EUDML | Characterization, spectral invariance and the Fredholm property of multi-quasi-elliptic operators.

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The problems of Gevrey hypoellipticity for a class of degenerated quasi-elliptic operators are studied by several authors (see [1]–[5]). In this paper we obtain the Gevrey hypoellipticity for a degenerated quasi-elliptic operator in $ℝ^{2}$ , without any restriction on the characteristic polyhedron.