Resolvents of cone pseudodifferential operators, asymptotic expansions and applications
Juan B. Gil, Paul A. Loya
Abstract
We study the structure and asymptotic behavior of the resolvent of elliptic cone pseudodifferential operators acting on weighted Sobolev spaces over a compact manifold with boundary. We obtain an asymptotic expansion of the resolvent as the spectral parameter tends to infinity, and use it to derive corresponding heat trace and zeta function expansions as well as an analytic index formula.
Create a lesson
Related papers
Arbitrarily Fast Quantum Dispersion in Long-Range Crystals
Gaétan Leclerc, Mostafa Sabri, Tuomas Sahlsten
On the Real Spectum of the One-Dimensional Dirac Operator with PT-Symmetric Coefficients
O. A. Veliev
Decay estimates for the Schrödinger operators with electro-magnetic potentials in dimension two with obstructions at zero energy
Lei Wei
Weyl's law and Pólya's conjecture for the Vladimirov-Taibleson operator
Yaojia Sun
Uniform Resolvent Estimates for the Discrete Schrödinger Operator in Higher Dimensions
Yuda Chen
An elementary counterexample to Escobar's Steklov conjecture on the three-ball
Alexandre Girouard, Thomas Hélière