A Gevrey Differential Complex on the Torus

To a system of n closed one-forms on the torus T m + n , we associate a differential complex and compute the induced cohomology groups in the s -Gevrey category, provided that a related matrix of periods satisfies a Diophantine condition. Also, we present a complete characterization for the s -globa...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	The Journal of fourier analysis and applications 2020-02, Vol.26 (1), Article 8
Hauptverfasser:	da Silva, P. L. Dattori, Meziani, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Approximations and Expansions Fourier Analysis Homology Mathematical Methods in Physics Mathematics Mathematics and Statistics Mathematics, Applied Partial Differential Equations Physical Sciences Science & Technology Signal,Image and Speech Processing Toruses
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	To a system of n closed one-forms on the torus T m + n , we associate a differential complex and compute the induced cohomology groups in the s -Gevrey category, provided that a related matrix of periods satisfies a Diophantine condition. Also, we present a complete characterization for the s -global hypoellipticity at the level of q -forms for q ≥ 0 .
ISSN:	1069-5869 1531-5851
DOI:	10.1007/s00041-019-09713-w