Volterra series describing the substitution of nonlinear components in nonlinear networks

A generalized Volterra series expansion is given that describes the behavior of a time-invarient nonlinear network as a function of the nonlinear behavior of an individual component. This series arises from a recent generalization by Dwyer of Volterra series, namely, Fock spaces of rigged Hilbert spaces. Only in very special cases, e.g., when both the component and network are linear, is the resultant Volterra series simple enough for direct practical use.