=+16.6. Suppose that f(w, - ) is, for each w, a function on an open set W in the complex plane and that f( ., z) is for z in W measurable § and integrable.

Suppose that A satisfies (16.9), that f(w, . ) is analytic in W for @ in A, and that for each z in W there is an integrable g( ., z0) such that If'(w, z)| s g(w, zo) for all @ €A and all z in some neighborhood of zo. Show that

[f(w, z)p(dw) is analytic in W.