+ p /2. Therefore we conclude that p > 0 .,jj'(z) > 1/2.

This implies that ' is a point inside the parabola g = 1/4 - 17 2 , and that Re --K - 1/2 ::; 0. This last result is exactly the admissibility condition given in (2.6-5). By applying Theorem 2.3i we obtain Re p(z) > 0, which is

Y. Komatu [ 154] gave another proof of (d) using a Herglotz representation,

rewritten in terms of subordination. This leads to the following equivalent

form of the theorem.