Fractal uncertainty principle over $\mathbb{Q}_p$

Valentino Badalucco; Leonardo Franchi

Fractal uncertainty principle over $\mathbb{Q}_p$

Functional Analysis 2026-07-13 v1 Classical Analysis and ODEs Number Theory

Authors: Valentino Badalucco , Leonardo Franchi

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Abstract

We prove a fractal uncertainty principle over $\mathbb{Q}_p$ for porous sets, resolving a conjecture of Cohen.

Cite

@article{arxiv.2607.11534,
  title  = {Fractal uncertainty principle over $\mathbb{Q}_p$},
  author = {Valentino Badalucco and Leonardo Franchi},
  journal= {arXiv preprint arXiv:2607.11534},
  year   = {2026}
}

Comments

9 pages, no figures