On non-Archimedean and motivic distributions defined by kernels

Téofil Adamski

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arXiv · 2603.29417

On non-Archimedean and motivic distributions defined by kernels

Téofil Adamski

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Abstract

As in real microlocal analysis, we prove a Schwartz kernel theorem for $p$-adic distributions. We extend this result for motivic distributions using Cluckers-Loeser's motivic integration. In both settings, we give also a relation between the wave front sets of the distribution and its kernel.

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Téofil Adamski. 2026-03-31. On non-Archimedean and motivic distributions defined by kernels. https://arxiv.org/abs/2603.29417

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