Parametrix constructions for some classes of right-invariant differential operators on the heisenberg group
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Publication:3946495
DOI10.1080/03605308108820214zbMath0486.35007OpenAlexW2022646088MaRDI QIDQ3946495
Publication date: 1981
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605308108820214
Related Items (14)
Stable semi-groups of measures as commutative approximate identities of non-graded homogeneous groups ⋮ Réduction microlocale des systèmes d'opérateurs pseudo- différentiels. (Microlocal reduction of systems of pseudodifferential operators) ⋮ Inverses and Parametrices for Right-Invariant Pseudodifferential Operators on Two-Step Nilpotent Lie Groups ⋮ Proper uniform pseudodifferential operators on unimodular Lie groups ⋮ Construction d'une paramétrixe pour des opérateurs différentiels hypoelliptiques maximaux sur un espace homogène d'un groupe de Lie nilpotent gradué de range 2. (Construction of a parametrix for maximal hypoelliptic differential operators on a homogeneous space of a graded nilpotent Lie group of rank 2) ⋮ Microlocal regularity on step two nilpotent Lie groups ⋮ Analyticity of relative fundamental solutions and projections for left invariant operators on the Heisenberg group ⋮ On commutative approximate identities on non-graded homogeneous groups ⋮ Parametrix constructions for right invariant differential operators on nilpotent groups ⋮ Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups ⋮ Quantum evolution and sub-Laplacian operators on groups of Heisenberg type ⋮ An example on the Heisenberg group related to the Lewy operator ⋮ Regularizations, decompositions and lower bound problems in the weyl calculus ⋮ Continuity properties in non-commutative convolution algebras, with applications in pseudo-differential calculus
Cites Work
- Characterization of pseudodifferential operator and application
- Hypoellipticity on the Heisenberg group
- On the subelliptic test estimates
- Caracterisation des operateurs hypoelliptiques homogenes
- Parametrices for hypoelliptic operators on step to nilpotent lie groups
- Local solvability and holmogeneous distributions on the heisenberg group
- Hypoellipticite pour des groupes nilpotents de rang de nilpotence 3
- The weyl calculus of pseudo-differential operators
- Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients
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