JournalszaaVol. 40, No. 4pp. 425–451

Global Properties of Vector Fields on Compact Lie Groups in Komatsu Classes

  • Alexandre Kirilov

    Universidade Federal do Paraná, Curitiba, Brazil

  • Wagner A. A. de Moraes

    Ghent University, Belgium

  • Michael Ruzhansky

    Ghent University, Belgium
Global Properties of Vector Fields on Compact Lie Groups in Komatsu Classes cover

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Abstract

In this paper, we characterize completely the global hypoellipticity and global solvability in the sense of Komatsu (of Roumieu and Beurling types) of constant-coefficient vector fields on compact Lie groups. We also analyze the influence of perturbations by lower-order terms in the preservation of these properties.

Cite this article

Alexandre Kirilov, Wagner A. A. de Moraes, Michael Ruzhansky, Global Properties of Vector Fields on Compact Lie Groups in Komatsu Classes. Z. Anal. Anwend. 40 (2021), no. 4, pp. 425–451

DOI 10.4171/ZAA/1691