Separate holomorphic extension along lines and holomorphic extension from the sphere to the ball

Details Separate holomorphic extension along lines and holomorphic extension from the sphere to the ball Separate holomorphic extension along lines and holomorphic extension from the sphere to the ball

2010-03-24

arxiv.org/abs/1003.4705v2

Mathematics

Complex Variables

6 pages

Scientific paper

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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