Equivalence problem for annuli and Bell representations in the plane

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.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications Vol. 325; no. 2; pp. 1295 - 1305
Main Authors: Jeong, Moonja, Oh, Jong-Won, Taniguchi, Masahiko
Format: Journal Article
Language:English
Published: San Diego, CA Elsevier Inc 15.01.2007
Elsevier
Subjects:
Ahlfors map
Annulus
Bell representation
Critical points
Exact sciences and technology
Functions of a complex variable
Lambert series
Mathematical analysis
Mathematics
Sciences and techniques of general use
Several complex variables and analytic spaces
Teichmüller extremal domain
Theta constants
Teichmüller extremal domain
Ahlfors map
Bell representation
Critical points
Annulus
Lambert series
Theta constants
Mathematical analysis
Necessary and sufficient condition
Teichmller extremal domain
Critical point
ISSN:0022-247X, 1096-0813
Online Access:Get full text
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Description
Summary: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2006.02.001