Remarks on Global Hypoellipticity
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Publication:5182580
DOI10.2307/1996464zbMath0274.35018OpenAlexW4255670597MaRDI QIDQ5182580
Nolan R. Wallach, Stephen J. Greenfield
Publication date: 1973
Full work available at URL: https://doi.org/10.2307/1996464
Related Items (17)
Global ultradifferentiable hypoellipticity on compact manifolds ⋮ Global Solvability on Two-Step Compact Nilmanifolds ⋮ Abelian actions with globally hypoelliptic leafwise Laplacian and rigidity ⋮ Global hypoellipticity for first-order operators on closed smooth manifolds ⋮ Fourier multipliers, symbols, and nuclearity on compact manifolds ⋮ Partial Fourier series on compact Lie groups ⋮ Global solvability and propagation of regularity of sums of squares on compact manifolds ⋮ Elliptic involutive structures on compact Lie groups ⋮ On globally hypoelliptic abelian actions and their existence on homogeneous spaces ⋮ Unexpected spectral asymptotics for wave equations on certain compact spacetimes ⋮ Global hypoellipticity and global solvability for vector fields on compact Lie groups ⋮ Kernel and symbol criteria for Schatten classes and \(r\)-nuclearity on compact manifolds ⋮ Schatten classes on compact manifolds: kernel conditions ⋮ Global regularity and solvability of left-invariant differential systems on compact Lie groups ⋮ Global hypoellipticity for strongly invariant operators ⋮ Global properties of vector fields on compact Lie groups in Komatsu classes ⋮ Perturbations of globally hypoelliptic operators on closed manifolds
Cites Work
- Globally hypoelliptic vector fields
- Hypoelliptic second order differential equations
- Integro-Differential Operators on Vector Bundles
- Eigenfunction Expansions of Analytic Functions
- Solution élémentaire d'un opérateur différentiel linéaire invariant à gauche sur un groupe de Lie réel compact et sur un espace homogène réductif compact
- Global Hypoellipticity and Liouville Numbers
- Hypoelliptic Vector Fields and Continued Fractions
- An Invariant Criterion of Hypoellipticity
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