Iana Vranesko

collaborators

Showing math.CAShow all

3 papers · 1 filter

math.CA2026

A counterexample to the Gowers $U^{k}$ uncertainty conjecture for $k \geq 6$

Iana Vranesko

The Donoho--Stark uncertainty principle asserts $N^{d} \leq ∣ E ∣ ∣Σ∣$ , and the additive energy uncertainty principle of Aldahleh--Iosevich--Iosevich--Jaimangal--Mayeli--Pack refines it…

math.CA2025

Signal recovery using Gabor frames

Ivan Bortnovskyi, June Duvivier, Xiaoyao Huang +9

We present a novel probabilistic framework for the recovery of discrete signals with missing data, extending classical Fourier-based methods. While prior results, such as those of…

math.CA2025

Refined additive uncertainty principle

Ivan Bortnovskyi, June Duvivier, Alex Iosevich +8

Signal recovery from incomplete or partial frequency information is a fundamental problem in harmonic analysis and applied mathematics, with wide-ranging applications in communicat…

A counterexample to the Gowers Uk uncertainty conjecture for k≥6

Signal recovery using Gabor frames

Refined additive uncertainty principle

A counterexample to the Gowers $U^{k}$ uncertainty conjecture for $k \geq 6$