English

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

Representation Theory 2026-04-21 v1 Classical Analysis and ODEs Spectral Theory

Abstract

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

Keywords

Cite

@article{arxiv.2604.17589,
  title  = {Pointwise character bounds for $\mathrm{SU}(3)$},
  author = {Yunfeng Zhang},
  journal= {arXiv preprint arXiv:2604.17589},
  year   = {2026}
}

Comments

20 pages. Comments are welcome!

R2 v1 2026-07-01T12:17:13.257Z