  The superposition of two independent point processes can be described by
multiplication of their probability generating functionals (p.g.fl.s). The
inverse operation, which can be viewed as a deconvolution, is defined by
dividing the superposed process by one of its constituent p.g.fl.s. The
deconvolved process is computed using the higher-order chain rule for Gateaux
differentials. The higher-order quotient rule for Gateaux differentials is
first established and then applied to point processes.
