Mark Elin, Fiana Jacobzon
Published 2013-09-16Version 1
We study the asymptotic behavior of parabolic type semigroups acting on the unit disk as well as those acting on the right half-plane. We use the asymptotic behavior to investigate the local geometry of the semigroup trajectories near the boundary Denjoy--Wolff point. The geometric content includes, in particular, the asymptotes to trajectories, the so-called limit curvature, the order of contact, and so on. We then establish asymptotic rigidity properties for a broad class of semigroups of parabolic type.
Blaschke-type conditions for analytic functions in the unit disk: inverse problems and local analogs
On the Asymptotic Behavior of Ring $Q$-homeomorphisms with Respect to $P$-modulus
Zeros and coefficients
![QR code for arXiv:1309.4002 [math.CV]](http://oss.arxitics.com/images/favicon.svg)