Resolvents of cone pseudodifferential operators, asymptotic expansions and applications
Spectral Theory
2023-10-24 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.math/0604338,
title = {Resolvents of cone pseudodifferential operators, asymptotic expansions and applications},
author = {Juan B. Gil and Paul A. Loya},
journal= {arXiv preprint arXiv:math/0604338},
year = {2023}
}
Comments
30 pages, 5 figures