The $L^2$ restriction norm of a Maass form on $SL_{n+1}(\mathbb{Z})$

TL;DR

This paper investigates bounds for the $L^2$ restriction norm of Maass forms on higher rank groups, providing insights into their size and behavior on submanifolds.

Contribution

It offers new upper and lower bounds for the $L^2$ restriction norm of Maass forms on $ ext{SL}_{n+1}(b{Z})$, advancing understanding of their restriction properties.

Findings

Established bounds for the $L^2$ restriction norm.

Compared upper and lower bounds to understand the norm's behavior.

Provided theoretical insights into Maass form restrictions.

Abstract

We discuss upper and lower bounds for the $L^2$ restriction norm of a Maass form on $\SL{n+1}{Z}$.