Schmuland, Byron; Sun, Wei - In: Statistics & Probability Letters 52 (2001) 2, pp. 183-188
We prove that any solution of the equation [mu]t+s=[mu]s*Ts[mu]t consists of infinitely divisible measures, and that there are constants (bt)t[greater-or-equal, slanted]0 so that t|->[mu]t*[delta]-bt is continuous.