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 $$w_{tt}(x,t)+\gamma (x)w_t(x,t)+(-\Delta +1{)}^{s/2}w(x,t)=0,$$ we consider an analogue of t…