2020/06/23 by Marianna Chatzakou, Chatzakou, Marianna
Chemistry · Mathematics · #Advanced Algebra and Geometry #Advanced Banach Space Theory #Advanced Topics in Algebra #Algebra over a field #Analysis of PDEs (math.AP) #Calculus (dental) #Chemistry #Differential (mechanical device) #Differential calculus #Econometrics #Engel curve #FOS: Mathematics #Finite Group Theory Research #Group (periodic table) #Heisenberg group #Lambda #Lie group #Mathematical Analysis and Transform Methods #Mathematics #Nilpotent #Organic chemistry #Physics #Pure mathematics #Quantum mechanics #math.AP
paper · pdf · open access · doi:10.48550/arxiv.2006.12888
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2020/06/23 · arxiv created 2021/05/28 · arxiv updated 2021/05/31 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
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) on the Engel group, while for the case of the Heisenberg group we recall the analogous results on the λ-classes of symbols.