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Tensor product characterizations of mixed intersections of non quasianalytic classes and kernel theorems
Authors:Jean Schmets  Manuel Valdivia
Affiliation:1. Institut de Mathématique, Université de Liège, Sart Tilman Bat. B 37, B–4000 Liège 1, Belgium;2. Facultad de Matemáticas, Universidad de Valencia, Dr. Moliner 50, E–46100 Burjasot (Valencia), Spain;3. Phone: +34 963543909, Fax: +34 963544723
Abstract:
Mixed intersections of non quasi‐analytic classes have been studied in [12]. Here we obtain tensor product representations of these spaces that lead to kernel theorems as well as to tensor product representations of intersections of non quasi‐analytic classes on product of open or of compact sets (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Ultradifferentiable functions  Beurling classes  tensor product  kernel theorems
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