Continuous one-parameter semigroups of holomorphic self-maps of the unit disc D in the
complex plane C have been a subject of study since early 1900s, both for their intrinsic …

This survey considers problems of analysis and certain related areas in which semigroups of
analytic functions with respect to the operation of composition appear naturally. The main …

Linearization models for discrete and continuous time dynamical systems are the driving
forces for modern geometric function theory and composition operator theory on function …

Рассматриваются задачи анализа и некоторых смежных областей, в ко торых
естественным образом возникают полугруппы аналитических функ ций относительно …

We analyze the relationship between boundary fixed points of semigroups of analytic
functions and boundary critical points of their infinitesimal generators. As a consequence …

The main purpose of this paper is to study time-inhomogeneous one-dimensional branching
processes (mainly on a continuous but also on a discrete state space) with the help of recent …

We study the backward invariant set of one-parameter semigroups of holomorphic self-maps
of the unit disc. Such a set is foliated in maximal invariant curves, and its open connected …

Abstract Analogues of the Berkson-Porta formula for the infinitesimal generator of a one-
parameter semigroup of holomorphic maps of the unit disc into itself are obtained in the case …

One-parameter semigroups of holomorphic functions appear naturally in various
applications of Complex Analysis, and in particular, in the theory of (temporally) …

Dans cette Note nous établissons des conditions qui assument l'existence de domaines
invariants par flot rétrograde de semi-groupes d'applications holomorphes d'un domaine D …