Separate holomorphic extension along lines and holomorphic extension from the sphere to the ball
classification
🧮 math.CV
keywords
holomorphicextensionalongballfunctionlinesseparatesphere
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We give positive answer to a conjecture by Agranovsky. A continuous function on the sphere which has separate holomorphic extension along the set of complex lines passing through three non aligned interior points, is the trace of a holomorphic function in the ball.
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