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math.AP2026
Jost solutions and direct scattering for the continuum Calogero-Moser equation
Rupert L. Frank, Larry Read
We propose an inverse scattering transform for the continuum Calogero-Moser equation. We give a rigorous treatment of the direct scattering problem by constructing the associated J…
math.AP2025
Sharp quantitative integral inequalities for harmonic extensions
Rupert L. Frank, Jonas W. Peteranderl, Larry Read
We prove a quantitative version of a sharp integral inequality by Hang, Wang, and Yan for both the Poisson operator and its adjoint. Our result has the strongest possible norm and…
math.AP2024
Concentration of eigenfunctions on singular Riemannian manifolds
Charlotte Dietze, Larry Read
We consider a compact Riemannian manifold with boundary and a metric that is singular at the boundary. The associated Laplace-Beltrami operator is of the form of a Grushin operator…