Uniqueness of Stable Processes with Drift

Zhen-Qing Chen, Longmin Wang

Suppose that $d\ge 1$ and $\alpha \in (1,2)$. Let $Y$ be a rotationally symmetric $\alpha$-stable process on ${\mathbb{R}}^d$ and $b$ a ${\mathbb{R}}^d$-valued measurable function on ${\mathbb{R}}^d$ belonging to a certa…