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 for hyperbolic semigroups. References
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. References
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. References
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