Compact localization of the regularized graphs

Let $t^{H,[2]}$ be the already defined kernel of the coefficient of ${\hslash }^2$ in ${\mathcal{V}}_g{\star }_H\mathcal{O}$. Then

is an admitted finite-regulator functional. It is not denoted ${R_1}^{(1)}$. Admission at each positive $\tau$ gives no convergence or uniform wavefront theorem as $\tau \downarrow 0$.