Canonical models for holomorphic iteration
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- by Leandro Arosio and Filippo Bracci PDF
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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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Additional Information
- Leandro Arosio
- Affiliation: Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via Della Ricerca Scientifica 1, 00133, Roma, Italy
- MR Author ID: 937673
- Email: arosio@mat.uniroma2.it
- Filippo Bracci
- Affiliation: Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via Della Ricerca Scientifica 1, 00133, Roma, Italy
- MR Author ID: 631111
- Email: fbracci@mat.uniroma2.it
- Received by editor(s): March 4, 2014
- Published electronically: May 29, 2015
- Additional Notes: This work was supported by the ERC grant “HEVO - Holomorphic Evolution Equations” n. 277691
- © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 3305-3339
- MSC (2010): Primary 32H50; Secondary 39B12, 26A18
- DOI: https://doi.org/10.1090/tran/6593
- MathSciNet review: 3451878