Converging semigroups of holomorphic maps
- Volume: 82, Issue: 2, page 223-227
- ISSN: 0392-7881
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topAbate, Marco. "Converging semigroups of holomorphic maps." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 82.2 (1988): 223-227. <http://eudml.org/doc/289235>.
@article{Abate1988,
abstract = {In this paper we study the semigroups $\Phi : \mathbb\{R\}^\{+\} \rightarrow Hol(D,D)$ of holomorphic maps of a strictly convex domain $D \subset \mathbf\{C\}^\{n\}$ into itself. In particular, we characterize the semigroups converging, uniformly on compact subsets, to a holomorphic map $h : D \rightarrow \mathbf\{C\}^\{n\}$.},
author = {Abate, Marco},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
keywords = {Semigroups of holomorphic maps; Convex domains; Iteration of holomorphic maps; Fixed points},
language = {eng},
month = {6},
number = {2},
pages = {223-227},
publisher = {Accademia Nazionale dei Lincei},
title = {Converging semigroups of holomorphic maps},
url = {http://eudml.org/doc/289235},
volume = {82},
year = {1988},
}
TY - JOUR
AU - Abate, Marco
TI - Converging semigroups of holomorphic maps
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1988/6//
PB - Accademia Nazionale dei Lincei
VL - 82
IS - 2
SP - 223
EP - 227
AB - In this paper we study the semigroups $\Phi : \mathbb{R}^{+} \rightarrow Hol(D,D)$ of holomorphic maps of a strictly convex domain $D \subset \mathbf{C}^{n}$ into itself. In particular, we characterize the semigroups converging, uniformly on compact subsets, to a holomorphic map $h : D \rightarrow \mathbf{C}^{n}$.
LA - eng
KW - Semigroups of holomorphic maps; Convex domains; Iteration of holomorphic maps; Fixed points
UR - http://eudml.org/doc/289235
ER -
References
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- WOLFF, J.: Sur l'itération des fonctions bornées. «C.R. Acad. Sci. Paris» 182 (1926), 200-201. JFM52.0309.03
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