Equivalence of domains with isomorphic semigroups of endomorphisms
Complex Variables
2013-05-21 v1
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.
Keywords
Cite
@article{arxiv.1305.4387,
title = {Equivalence of domains with isomorphic semigroups of endomorphisms},
author = {Sergei Merenkov},
journal= {arXiv preprint arXiv:1305.4387},
year = {2013}
}
Comments
14 pages