Stability versions of uncertainty principles are established on compact Riemannian manifolds for singular potentials by replacing homogeneity with a quantitative spectral condition, producing sharp bounds that quantify deterioration from the classical case.
Sogge,Concerning theL p norm of spectral clusters for second-order elliptic operators on compact manifolds, J
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Uncertainty principles and singular potentials
Stability versions of uncertainty principles are established on compact Riemannian manifolds for singular potentials by replacing homogeneity with a quantitative spectral condition, producing sharp bounds that quantify deterioration from the classical case.