3 papers
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
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…
math.FA2024
On Simultaneous Triangularization of Matrices and Quasinilpotency of Commutator of Compact Operators
Sasmita Patnaik, Rahul Sethi
In this paper we determine a sufficient condition for the quasinilpotency of a commutator of compact operators via block-tridiagonal matrix form associated with a compact operator.…