Manuscript Em02-A@6 · Em02-A-v6.tex · section · cb2f0a9a

Route A: the complete origin contribution and its cross-check

Route A: the complete origin contribution and its cross-check · lines 1157–1176

Em02-A@6#eq:Omega

For a smooth crossed array $H_{0}$ , let

Λ_{Φ}^{ζ} (H_{0}) = ⟨ T_{H_{0}} (K_{ret}), ζ Φ ⟩ .

Resolving this finite functional into crossed components gives compact distributions $Λ_{Φ, A}^{ζ}$ in the relative variables. With $d (x, v) = x - v$ , define

Ω_{Φ}^{ζ} = A \sum d_{*} (Λ_{Φ, A}^{ζ} \otimes C_{A}^{χ}) .

Displayed formulas in this passage

Em02-A@6#eq:Omega · line 1169
$Ω_{Φ}^{ζ} = A \sum d_{*} (Λ_{Φ, A}^{ζ} \otimes C_{A}^{χ}) .$
unlabeled · line 1161
$Λ_{Φ}^{ζ} (H_{0}) = ⟨ T_{H_{0}} (K_{ret}), ζ Φ ⟩ .$

Nearby in this section

proposition: Proposition: Exact complete translation bridge
section: Route A: the complete origin contribution and its cross-check