Manuscript VI-B@1 · VI-B-v1.tex · section · 33798723

The local analytical domain

The prescribed cone and the supported presentation › The local analytical domain · lines 398–413

VI-B@1#eq:retarded

Write

G_{□, 0} F = - \int_{0}^{t} \frac{sin (( t - s ) ∣ D ∣ )}{∣ D ∣} F (s) d s .

For compact sources supported after $0$ , the Klein–Gordon retarded inverse is

G_{R} (t) = - Θ (t) S_{m} (t) .

These operators are defined on the developing presentation and then pulled back. They are not an intrinsic global conical prescription.

Displayed formulas in this passage

VI-B@1#eq:retarded · line 406
$G_{R} (t) = - Θ (t) S_{m} (t) .$
unlabeled · line 401
$G_{□, 0} F = - \int_{0}^{t} \frac{sin (( t - s ) ∣ D ∣ )}{∣ D ∣} F (s) d s .$