Quantizations on the Engel and the Cartan groups
From MaRDI portal
Publication:5001455
zbMath1470.35454arXiv2003.10744MaRDI QIDQ5001455
Publication date: 19 July 2021
Full work available at URL: https://arxiv.org/abs/2003.10744
Pseudodifferential operators as generalizations of partial differential operators (35S05) Analysis on real and complex Lie groups (22E30) Hypoelliptic equations (35H10) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Related Items
Fractional Schrödinger equations with singular potentials of higher order. II: Hypoelliptic case ⋮ The heat equation with singular potentials. II: Hypoelliptic case ⋮ Spectral summability for the quartic oscillator with applications to the Engel group ⋮ Geometric Hardy inequalities on starshaped sets ⋮ \(q\)-Poincaré inequalities on Carnot groups with filiform type Lie algebra ⋮ On a class of anharmonic oscillators ⋮ Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case ⋮ A note on spectral multipliers on Engel and Cartan groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantization on nilpotent Lie groups
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Hypoelliptic differential operators and nilpotent groups
- Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups
- Phase-space analysis and pseudodifferential calculus on the Heisenberg group
- Sur Les Représentations Unitaires Des Groupes De Lie Nilpotents. III
- Pseudo-Differential Operators and Symmetries
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Geometric dynamics of a harmonic oscillator, arbitrary minimal uncertainty states and the smallest step 3 nilpotent Lie group
- A Pseudo-differential Calculus on Graded Nilpotent Lie Groups