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Artículo
Fixed points and boundary behaviour of the Koenigs function
(2004)
We analyze the relationship between the fixed points of different iterates of an analytic self-map of the unit disk. We show that, in general, a boundary fixed point of such a function is not a fixed point of its iterates. ...
Artículo
Infinitesimal generators of semigroups with prescribed boundary fixed points
(Springer, 2020-08)
We study infinitesimal generators of one-parameter semigroups in the unit disk D having prescribed boundary regular fixed points. Using an explicit representation of such infinitesimal generators in combination with ...
Artículo
Angular Extents and Trajectory Slopes in the Theory of Holomorphic Semigroups in the Unit Disk
(Springer, 2021-04)
We study relationships between the asymptotic behaviour of a non-elliptic semigroup of holomorphic self-maps of the unit disk and the geometry of its planar domain (the image of the Koenigs function). We establish a ...
Artículo