On the volume of convolution bodies in the plane

J. Haddad

For every convex body $K\subset {\mathbb{R}}^n$ and $\delta \in (0,1)$, the $\delta$-convolution body of $K$ is the set of $x\in {\mathbb{R}}^n$ for which $\left|K \cap (K+x)\right|_n \geq δ\left…