p-Adic Spherical Coordinates and Their Applications

Anatoly N. Kochubei

Published 2008-12-31, updated 2009-08-23Version 2

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 L\'evy processes are given.