Trace estimates and improved pointwise bounds for joint eigenfunctions
Analysis of PDEs
2026-04-27 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
For -normalized joint eigenfunctions in a quantum integrable system, [GT20] gave polynomial improvements over the standard H\"omander bounds for typical points. In this paper, we improve their result by establishing a sharp bound of for the points satisfying a rank non-degeneracy condition.
Keywords
Cite
@article{arxiv.2604.22197,
title = {Trace estimates and improved pointwise bounds for joint eigenfunctions},
author = {Xianchao Wu and Xiao Xiao},
journal= {arXiv preprint arXiv:2604.22197},
year = {2026}
}
Comments
22 pages, 2 figures