Extension operators in Carleman ultraholomorphic classes

[摘要] Linear and continuous extension operators are constructed in Carleman ultraholomorphic classes of functions of several variables in polysectors, so generalizing Borel-Ritt-Gevrey theorem. With the help of quasi-analyticity results, some rigidity properties of these operators are analyzed. (C) 2010 Elsevier Inc. All rights reserved.

[发布日期] 2010-12-01

[关键词] Extension operators;Carleman ultraholomorphic classes;Asymptotic expansions in several variables;Borel-Ritt-Gevrey theorem