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Analyticity on translates of a Jordan curve

By Josip Globevnik

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.Comment: 12 page

Topics: Mathematics - Complex Variables
Year: 2005
OAI identifier: oai:arXiv.org:math/0506282
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