We characterize the infinitesimal generator of a semigroup of linear fractional self-maps of the unit ball in C-n, n >= 1. For the case n = 1, we also completely describe the associated Koenigs function and solve the embedding problem from a dynamical point of view, proving ( among other things) that a generic semigroup of holomorphic self-maps of the unit disc is a semigroup of linear fractional maps if and only if it contains a linear fractional map for some positive time.

Bracci, F., Contreras, M.d., Diaz Madrigal, S. (2007). Infinitesimal generators associated with semigroups of linear fractional maps. JOURNAL D'ANALYSE MATHEMATIQUE, 102, 119-142 [10.1007/s11854-007-0018-9].

Infinitesimal generators associated with semigroups of linear fractional maps

BRACCI, FILIPPO;
2007-01-01

Abstract

We characterize the infinitesimal generator of a semigroup of linear fractional self-maps of the unit ball in C-n, n >= 1. For the case n = 1, we also completely describe the associated Koenigs function and solve the embedding problem from a dynamical point of view, proving ( among other things) that a generic semigroup of holomorphic self-maps of the unit disc is a semigroup of linear fractional maps if and only if it contains a linear fractional map for some positive time.
2007
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/03 - GEOMETRIA
English
ANALYTIC-FUNCTIONS; UNIT BALL; BOUNDARY; ITERATION; POINTS; DISK; HP
24
Bracci, F., Contreras, M.d., Diaz Madrigal, S. (2007). Infinitesimal generators associated with semigroups of linear fractional maps. JOURNAL D'ANALYSE MATHEMATIQUE, 102, 119-142 [10.1007/s11854-007-0018-9].
Bracci, F; Contreras, Md; Diaz Madrigal, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/55398
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