On the equation [mu]t+s=[mu]s*Ts[mu]t

Byron Schmuland and Wei Sun

Statistics & Probability Letters, 2001, vol. 52, issue 2, 183-188

Abstract: 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.

Keywords: (Tt)-convolution; semigroup; Infinitely; divisible; Mehler; formula (search for similar items in EconPapers)
Date: 2001
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