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math.SP2026
Higher order Weyl coefficients for the operator curl
Giovanni Bracchi, Matteo Capoferri, Dmitri Vassiliev
We establish refined spectral asymptotics for the operator curl acting on a connected oriented closed Riemannian 3-manifold. We treat positive and negative eigenvalues separately a…
math.SP2025
A microlocal pathway to spectral asymmetry: curl and the eta invariant
Matteo Capoferri, Dmitri Vassiliev
The notion of eta invariant is traditionally defined by means of analytic continuation. We prove, by examining the particular case of the operator curl, that the eta invariant can…
math.SP2024
Two-term spectral asymptotics in linear elasticity
Matteo Capoferri, Leonid Friedlander, Michael Levitin +1
We establish the two-term spectral asymptotics for boundary value problems of linear elasticity on a smooth compact Riemannian manifold of arbitrary dimension. We also present some…