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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

The de Branges theorem on univalent functions


Authors: Carl H. FitzGerald and Ch. Pommerenke
Journal: Trans. Amer. Math. Soc. 290 (1985), 683-690
MSC: Primary 30C50
MathSciNet review: 792819
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Abstract: We present a simplified version of the de Branges proof of the Lebedev-Milin conjecture which implies the Robertson and Bieberbach conjectures. As an application of an analysis of the technique, it is shown that the method could not be used directly to prove the Bieberbach conjecture.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1985-0792819-9
Article copyright: © Copyright 1985 American Mathematical Society