The inner formulation for the total square integral (SUM)

In this letter the value of the complex integrals InΔ 1/2πj ∫-j∞^j∞G(s)G(-s)ds and In=1/2πj ∮unit circleF(z)F(z^-1)z^-1dz which arise in obtaining the total square integral for the continuous case and the total square sum for discrete case are obtained in a unified approach based in the "Inners." In both cases it is shown that Inis obtained as the ratio of two Inner determinants. The denominator determinants are related to the stability conditions. The computational algorithm recently obtained for the Inners determinants can be readily used for the evaluation of In.