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arxiv: 0801.0462 · v1 · submitted 2008-01-03 · 🧮 math.CV

Analytic continuation from a family of lines

classification 🧮 math.CV
keywords functioncurveentirelinesanalyticcontinuationconvexextend
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Given a function f in the exterior of a convex curve in the real plane, we prove that if the restrictions of f to the tangent lines to the curve extend as entire functions, then the function f is an entire function of two variables.

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