In frared and ultraviolet divergences of the coefficient functions of Feynman diagrams as tempered distributions. II

The results of the author are generalized to the case of nonsealar Feynman diagrams. It is shown that the analytically regularized coefficient function $F_\Gamma(\underline q)$ associated with an arbitrary graph $\Gamma$ is a functional in $S'(R^{4k})$ and an analytic function of the regularizing parameters $\lambda_l$ in some nonempty domain, from which it can be continued to the whole of $C^L$ as a meromorphic function with two series of poles (infrared and ultraviolet). Conditions under which the coefficient functions have no infrared divergences as functionals in $S'$ are obtained. It is shown how and under what conditions a coefficient function can be defined as a functional on a subspace of $S(R^{4k})$.