Geodesic
Averages of holomorphic mappings and holomorphic retractions on convex hyperbolic domains
Studia Mathematica, Tome 130 (1998) no. 3, pp. 231-244

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let D be a hyperbolic convex domain in a complex Banach space. Let the mapping F ∈ Hol(D,D) be bounded on each subset strictly inside D, and have a nonempty fixed point set ℱ in D. We consider several methods for constructing retractions onto ℱ under local assumptions of ergodic type. Furthermore, we study the asymptotic behavior of the Cesàro averages of one-parameter semigroups generated by holomorphic mappings.
DOI : 10.4064/sm-130-3-231-244

Simeon Reich 1 ; David Shoikhet 1

1 
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Simeon Reich; David Shoikhet. Averages of holomorphic mappings and holomorphic retractions on convex hyperbolic domains. Studia Mathematica, Tome 130 (1998) no. 3, pp. 231-244. doi: 10.4064/sm-130-3-231-244

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