mathematical analysis

Fractal uncertainty principle over

arXiv:2607.11534

summary

The paper establishes a fractal uncertainty principle for porous subsets of the p‑adic field \(\mathbb{Q}_p\), confirming a conjecture posed by Cohen.

Abstract

We prove a fractal uncertainty principle over for porous sets, resolving a conjecture of Cohen.

10 pages, no figures v2: included direct proof of referenced result, improved clarity, added aknowledgements

Topics & keywords

#fractal uncertainty principle#p-adic analysis#porous sets#harmonic analysis#number theoryfractal uncertainty principleQ_pporous setsCohen conjecturep-adic harmonic analysis
Fractal uncertainty principle over $\mathbb{Q}_p$ · wovepaper