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.
Separate real analyticity and CR extendibility
BARACCO, LUCA;ZAMPIERI, GIUSEPPE
2009
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.File in questo prodotto:
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