p-Adic spherical coordinates and their applications

On the space Q_pⁿ, where Q_p is the field of p-adic numbers, p ≠ 2, and p does not divide n, we construct a p-adic counterpart of spherical coordinates. As applications, a description of homogeneous distributions on Q_pⁿ and a skew product decomposition of p-adic Lévy processes are given.