Non-Archimedean Kelvin Transformation
Number Theory
2025-11-06 v1 Functional Analysis
Abstract
We introduce and study an analog of the Kelvin transformation connected with the Vladimirov-Taibleson operator acting on real- or complex-valued functions on a space over a non-Archimedean local field .
Cite
@article{arxiv.2511.02858,
title = {Non-Archimedean Kelvin Transformation},
author = {Alexandra V. Antoniouk and Anatoly N. Kochubei},
journal= {arXiv preprint arXiv:2511.02858},
year = {2025}
}