Geodesic
On a Theorem of Bers, with Applications to the Study of Automorphism Groups of Domains
Canadian mathematical bulletin, Tome 59 (2016) no. 2, pp. 346-353

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DOI

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.
DOI : 10.4153/CMB-2015-078-8
Mots-clés : 32A38, 30H50, 32A10, 32M99, Bers’s theorem, algebras of holomorphic functions, noncompact automorphism group, biholomorphic equivalence 
Krantz, Steven. On a Theorem of Bers, with Applications to the Study of Automorphism Groups of Domains. Canadian mathematical bulletin, Tome 59 (2016) no. 2, pp. 346-353. doi: 10.4153/CMB-2015-078-8
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     author = {Krantz, Steven},
     title = {On a {Theorem} of {Bers,} with {Applications} to the {Study} of {Automorphism} {Groups} of {Domains}},
     journal = {Canadian mathematical bulletin},
     pages = {346--353},
     year = {2016},
     volume = {59},
     number = {2},
     doi = {10.4153/CMB-2015-078-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-078-8/}
}
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