Conformal automorphisms of countably connected regions

Short, Ian

doi:10.1090/S1088-4173-2013-00253-1

Conformal automorphisms of countably connected regions
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by Ian Short PDF

Conform. Geom. Dyn. 17 (2013), 1-5 Request permission

Abstract:

We prove that the conformal automorphism group of a countably connected circular region of connectivity at least three is either a Fuchsian group or a discrete elementary group of Möbius transformations.

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