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Separate holomorphic extension along lines and holomorphic extension from the sphere to the ball
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 135, Number 2, April 2013
- pp. 493-497
- 10.1353/ajm.2013.0015
- Article
- Additional Information
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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 complex lines which pass through three non-aligned interior points is the trace of a holomorphic function in the ball.