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A Remark on Angular Complex Dilatations of Quasiconformal Mappings
By a theorem of Ortel an angular complex dilatation $\kappa$ is extremal iff it is Teichmüllèr (quadratic differential with finite norm) or if it satisfies an integral condition involving the angular limits ${\lambda _x}(\vartheta )$. We show that this second case occurs iff ${\lambda _x}(\vartheta )$ can be given explicitly …