| Abstract: |
| Let $D$ be a bounded open subset of $\mathbb{R}^N$ and let $z_0$ be a point of $D$. Assume that the Newtonian potential of $D$ is proportional outside $D$ to the potential of a mass concentrated at $z_0$. Then $D$ is a Euclidean ball centred at $z_0$. This theorem, proved by Aharonov, Shiffer and Zalcman in 1981, was extended to the caloric setting by Suzuki and Watson in 2001. In this talk we extend the Suzuki--Watson Theorem to a class of hypoellliptic operators of Kolmogorov-type. |
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