Sever Achimescu and Ghiocel Groza: Functions preserving spheres in $\mathbb{Q}_p$, p.11-24

Abstract:

We study functions $f:A\rightarrow \mathbb{Q}_p$, which preserve spheres with center $0$, where $A$ is an open subset of $\mathbb{Q}_p$ which contains $0$.

Key Words: Isometry, Mahler series, analytic function.

2000 Mathematics Subject Classification: Primary: 11S99;
Secondary: 12J25.

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