 \sum_{{\mathbf x}\in \Omega(T) } \varphi({\mathbf x}) \,  \varphi^o_{{\mathrm{KM}}}  \left(\sqrt{v_0} x_0 +  \frac{y \,  v_{00}'}{\sqrt{ v_0} } \right)  \wedge  \delta_{{\mathbb D}^+_y} \wedge \Omega^{n-0-r(y)}   