Analyticity on translates of a Jordan curve

Josip Globevnik

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Analyticity on translates of a Jordan curve

Josip Globevnik

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Abstract

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 continuous function f extends holomorphically from C+it for each t in [-r,r] then f is holomorphic.

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Josip Globevnik. 2005-06-14. Analyticity on translates of a Jordan curve. https://arxiv.org/abs/math/0506282

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