Spectral estimates and asymptotics for stratified Lie groups
Edward McDonald, Fedor Sukochev, Dmitriy Zanin

TL;DR
This paper develops spectral estimates and asymptotic formulas for operators on stratified Lie groups, enhancing understanding of their spectral properties and extending classical results to a broader geometric context.
Contribution
It introduces new spectral asymptotic formulas for operators related to sub-Laplacians on stratified Lie groups, using Cwikel-type estimates for singular values.
Findings
Derived novel spectral asymptotics for sub-Laplacian related operators
Established Cwikel-type estimates for singular values on stratified Lie groups
Extended classical spectral results to a non-commutative geometric setting
Abstract
We study Cwikel-type estimates for the singular values and Schatten -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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations
