Analyticity on translates of a Jordan curve

Details Analyticity on translates of a Jordan curve Analyticity on translates of a Jordan curve

2005-06-14

arxiv.org/abs/math/0506282v1

Mathematics

Complex Variables

12 pages

Scientific paper

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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