Chamsol Park

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math.AP2026

Uncertainty Principles, Spectral Localization, and Singular SchrÃ¶dinger 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.AP2024

$L^{p} - L^{q}$ 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…

math.AP2024

$L^{q}$ Estimates on the Restriction of SchrÃ¶dinger Eigenfunctions with singular potentials

Matthew D. Blair, Chamsol Park

We consider eigenfunction estimates in $L^{p}$ for SchrÃ¶dinger operators, $H_{V} = - I^_{g} + V (x)$ , on compact Riemannian manifolds $(M, g)$ . Eigenfunction estimates over the full manifolds…

Uncertainty Principles, Spectral Localization, and Singular SchrÃ¶dinger Operators on Compact Manifolds

Lp−Lq resolvent restriction estimates for submanifolds

Lq Estimates on the Restriction of SchrÃ¶dinger Eigenfunctions with singular potentials

$L^{p} - L^{q}$ resolvent restriction estimates for submanifolds

$L^{q}$ Estimates on the Restriction of SchrÃ¶dinger Eigenfunctions with singular potentials