Ukrainian mathematical congress - 2009

Anatoly N. Kochubei (Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine)

p-Adic spherical coordinates and their applications

On the space Qpn, where Qp 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 Qpn and a skew product decomposition of p-adic Lévy processes are given.