The Failure of the Fractal Uncertainty Principle for the Walsh–Fourier Transform

Ciprian Demeter ()
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Ciprian Demeter: Indiana University, Department of Mathematics

A chapter in Analysis at Large, 2022, pp 17-28 from Springer

Abstract: Abstract We construct δ-regular sets with δ ≥ 1 2 $$\delta \ge \frac 12$$ for which the analog of the Bourgain–Dyatlov fractal uncertainty principle fails for the Walsh–Fourier transform.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-05331-3_2

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DOI: 10.1007/978-3-031-05331-3_2

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