Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces
C. Lutsko, T. Weich, L.L. Wolf, Duke Math. Journal (to appear) (2026).
Download
No fulltext has been uploaded.
Journal Article
| English
Author
Department
Abstract
Given a real semisimple connected Lie group $G$ and a discrete torsion-free
subgroup $\Gamma < G$ we prove a precise connection between growth rates of the
group $\Gamma$, polyhedral bounds on the joint spectrum of the ring of
invariant differential operators, and the decay of matrix coefficients. In
particular, this allows us to completely characterize temperedness of
$L^2(\Gamma\backslash G)$ in this general setting.
Publishing Year
Journal Title
Duke Math. Journal
Volume
(to appear)
LibreCat-ID
Cite this
Lutsko C, Weich T, Wolf LL. Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces. Duke Math Journal . 2026;(to appear).
Lutsko, C., Weich, T., & Wolf, L. L. (2026). Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces. Duke Math. Journal , (to appear).
@article{Lutsko_Weich_Wolf_2026, title={Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces}, volume={(to appear)}, journal={Duke Math. Journal }, author={Lutsko, Christopher and Weich, Tobias and Wolf, Lasse Lennart}, year={2026} }
Lutsko, Christopher, Tobias Weich, and Lasse Lennart Wolf. “Polyhedral Bounds on the Joint Spectrum and Temperedness of Locally Symmetric Spaces.” Duke Math. Journal (to appear) (2026).
C. Lutsko, T. Weich, and L. L. Wolf, “Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces,” Duke Math. Journal , vol. (to appear), 2026.
Lutsko, Christopher, et al. “Polyhedral Bounds on the Joint Spectrum and Temperedness of Locally Symmetric Spaces.” Duke Math. Journal , vol. (to appear), 2026.
arXiv 
Google Scholar