3 papers
math.AP2026
Uncertainty Principles, Spectral Localization, and Singular Schrödinger Operators on Compact Manifolds
Alex Iosevich, Chamsol Park
We establish uncertainty principles on compact Riemannian manifolds without boundary by combining restriction estimates for orthonormal systems with spectral projection bounds for…
math.CA2026
Uncertainty principles and singular potentials
A. Iosevich, C. Park
We establish uncertainty principles on compact Riemannian manifolds without boundary in the setting of Laplace-Beltrami operators, including the case of real-valued singular potent…
math.AP2024
resolvent restriction estimates for submanifolds
Matthew D. Blair, Chamsol Park
We consider restriction analogues on hypersurfaces of the uniform Sobolev inequalities in Kenig, Ruiz, and Sogge and the resolvent estimates in Dos Santos Ferreira, Kenig, and Salo…