Intrinsic volumes of ${\ell }_p$-balls and a continuum of Maxwell--Poincaré--Borel laws for their curvature measures

Zakhar Kabluchko, Alexander Marynych, Joscha Prochno

For $p>1$, we derive explicit formulas for the intrinsic volumes $V_0({\mathbb{B}}_p^n),\dots ,V_{n-1}({\mathbb{B}}_p^n)$ of the $n$-dimensional ${\ell }_p$-balls $$ \mathbb B_p^n = \{x\in\m…