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Bibliographic Details
Main Authors:	Zhao, Xingyu, Xu, Hui, Duan, Zhiwen
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs
Online Access:	https://arxiv.org/abs/2605.18021
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In this paper, we establish unique continuation inequalities at two time points for the Dunkl--Schrödinger equation. The proof is based on quantitative uncertainty principles for the Dunkl transform. In particular, we prove that pairs of (\varepsilon,k)-thin sets form strong annihilating pairs for the Dunkl transform, which yields quantitative unique continuation properties for solutions to the Dunkl--Schrödinger equation.