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math.CA2025
The Fourier Ratio and complexity of signals
K. Aldaleh, W. Burstein, G. Garza +12
We study the Fourier ratio of a signal , \[ \mathrm{FR}(f)\ :=\ \sqrt{N}\,\frac{\|\widehat f\|_{L^1(μ)}}{\|\widehat f\|_{L^2(μ)}} \ =\ \frac{\|\widehat…
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…
math.CA2025
Additive energy, uncertainty principle and signal recovery mechanisms
K. Aldahleh, A. Iosevich, J. Iosevich +3
Given a signal , where is a finite abelian group, under what reasonable assumptions can we guarantee the exact recovery of from a proper subset of its Fou…