English

On $(\lambda,\mu)$-classes on the Engel group

Analysis of PDEs 2021-05-31 v2

Abstract

The purpose of this note is to compare the properties of the symbolic pseudo-differential calculus on the Heisenberg and on the Engel groups; nilpotent Lie groups of 2-step and 3-step, respectively. Here we provide a preliminary analysis of the structure and of the symbolic calculus with symbols parametrized by (λ,μ)(\lambda,\mu) on the Engel group, while for the case of the Heisenberg group we recall the analogous results on the λ\lambda-classes of symbols.

Keywords

Cite

@article{arxiv.2006.12888,
  title  = {On $(\lambda,\mu)$-classes on the Engel group},
  author = {Marianna Chatzakou},
  journal= {arXiv preprint arXiv:2006.12888},
  year   = {2021}
}
R2 v1 2026-06-23T16:33:02.644Z