4 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…
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…
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…
Victor Borisovich Lidskii (1924-2008)
Michael Levitin, Dmitri Vassiliev
This is the editors' preface to the volume "Operator theory and its applications, in memory of V. B. Lidskii (1924-2008)". The volume was published by the American Mathematical Soc…