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Separate real analyticity and CR extendibility

Separate real analyticity and CR extendibility It is proved here that a function in ℝ 2 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

Separate real analyticity and CR extendibility

Forum Mathematicum , Volume 21 (3) – May 1, 2009

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Publisher
de Gruyter
Copyright
© de Gruyter 2009
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/FORUM.2009.025
Publisher site
See Article on Publisher Site

Abstract

It is proved here that a function in ℝ 2 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.

Journal

Forum Mathematicumde Gruyter

Published: May 1, 2009

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