Canonical Models for holomorphic iteration
classification
🧮 math.CV
math.DS
keywords
hyperboliccanonicalholomorphicself-mapsunivalentabsorbingballbase
read the original abstract
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.
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