p-Adic Spherical Coordinates and Their Applications

Abstract

On the space ${\mathbb{Q}}_p^n$, where $p\ne 2$ and $p$ does not divide $n$, we construct a p-adic counterpart of spherical coordinates. As applications, a description of homogeneous distributions on ${\mathbb{Q}}_p^n$ and a skew product decomposition of p-adic Lévy processes are given.

Minor corrections