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Equivalence problem for annuli and Bell representations in the plane |
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| Authors: | Moonja Jeong Jong-Won Oh Masahiko Taniguchi |
| Affiliation: | a Department of Mathematics, The University of Suwon, Suwon, PO Box 77, Kyungkido 440-600, Republic of Korea b Department of Mathematics, Yonsei University, Seoul 120-749, Republic of Korea c Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto 606, Japan |
| Abstract: | In this paper we solve the problem of equivalence between annuli and Bell representations, which are canonical planar domains of connectivity 2. We give a necessary and sufficient condition for equivalence as an explicit formula in parameters of the domains. |
| Keywords: | Annulus Bell representation Ahlfors map Critical points Teichmü ller extremal domain Theta constants Lambert series |
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