The sup-norm problem for automorphic cusp forms of $\mathrm{PGL}(n,\mathbb{Z}[i])$

Péter Maga, Gergely Zábrádi

Let $\varphi$ be an $L^2$-normalized Hecke--Maaß cusp form for ${\mathrm{PGL}}_n(\mathbb{Z}[i])$ on the locally symmetric space $X:=\mathrm{PGL}_n(\mathbb{Z}[i])\backslash \mathrm{PGL}_n(\…