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.
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Proves uncertainty principles on compact manifolds linking support of spectrally localized functions to spectral cluster cardinality, extends to singular Schrödinger operators, and applies to uniqueness from incomplete spectral data with curvature improvements.
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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.
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Uncertainty Principles, Spectral Localization, and Singular Schr\"odinger Operators on Compact Manifolds
Proves uncertainty principles on compact manifolds linking support of spectrally localized functions to spectral cluster cardinality, extends to singular Schrödinger operators, and applies to uniqueness from incomplete spectral data with curvature improvements.