50 citations · 340 across the 37 of their papers we have counts for
38 papers
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…
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…
Beyond the Hodge Theorem: curl and asymmetric pseudodifferential projections
Matteo Capoferri, Dmitri Vassiliev
We develop a new approach to the study of spectral asymmetry. Working with the operator on a connected oriented closed Riemannian 3-manifold, we…
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…
Topological obstructions to the diagonalisation of pseudodifferential systems
Matteo Capoferri, Grigori Rozenblum, Nikolai Saveliev +1
Given a matrix pseudodifferential operator on a smooth manifold, one may be interested in diagonalising it by choosing eigenvectors of its principal symbol in a smooth manner. We s…
Invariant subspaces of elliptic systems II: spectral theory
Matteo Capoferri, Dmitri Vassiliev
Consider an elliptic self-adjoint pseudodifferential operator acting on -columns of half-densities on a closed manifold , whose principal symbol is assumed to have simple…