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.
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Data di pubblicazione: | 2017 | |
Titolo: | A simple proof of Kotake-Narasimhan Theorem in some classes of ultradifferentiable functions | |
Autori: | Boiti, Chiara; Jornet, David | |
Rivista: | JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | |
Parole Chiave: | Iterates of an operator, Theorem of Kotake-Narasimhan, ultradifferentiable functions | |
Abstract in inglese: | 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. | |
Digital Object Identifier (DOI): | 10.1007/s11868-016-0163-y | |
Handle: | http://hdl.handle.net/11392/2342865 | |
Appare nelle tipologie: | 03.1 Articolo su rivista |
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