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EnglishIn this paper we prove that a global $omega$-hypoelliptic vector field on the torus $T^n$ can be transformed by a $mathcall{E}_omega}-diffeomorphism of $T^n$ into a vector field with constant coefficients which satisfy a Diophantine condition in terms of the weight function $omega$. Thereby, we extend previous work by Chen and Chi to a bigger scale of spaces, namely, in the setting of ultradifferentiable classes and ultradistributions of Beurling and Roumieu type.
| Titolo: | Global hypoelliptic vector fields in ultradifferentiable classes and normal forms |
| Autori: | |
| Data di pubblicazione: | 2020 |
| Rivista: | |
| Abstract: | In this paper we prove that a global $omega$-hypoelliptic vector field on the torus $T^n$ can be transformed by a $mathcall{E}_omega}-diffeomorphism of $T^n$ into a vector field with constant coefficients which satisfy a Diophantine condition in terms of the weight function $omega$. Thereby, we extend previous work by Chen and Chi to a bigger scale of spaces, namely, in the setting of ultradifferentiable classes and ultradistributions of Beurling and Roumieu type. |
| Handle: | http://hdl.handle.net/11587/441131 |
| Appare nelle tipologie: | Articolo pubblicato su Rivista |
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