Systèmes sous-elliptiques. II. (Subelliptic systems. II)

DOI10.1007/BF01245081zbMath0771.35086MaRDI QIDQ1176638

J. F. Nourrigat

Publication date: 25 June 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143888

zbMATH Keywords

pseudodifferential systemsmaximum modulus principleprincipal symbols\(L^ 2\)-inequalitiesmaximal hypoelliptic systemrepresentations of nilpotent Lie groups

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27)

Related Items (8)

Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential ⋮ A remark on Kohn's theorem on sums of squares of complex vector fields ⋮ États cohérents, théorie spectrale et représentations de groupes nilpotents ⋮ Compactness of the resolvent for the Witten Laplacian ⋮ Subelliptic estimates for overdetermined systems of quadratic differential operators ⋮ Subelliptic estimates for some systems of complex vector fields: Quasihomogeneous case ⋮ Subellipticity of some complex vector fields related to the Witten Laplacian ⋮ A necessary and sufficient condition for Melin's inequality for a class of systems

Cites Work

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• Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs. (Maximal hypoellipticity for polynomial operators of vector fields)
• Réduction microlocale des systèmes d'opérateurs pseudo- différentiels. (Microlocal reduction of systems of pseudodifferential operators)
• Inégalités \(L^ 2\) et représentations de groupes nilpotents. (\(L^ 2\)-inequalities and representations of nilpotent groups)
• Pseudo-differential operators and non-elliptic boundary problems
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• The uncertainty principle
• On the subelliptic test estimates
• Subelliptic systems
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• The uncertainty principle and sharp gårding inequalities
• La condition de hörmander-khon pour les operateurs pseudo-differentiels
• SUBELLIPTIC OPERATORS
• On local solvability of linear partial differential equations part I: Necessary conditions

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