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Extension properties in intersections of non quasi-analytic classes


Abstract


Let K be a non empty compact subset of R<sup>r</sup>.In [3], J. Chaumat and A.-M. Chollet introduce certain sequences of moderate growth,consider the corresponding intersections of non quasi-analytic classes of jets on K and of functions on R<sup>r</sup> and give a Whitney type extension theorem in this situation. These results have already been extended by P. Beaugendre in [1]. Here we continue this research, relaxing the conditions on the sequences and obtaining analytic extensions.

DOI Code: 10.1285/i15900932v25n2p159

Keywords: Extension theorem; Non quasi-analytic class; Whitney jet

Classification: 46E10; 26E10

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