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arXiv · 0901.0071

p-Adic Spherical Coordinates and Their Applications

Anatoly N. Kochubei
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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.

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Anatoly N. Kochubei. 2009-08-23. p-Adic Spherical Coordinates and Their Applications. https://arxiv.org/abs/0901.0071

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