Semihyperbolic transcendental semigroups

Kriete, Hartje; Sumi, Hiroki

J. Math. Kyoto Univ., Tome 40 (2000) no. 4, p. 205-216 / Harvested from Project Euclid

Résumé

This paper deals with semihyperbolic semigroups which are generated by entire (possibly transcendental) functions. In particular, a criterion is given assuring that a given entire semigroup is semihyperbolic. Note that a semihyperbolic semigroup $G$ admits holomorphic scaling, that is to say, the branches of local inverses of functions $f \in G$ are of bounded degree and that the preimages shrink to zero in diameter.

Publié le : 2000-05-15
Classification: 37F10, 30D05, 37F15, 37F50

@article{1250517712,
     author = {Kriete, Hartje and Sumi, Hiroki},
     title = {Semihyperbolic transcendental semigroups},
     journal = {J. Math. Kyoto Univ.},
     volume = {40},
     number = {4},
     year = {2000},
     pages = { 205-216},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250517712}
}

Kriete, Hartje; Sumi, Hiroki. Semihyperbolic transcendental semigroups. J. Math. Kyoto Univ., Tome 40 (2000) no. 4, pp.  205-216. http://gdmltest.u-ga.fr/item/1250517712/