Ma. Tellez, THE MULTIPLICATIVE PRODUCT (DELTA(X(0)-VERTICAL-BAR-X-VERTICAL-BAR) RTICAL-BAR)/VERTICAL-BAR-X-VERTICAL-BAR((N-2)/2))/, Journal of mathematical chemistry, 22(2-4), 1997, pp. 149-160
In this paper we give a sense to the distributional multiplicative pro
duct (delta(x(0) - \x\)/\x\((n-2)/2))(delta(x(0) + \x\)/\x\((n-2)/2)).
For the case n = 4 we obtain a formula which is used for a perturbati
ve calculation of Green function in quantum field theories. As an appl
ication of our product, we show the calculation of the self-energy of
the theory of lambda phi(4).