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math.CV2005
The argument principle and holomorphic extendibility to finite Riemann surfaces
Josip Globevnik
Let M be a finite Riemann surface and let A(bM) be the algebra of all continuous functions on bM which extend holomorphically through M. We prove that a continuous function F on bM…
math.CV2005
Single valued conjugates and holomorphic extendibility
Josip Globevnik
Let D be a bounded domain in the complex plane whose boundary consists of m pairwise disjoint simple closed curves where m is greater than one. Let A(bD) be the algebra of all cont…
math.CV2005
Analyticity on translates of a Jordan curve
Josip Globevnik
Let C be real-analytic simple closed curve in the complex plane which is symmetric with respect to the real axis. Let r>0 be such that C+ir misses C-ir. We prove that if a continuo…