A generalization of Radó's theorem
E. M. Chirka
Annales Polonici Mathematici, Tome 81 (2003), p. 109-112 / Harvested from The Polish Digital Mathematics Library
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If Σ is a compact subset of a domain Ω ⊂ ℂ and the cluster values on ∂Σ of a holomorphic function f in Ω∖Σ, f' ≢ 0, are contained in a compact null-set for the holomorphic Dirichlet class, then f extends holomorphically onto the whole domain Ω.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:280687 
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E. M. Chirka. A generalization of Radó's theorem. Annales Polonici Mathematici, Tome 81 (2003) pp. 109-112. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-7/