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math.CA2026
The Kakeya problem for codimension-two planes in
Chun-Kit Lai, Yixuan Pang, Rahul Sethi +1
We study the -plane Kakeya problem in () subject to convex Wolff axioms. In other words, we study finite families of -neighborhoods of -plan…
math.CA2026
Quantitative Uniqueness and Rough Damping on
Benjamin Jaye, Rahul Sethi
Motivated by a conjecture of Burq and Gérard, we investigate quantitative uniqueness principles for functions on whose Fourier spectra lie in fixed-width annuli. We o…
math.CA2025★ 2 cited
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 we consider an analogue of t…