Semigroup-fication of univalent self-maps of the unit disc

19 Feb 2020 Bracci Filippo Roth Oliver

Let $f$ be a univalent self-map of the unit disc. We introduce a technique, that we call {\sl semigroup-fication}, which allows to construct a continuous semigroup $(\phi_t)$ of holomorphic self-maps of the unit disc whose time one map $\phi_1$ is, in a sense, very close to $f$... (read more)

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Categories


  • COMPLEX VARIABLES
  • DYNAMICAL SYSTEMS