The failure of the fractal uncertainty principle for the Walsh--Fourier transform

2020/02/21 by Ciprian Demeter, Demeter, Ciprian
Computer Science · Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2002.09529

openalex publication_date 2020/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We construct δ-regular sets with δ≥ \frac12 for which the analog of the Bourgain--Dyatlov Fractal Uncertainty Principle fails for the Walsh--Fourier transform.

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