Carathéodory extremal functions on the symmetrized bidisc
We show that, generically, solutions are unique up to composition with automorphisms of the disc. We also obtain formulae for large classes of extremal functions for the Carathéodory problems for tangents of non-generic types.
KeywordsCarathéodory extremal functions symmetrized bidisc model formulae realization formulae
Mathematics Subject Classification (2010)32A07 53C22 54C15 47A57 32F45 47A25 30E05
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