Global hypoellipticity and global solvability for vector fields on compact Lie groups
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Publication:2215819
DOI10.1016/j.jfa.2020.108806zbMath1465.35381arXiv1910.00059OpenAlexW2978160716MaRDI QIDQ2215819
Alexandre Kirilov, Wagner A. A. de Moraes, Michael Ruzhansky
Publication date: 14 December 2020
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.00059
Analysis on other specific Lie groups (43A80) Hypoelliptic equations (35H10) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Equations in function spaces; evolution equations (58D25)
Related Items (6)
Globally hypoelliptic triangularizable systems of periodic pseudo‐differential operators ⋮ Global operator calculus on spin groups ⋮ Global properties of vector fields on compact Lie groups in Komatsu classes. II: Normal forms ⋮ Global analytic hypoellipticity for a class of evolution operators on \(\mathbb{T}^1 \times \mathbb{S}^3\) ⋮ Global properties of vector fields on compact Lie groups in Komatsu classes ⋮ Regularity of solutions to a Vekua-type equation on compact Lie groups
Cites Work
- Quantization on nilpotent Lie groups
- Invariant distributions for homogeneous flows and affine transformations
- On multipliers on compact Lie groups
- Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces
- Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity
- Quantization of pseudo-differential operators on the torus
- On certain non-hypoelliptic vector fields with finite-codimensional range on the three-torus
- Globally hypoelliptic vector fields
- Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields
- Global solvability and hypoellipticity on the torus for a class of differential operators with variable coefficients
- Perturbations of globally hypoelliptic operators
- Global hypoellipticity for first-order operators on closed smooth manifolds
- Fourier multipliers, symbols, and nuclearity on compact manifolds
- On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators
- Global regularity and solvability of left-invariant differential systems on compact Lie groups
- Partial Fourier series on compact Lie groups
- Global hypoellipticity for strongly invariant operators
- Perturbations of globally hypoelliptic operators on closed manifolds
- Globally hypoelliptic systems of vector fields
- Global analytic and Gevrey hypoellipticity of sublaplacians under Diophantine conditions
- Eigenfunction expansions of ultradifferentiable functions and ultradistributions
- Global hypoellipticity, global solvability and normal form for a class of real vector fields on a torus and application
- Global Solvability for a Class of Complex Vector Fields on the Two-Torus
- On 𝐶^{∞} and Gevrey regularity of sublaplacians
- On the Greenfield-Wallach and Katok conjectures
- Pseudo-Differential Operators and Symmetries
- Globally Hypoelliptic Vector Fields on Compact Surfaces
- Globally Hypoelliptic and Globally Solvable First Order Evolution Equations
- Remarks about global analytic hypoellipticity
- Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations
- Hypoelliptic vector fields and almost periodic motions on the torus Tn
- Remarks on Global Hypoellipticity
- Global Quantization of Pseudo-Differential Operators on Compact Lie Groups, SU(2), 3-sphere, and Homogeneous Spaces
- Integro-Differential Operators on Vector Bundles
- Fourier Series on Compact Lie Groups
- Global Hypoellipticity and Liouville Numbers
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