Displaying similar documents to “Spectral asymptotics for multi-quasi-elliptic operators in ℝ n ”

Gevrey hypoellipticity for a class of degenerated quasi-elliptic operators

Genadij O. Hakobyan, V. N. Margaryan (2003)

Commentationes Mathematicae Universitatis Carolinae

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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.

Two remarks about spectral asymptotics of pseudodifferential operators

Wojciech Czaja, Ziemowit Rzeszotnik (1999)

Colloquium Mathematicae

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In this paper we show an asymptotic formula for the number of eigenvalues of a pseudodifferential operator. As a corollary we obtain a generalization of the result by Shubin and Tulovskiĭ about the Weyl asymptotic formula. We also consider a version of the Weyl formula for the quasi-classical asymptotics.

Weighted Weyl estimates near an elliptic trajectory.

Thierry Paul, Alejandro Uribe (1998)

Revista Matemática Iberoamericana

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Let Ψj h and Ej h denote the eigenfunctions and eigenvalues of a Schrödinger-type operator Hh with discrete spectrum. Let Ψ(x,ξ) be a coherent state centered at a point (x,ξ) belonging to an elliptic periodic orbit, γ of action Sγ and Maslov index σγ. We consider weighted Weyl estimates of the following...