Manuscript IX-D-ST@1 · IX-D-ST.tex · section · b1dc631a

A specified flat realization and the solid-ball correction

A specified flat realization and the solid-ball correction · lines 2011–2025

This explicit formula represents the local flat response. It supplies no conical Green operator.

For compact $F$ in positive times, define

S_{F} = {z : \exists (t, x) \in F, ∣ z - x ∣ = t},

N_{F} = {(v, z) : \exists (t, x) \in F, 0 \leq v \leq t, ∣ z - x ∣ = t - v} .

Displayed formulas in this passage

unlabeled · line 2017
$S_{F} = {z : \exists (t, x) \in F, ∣ z - x ∣ = t},$
unlabeled · line 2021
$N_{F} = {(v, z) : \exists (t, x) \in F, 0 \leq v \leq t, ∣ z - x ∣ = t - v} .$