Global Solvability on Compact Heisenberg Manifolds

DOI10.2307/1999207zbMath0503.35003OpenAlexW4253455159MaRDI QIDQ3969240

Leonard F. Richardson

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1999207

zbMATH Keywords

global solvabilitycompact Heisenberg manifoldsprimary solutions

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Linear first-order PDEs (35F05) Nilpotent and solvable Lie groups (22E25)

Related Items (5)

Global Solvability on Two-Step Compact Nilmanifolds ⋮ Résolubilité d'équations différentielles et représentation induites. (Solubility of differential equations and induced representations) ⋮ Leafwise flat forms on Inoue-Bombieri surfaces ⋮ A counterexample to smooth leafwise Hodge decomposition for general foliations and to a type of dynamical trace formulas ⋮ Global Solvability on Compact Nilmanifolds of Three or More Steps

Cites Work

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• A class of idempotent measures on compact nilmanifolds
• Abelian harmonic analysis, theta functions and function algebras on a nilmanifold
• Integral formulas with distribution kernels for irreducible projections in \(L^2\) of a nilmanifold
• Uniform distribution in solvmanifolds
• Flows on some three dimensional homogeneous spaces
• Local Solvability of Constant Coefficient Partial Differential Equations as a Small Divisor Problem
• A canonical formula for the distribution kernels of primary projections in L2 of a nilmanifold
• Decomposition of the L 2 -Space of a General Compact Nilmanifold

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