English

Spectral estimates and asymptotics for stratified Lie groups

Functional Analysis 2022-02-01 v1

Abstract

We study Cwikel-type estimates for the singular values and Schatten Lp\mathcal{L}_p-norms of compositions of multiplication and convolution operators acting on stratified Lie groups. This enables us to obtain novel spectral asymptotic formulas for certain operators derived from sub-Laplacians.

Keywords

Cite

@article{arxiv.2201.12349,
  title  = {Spectral estimates and asymptotics for stratified Lie groups},
  author = {Edward McDonald and Fedor Sukochev and Dmitriy Zanin},
  journal= {arXiv preprint arXiv:2201.12349},
  year   = {2022}
}

Comments

37 pages

R2 v1 2026-06-24T09:08:00.498Z