Weyl calculus and subelliptic operators

DOI10.5802/aif.1367zbMath0797.35008OpenAlexW2030806895MaRDI QIDQ1318010

C. E. Cancelier, Chao-Jiang Xu, Jean-Yves Chemin

Publication date: 18 October 1994

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_4_1157_0

zbMATH Keywords

subelliptic operatorsWeyl-Hörmander calculus

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Pseudodifferential operators as generalizations of partial differential operators (35S05) Analyticity in context of PDEs (35A20)

Related Items (14)

Construction of Sobolev spaces of fractional order with sub-Riemannian vector fields ⋮ Espaces fonctionnels associés au calcul de Weyl-Hörmander ⋮ Invertibility for a class of degenerate elliptic operators ⋮ On a class of hyperbolic equations in Weyl-Hörmander calculus ⋮ MULTIFRACTAL ANALYSIS OF FUNCTIONS ON HEISENBERG AND CARNOT GROUPS ⋮ Unnamed Item ⋮ Inclusions de sobolev en calcul de weyl-hörmander et champs de vecteurs sous-elliptiques ⋮ Parametrix construction for a class of anisotropic operators ⋮ L^pbounds inS(m,g)-calculus ⋮ Trace theorem on the Heisenberg group ⋮ \(L^p\)-estimates for a class of pseudodifferential operators in the framework of the Weyl-Hörmander calculus ⋮ Tempered distributions and Fourier transform on the Heisenberg group ⋮ Fefferman's SAK uncertainty principle ⋮ A class of invertible subelliptic operators in \(S(m,g)\)-classes

Cites Work

• Balls and metrics defined by vector fields. I: Basic properties
• Hypoelliptic differential operators and nilpotent groups
• Characterization of pseudodifferential operator and application
• Hypoelliptic second order differential equations
• La condition de hörmander-khon pour les operateurs pseudo-differentiels
• Espaces fonctionnels associés au calcul de Weyl-Hörmander
• Quantification asymptotique et microlocalisations d'ordre supérieur. I
• Subelliptic variational problems
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