We give a simple proof of a general theorem of Kotake-Narasimhan for elliptic operators in the setting of ultradifferentiable functions in the sense of Braun, Meise and Taylor. We follow the ideas of Komatsu. Based on an example of Metivier, we also show that the ellipticity is a necessary condition for the theorem to be true.

A simple proof of Kotake-Narasimhan Theorem in some classes of ultradifferentiable functions

BOITI, Chiara;
2016

Abstract

We give a simple proof of a general theorem of Kotake-Narasimhan for elliptic operators in the setting of ultradifferentiable functions in the sense of Braun, Meise and Taylor. We follow the ideas of Komatsu. Based on an example of Metivier, we also show that the ellipticity is a necessary condition for the theorem to be true.
Iterates of an operator, Theorem of Kotake-Narasimhan, ultradifferentiable functions
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11392/2342865
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