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arXiv:math/0506282 [math.CV]AbstractReferencesReviewsResources

Analyticity on translates of a Jordan curve

Josip Globevnik

Published 2005-06-14Version 1

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.

Comments: 12 pages
Categories: math.CV
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