On the Skitovich--Darmois theorem for the group of p-adic numbers

Gennadiy Feldman

Let ${\Omega }_p$ be the group of $p$-adic numbers, ${\xi }_1$ and ${\xi }_2$ be independent random variables with values in ${\Omega }_p$ and distributions ${\mu }_1$ and ${\mu }_2$. Let ${\alpha }_j,{\beta }_j$ be topological a…