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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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