Non-Archimedean Kelvin Transformation

  • A. V. Antoniouk Institute of Mathematics, National Academy of Sciences of Ukraine Kyiv, Ukraine American University Kyiv Kyiv, Ukraine
  • A. N. Kochubei Institute of Mathematics, National Academy of Sciences of Ukraine Kyiv, Ukraine
Keywords: p-adic fields, potential theory, sub-elliptic equations, Kelvin transform

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 $K^n$ over a non-Archimedean local field $K$.

Author Biographies

A. V. Antoniouk, Institute of Mathematics, National Academy of Sciences of Ukraine Kyiv, Ukraine American University Kyiv Kyiv, Ukraine

Institute of Mathematics, National Academy of Sciences of Ukraine
Kyiv, Ukraine
American University Kyiv
Kyiv, Ukraine

A. N. Kochubei, Institute of Mathematics, National Academy of Sciences of Ukraine Kyiv, Ukraine

Institute of Mathematics, National Academy of Sciences of Ukraine
Kyiv, Ukraine

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Published
2026-03-25
How to Cite
Antoniouk, A. V., & Kochubei, A. N. (2026). Non-Archimedean Kelvin Transformation. Matematychni Studii, 65(1), 10-14. https://doi.org/10.30970/ms.65.1.10-14
Section
Articles