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• #### The Index of Singular Zeros of Harmonic Mappings of Anti-Analytic Degree One ﻿

[OWP-2017-03] (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-02)
We study harmonic mappings of the form $f(z) = h(z) - \overline{z}$, where $h$ is an analytic function. In particular we are interested in the index (a generalized multiplicity) of the zeros of such functions. Outside the ...
• #### Non-Extendability of Holomorphic Functions with Bounded or Continuously Extendable Derivatives ﻿

[OWP-2017-30] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-21)
We consider the spaces $H_{F}^{\infty}(\Omega)$ and $\mathcal{A}_{F}(\Omega)$ containing all holomorphic functions $f$ on an open set $\Omega \subseteq \mathbb{C}$, such that all derivatives $f^{(l)}$, \$l\in F \subseteq ...