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arXiv · 1305.4387

Equivalence of domains with isomorphic semigroups of endomorphisms

Sergei Merenkov
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Abstract

For two bounded domains in the complex plane whose semigroups of analytic endomorphisms are isomorphic, Eremenko proved in 1993 that the isomorphism is given as a conjugation by a conformal or anticonformal map. In the present paper we prove an analogue of this result for the case of bounded domains in \mathbb C^n.

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Sergei Merenkov. 2013-05-19. Equivalence of domains with isomorphic semigroups of endomorphisms. https://arxiv.org/abs/1305.4387

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