Asymptotics and zeta functions on compact nilmanifolds

Autor:	Fischer, Veronique
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry Mathematics - Functional Analysis 58J50 58J35 35K08 35P05 53C17 43A85
Druh dokumentu:	Working Paper
Popis:	In this paper, we obtain asymptotic formulae on nilmanifolds $\Gamma \backslash G$, wher $G$ is any stratified (or even graded) nilpotent Lie group equipped with a co-compact discrete subgroup $\Gamma$. We study especially the asymptotics related to the sub-Laplacians naturally coming from the stratified structure of the group $G$ (and more generally any positive Rockland operators when $G$ is graded). We show that the short-time asymptotic on the diagonal of the kernels of spectral multipliers contains only a single non-trivial term. We also study the associated zeta functions. Comment: arXiv admin note: substantial text overlap with arXiv:2101.07027
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.01246 Zobrazit plný text záznamu View this record from Arxiv