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 …

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

This completely revised and updated edition of the one variable part of the author's classic
older book" Iteration Theory of Holomorphic Maps on Taut Manifolds" presents the theory of …

We construct canonical intertwining semi-models with Kobayashi hyperbolic base space for
holomorphic self-maps of complex manifolds which are univalent on some absorbing …

We study the dynamical behaviour of composition operators Cϕ defined on spaces (Ω) of
real analytic functions on an open subset Ω of ℝd. We characterize when such operators are …

We study the spectrum σ (T) of a weighted composition operator T induced by a weight m∈
Hol (D) and a holomorphic self-map φ on the unit disc, which is not an elliptic automorphism …

Some remarks on the Abel equation in the unit disk. Sign In Folder Preferences Languages
New Features! Help Exit New Search Publications Subject Terms Cited References More …

We give a sufficient condition for two operators to be disjointly frequently hypercyclic. We
apply this criterion to composition operators acting on H (D) or on the Hardy space H 2 (D) …

The embeddability problem is a very old and hard problem in discrete holomorphic iteration
which deals with determining general conditions on a given univalent self-map $\varphi $ of …

We highlight a condition, the approaching geodesics property, on a proper geodesic
Gromov hyperbolic metric space, which implies that the horofunction compactification is …