Copied inputs and conventions

Displayed formulas in this passage

• IX-E-3@1#eq:B · line 310

  $$\begin{array}{rl}{B}_f[h,\varphi ]& =-{\int }_{M_{+}}f(x)(Lh{)}^{\mu }(x){\partial }_{\mu }\varphi (x){\mathrm{d}}^{4}x,L={\mathsf{E}}_{0}C,\\ W_g[h]& ={\int }_{M_{+}}g(y)h_{00}(y{)}^2{\mathrm{d}}^{4}y.\end{array}$$

• IX-E-3@1#eq:W · line 310

  $$\begin{array}{rl}{B}_f[h,\varphi ]& =-{\int }_{M_{+}}f(x)(Lh{)}^{\mu }(x){\partial }_{\mu }\varphi (x){\mathrm{d}}^{4}x,L={\mathsf{E}}_{0}C,\\ W_g[h]& ={\int }_{M_{+}}g(y)h_{00}(y{)}^2{\mathrm{d}}^{4}y.\end{array}$$

• unlabeled · line 298

  $$M_{+}=[0,\infty )\times {\mathbb{R}}^3,M_{+}^{\circ }=(0,\infty )\times {\mathbb{R}}^3,\Sigma =\{0\}\times {\mathbb{R}}^3.$$