Pointwise character bounds for $\mathrm{SU}(3)$

Abstract

We present a basic pointwise bound for the irreducible characters of $\mathrm{SU}(3)$ and, as an application, derive new $L^p$ bounds for these characters. Our approach is based on the descent of characters to singular sets and the cancellation in this formula.

arXiv commentJournal version after minor revision. Comments are welcome!