Hadamard expansions for powers of causal Green's operators and "resolvents''

Lennart Ronge

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arXiv · 2304.03011

Hadamard expansions for powers of causal Green's operators and "resolvents''

Lennart Ronge

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Abstract

We derive an asymptotic expansion analogous to the Hadamard expansion for powers of advanced/retarded Green's operators associated to a normally hyperbolic operator $P$, as well as expansions for advanced/retarded Green's operators associated to $P-z$ for $z\in \mathbb{C}$. These expansions involve the same Hadamard coefficients as the original Hadamard expansion.

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Lennart Ronge. 2023-04-06. Hadamard expansions for powers of causal Green's operators and "resolvents''. https://arxiv.org/abs/2304.03011

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