Geodesic
LINEAR CONTINUOUS EXTENSION OPERATORS FOR GEVREY CLASSES ON POLYSECTORS
Glasgow mathematical journal, Tome 45 (2003) no. 2, pp. 199-216

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DOI

We study Gevrey classes of holomorphic functions of several variables on a polysector, and their relation to classes of Gevrey strongly asymptotically developable functions. A new Borel-Ritt-Gevrey interpolation problem is formulated, and its solution is obtained by the construction of adequate linear continuous extension operators. Our results improve those given by Haraoka in this context, and extend to several variables the one-dimensional versions of the Borel-Ritt-Gevrey theorem given by Ramis and Thilliez, respectively. Some rigidity properties for the constructed operators are stated.
DOI : 10.1017/S0017089503001319
Mots-clés : 30D60, 30E05, 41A60 
SANZ, J. LINEAR CONTINUOUS EXTENSION OPERATORS FOR GEVREY CLASSES ON POLYSECTORS. Glasgow mathematical journal, Tome 45 (2003) no. 2, pp. 199-216. doi: 10.1017/S0017089503001319
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     author = {SANZ, J.},
     title = {LINEAR {CONTINUOUS} {EXTENSION} {OPERATORS} {FOR} {GEVREY} {CLASSES} {ON} {POLYSECTORS}},
     journal = {Glasgow mathematical journal},
     pages = {199--216},
     year = {2003},
     volume = {45},
     number = {2},
     doi = {10.1017/S0017089503001319},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001319/}
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