We give positive answer to a conjecture by Agra- novsky. 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.
Separate holomorphic extension along lines and holomorphic extension from the sphere to the ball
BARACCO, LUCA
In corso di stampa
Abstract
We give positive answer to a conjecture by Agra- novsky. 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.
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