Manuscript XX-B@1 · XX-B.tex · section · 56d708a5

Reduced inverses

Retarded and advanced Green distributions › Reduced inverses · lines 953–968

The corresponding distribution kernels use the background volume normalization:

B_{x} G_{B}^{\pm} (x, y) = δ_{g ˉ} (x, y) id_{V}, Q_{x} G_{Q}^{\pm} (x, y) = δ_{g ˉ} (x, y) id_{W} .

In the displayed coordinates,

δ_{g ˉ} (x, y) = a (t_{y})^{- 3} δ (t_{x} - t_{y}) δ^{3} (x - y) .

Displayed formulas in this passage

unlabeled · line 957
$B_{x} G_{B}^{\pm} (x, y) = δ_{g ˉ} (x, y) id_{V}, Q_{x} G_{Q}^{\pm} (x, y) = δ_{g ˉ} (x, y) id_{W} .$
unlabeled · line 964
$δ_{g ˉ} (x, y) = a (t_{y})^{- 3} δ (t_{x} - t_{y}) δ^{3} (x - y) .$