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On a Theorem of Bers, with Applications to the Study of Automorphism Groups of Domains

Published online by Cambridge University Press:  20 November 2018

Steven Krantz
Steven Krantz*
Affiliation:
Department of Mathematics, Washington University in St. Louis, St. Louis, Missouri 63130 e-mail: sk@math.wustl.edu
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Abstract

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We study and generalize a classical theoremof L. Bers that classifies domains up to biholomorphic equivalence in terms of the algebras of holomorphic functions on those domains. Then we develop applications of these results to the study of domains with noncompact automorphism group.

Keywords

32A3830H5032A1032M99Bers’s theoremalgebras of holomorphic functionsnoncompact automorphism groupbiholomorphic equivalence
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 2 , 01 June 2016 , pp. 346 - 353
Copyright
Copyright © Canadian Mathematical Society 2016

References

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