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On the superpostition of functions in carleman classes

Published online by Cambridge University Press:  17 April 2009

Mostefa Ider
Affiliation:
Département de mathématiques et d'informatiqueUniversité de SherbrookeSherbrooke QuébecCanada J1K 2R1
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1989

References

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