Étude spectrale d'opérateurs hypoelliptiques à caractéristiques multiples. I

DOI10.5802/aif.880zbMath0488.35079OpenAlexW3020887152MaRDI QIDQ1166031

Arbderemane Mohamed

Publication date: 1983

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1982__32_3_39_0

zbMATH Keywords

double characteristicselfadjoint pseudodifferential operatorsymplectic characteristic manifold

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (3)

Réduction microlocale des systèmes d'opérateurs pseudo- différentiels. (Microlocal reduction of systems of pseudodifferential operators) ⋮ Complex powers of vector valued operators and their application to asymptotic behavior of eigenvalues ⋮ Spectral analysis and geometry of a sub-Riemannian structure on \(S^3\) and \(S^7\)

Cites Work

• On the eigenvalues of a class of hypoelliptic operators. IV
• The eigenvalues of hypoelliptic operators. III: The non-semibounded case
• Invariants associés à une classe d'opérateurs pseudodifférentiels et applications à l'hypoellipticité
• On the eigenvalues of a class of hypoelliptic operators
• On a class of pseudodifferential operators with double characteristics
• Fourier integral operators. I
• On the proof of the discreteness of the spectrum of one class of differential operators in \(R^ n\)
• Hypoelliptic operators with double characteristics and related pseudo-differential operators
• The weyl calculus of pseudo-differential operators
• Proprietes spectrales d'operators pseduo-differentiels
• Parametrices for pseudodifferential operators with multiple characteristics
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