2 papers
math.AP2026
Trace estimates and improved pointwise bounds for joint eigenfunctions
Xianchao Wu, Xiao Xiao
For -normalized joint eigenfunctions in a quantum integrable system, [GT20] gave polynomial improvements over the standard Hömander bounds for typical points. In this paper,…
math.AP2026
Average estimate for Eigenfunctions along geodesics in the quantum completely integrable case
Weiwei Wang, Xianchao Wu
This paper investigates the upper bound of the integral of -normalized joint eigenfunctions over geodesics in a two-dimensional quantum completely integrable system. For admis…