro, Bracci, Filippo
Format: Artikel
Sprache:eng
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Zusammenfassung:We construct canonical intertwining semi-models with Kobayashi hyperbolic base space for holomorphic self-maps of complex manifolds which are univalent on some absorbing cocompact hyperbolic domain. In particular, in the unit ball we solve the Valiron equation for hyperbolic univalent self-maps and for hyperbolic semigroups.
ISSN:0002-9947
1088-6850
DOI:10.1090/tran/6593