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math.AP2024
Pointwise Weyl Laws for Quantum Completely Integrable Systems
Suresh Eswarathasan, Allan Greenleaf, Blake Keeler
The study of the asymptotics of the spectral function for self-adjoint, elliptic differential, or more generally pseudodifferential, operators on a compact manifold has a long hist…
math.AP2024
Asymptotics for the spectral function on Zoll manifolds
Yaiza Canzani, Jeffrey Galkowski, Blake Keeler
Let be a Zoll manifold, i.e., a smooth, compact, Riemannian manifold without boundary all of whose geodesics are closed with a minimal common period . The positive defin…