Criteria for Solvability of Left Invariant Operators on Nilpotent Lie Groups

DOI10.2307/1999602zbMath0526.22009OpenAlexW4242595863MaRDI QIDQ3041436

Lawrence J. Corwin

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999602

zbMATH Keywords

dilationsglobal solvabilitytempered fundamental solutionhomogeneous left invariant differential operator

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Differential complexes (58J10)

Related Items

Explicit fundamental solutions for a class of left invariant operators on the nilpotent lie groupG d 1+d 2, Résolubilité d'équations différentielles et représentation induites. (Solubility of differential equations and induced representations), Transference for Banach space representations of nilpotent Lie groups. II. Pedersen multipliers, On Kirillov's lemma for nilpotent Lie algebras, Calderon-Zygmund kernels carried by linear subspaces of homogeneous nilpotent Lie algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An example of a smooth linear partial differential equation without solution
• Local solvability of second order differential operators on nilpotent Lie groups
• Necessary conditions for local solvability of homogeneous left invariant differential operators on nilpotent Lie groups
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Character formulas and spectra of compact nilmanifolds
• A general character formula for irreducible projections on \(L^2\) of a nilmanifold
• Nilpotent Lie groups: Structure and applications to analysis
• On the division of distributions by polynomials
• On the characters and the Plancherel formula of nilpotent groups
• Local Solvability of Left Invariant Differential Operators on the Heisenberg Group
• A Representation-Theoretic Criterion for Local Solvability of Left Invariant Differential Operators on Nilpotent Lie Groups
• Inversion of analytic matrices and local solvability of some invariant differential operators on nilpotent lie groups
• Necessary and sufficient conditions for solvability of the Lewy equation
• Hypoellipticity on the Heisenberg Group-Representation-Theoretic Criteria
• Opérateurs différentiels bi-invariants sur un groupe de Lie
• Square Integrable Representations of Nilpotent Groups
• Resolution of Singularities and Division of Distributions
• A fundamental solution for a subelliptic operator
• Sur le problème de la division
• Convexité pour les opérateurs différentiels invariants sur les groupes de Lie