Heriot Watt

M. Levitin's research is mostly in spectral theory and applications in mechanic s. His main recent results include asymptotic and numerical analysis of spectral problems in domains with non-smooth (fractal) boundaries, existence theorems for embedded eigenvalues in waveguides, computer-assisted analysis of heat invariants and spectral asymptotics for the trace of the heat semigroup, and, most recently, general spectral trace identities for self-adjoint and non-self-adjoint operators and universal estimates for eigenvalues