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

Abstract

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.

Identifiers

DOI

10.1353/ajm.2013.0015

Citations and references