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math.CV2004
The argument principle and holomorphic extendibility
Josip Globevnik
Let D be a bounded domain in the complex plane whose boundary consists of finitely many pairwise disjoint simple closed curves. Give bD the standard orientation and let A(D) be the…
math.CV2004
Holomorphic extendibility and the argument principle
Josip Globevnik
The paper gives the following characterization of the disc algebra in terms of the argument principle: A continuous function f on the unit circle T extends holomorphically through…