Rahul Sethi

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20242026

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math.CA2026

Quantitative Uniqueness and Rough Damping on $T^{2}$

Benjamin Jaye, Rahul Sethi

Motivated by a conjecture of Burq and Gérard, we investigate quantitative uniqueness principles for functions on $T^{2}$ whose Fourier spectra lie in fixed-width annuli. We o…

math.CA2025

A High-Frequency Uncertainty Principle for the Fourier-Bessel Transform

Benjamin Jaye, Rahul Sethi

Motivated by problems in control theory concerning decay rates for the damped wave equation $w_{tt} (x, t) + γ (x) w_{t} (x, t) + (- Δ + 1)^{s /2} w (x, t) = 0,$ we consider an analogue of t…

Quantitative Uniqueness and Rough Damping on T2

A High-Frequency Uncertainty Principle for the Fourier-Bessel Transform

Quantitative Uniqueness and Rough Damping on $T^{2}$