Inverses and Parametrices for Right-Invariant Pseudodifferential Operators on Two-Step Nilpotent Lie Groups

DOI10.2307/1999643zbMath0545.35098OpenAlexW4237484156MaRDI QIDQ3334340

Kenneth G. Miller

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999643

zbMATH Keywords

parametrixleft inverseKirillov theorytwo-step nilpotent Lie groupsright invariant pseudo-differential operator

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Nilpotent and solvable Lie groups (22E25)

Related Items (4)

Microlocal regularity on step two nilpotent Lie groups ⋮ Quantization and Coorbit Spaces for Nilpotent Groups ⋮ Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits ⋮ Berezin-type operators on the cotangent bundle of a nilpotent group

Cites Work

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• Invariant pseudodifferential operators on two step nilpotent Lie groups
• Besov spaces and Sobolev spaces on a nilpotent Lie group
• Hypoellipticite analytique sur des groupes nilpotents de rang 2
• Subelliptic estimates and function spaces on nilpotent Lie groups
• A general calculus of pseudodifferential operators
• Characterization of pseudodifferential operator and application
• Hypoellipticity on the Heisenberg group
• Hypoelliptic second order differential equations
• Caracterisation des operateurs hypoelliptiques homogenes
• Parametrices for hypoelliptic operators on step to nilpotent lie groups
• Inversion of analytic matrices and local solvability of some invariant differential operators on nilpotent lie groups
• Parametrix constructions for some classes of right-invariant differential operators on the heisenberg group
• Local solvability and holmogeneous distributions on the heisenberg group
• Hypoellipticity on the Heisenberg Group-Representation-Theoretic Criteria
• Hypoellipticite pour des groupes nilpotents de rang de nilpotence 3
• The weyl calculus of pseudo-differential operators

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