Formulas for Hadamard coefficients in terms of Green's operators
Differential Geometry
2026-04-29 v1 Spectral Theory
Abstract
We describe various ways of obtaining the Hadamard coefficients associated to a normally hyperbolic operator from the corresponding Green's operators. As the Hadamard expansion on its own is not enough for this, we include additional information either by considering something like a resolvent or powers of Green's operators or by looking at a product of the original manifold with the real line.
Cite
@article{arxiv.2604.25763,
title = {Formulas for Hadamard coefficients in terms of Green's operators},
author = {Lennart Ronge},
journal= {arXiv preprint arXiv:2604.25763},
year = {2026}
}