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On the superpostition of functions in carleman classes
Published online by Cambridge University Press: 17 April 2009
Abstract
In this paper we deal with classes of infinitely differentiable functions known in the literature as Carleman classes. Our main result is a characterisation of those Carleman classes that are closed under superposition. This result enables us to give a complete solution to a problem that has been considered by Gevrey, Cartan and Bang.
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- Research Article
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- Copyright © Australian Mathematical Society 1989
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