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Licensed Unlicensed Requires Authentication Published by De Gruyter March 12, 2009

Separate real analyticity and CR extendibility

Luca Baracco and Giuseppe Zampieri
From the journal

Abstract

It is proved here that a function in ℝ2 which is separately real analytic in one variable and CR extendible in the other (that is separately holomorphically extendible to a uniform strip), is real analytic. It is also considered the case when the CR extendibility occurs only on one side. The proof is obtained by bringing the problem into the frame of CR geometry.

Received: 2007-02-13
Revised: 2007-09-26
Accepted: 2008-01-21
Published Online: 2009-03-12
Published in Print: 2009-May

© de Gruyter 2009