established in his Munich dissertation,* "Ueber die Ausbreitung der Wellen der drahtlosen Télégraphie auf der Erdkugel," for the case where ƒ(0) is continuous in the interval (0, w) and is subject to certain other restrictions, is also capable of representing a function which has a finite number of finite discontinuities in this interval, and that at such a point of discontinuity the integral r...