Formulas for Hadamard coefficients in terms of Green's operators

Lennart Ronge

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arXiv · 2604.25763

Formulas for Hadamard coefficients in terms of Green's operators

Lennart Ronge

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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.

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Lennart Ronge. 2026-04-28. Formulas for Hadamard coefficients in terms of Green's operators. https://arxiv.org/abs/2604.25763

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