Denisov, L. V.; Kholevo, A. S. Conditionally positive definite functions on the coefficient algebra of a nonabelian group. (English) Zbl 0739.46045 Probability theory and mathematical statistics, Proc. 5th Vilnius Conf., Vilnius/Lith. 1989, Vol. I, 261-270 (1990). [For the entire collection see Zbl 0725.00013.]Author’s abstract: Generalizations of the Schoenberg theorem and the Lévy-Khinchin representation in quantum probability theory are obtained, giving a full description of convolution semigroups of instruments on a Moore group. Reviewer: P.Ressel (Eichstätt) Cited in 1 Document MSC: 46L51 Noncommutative measure and integration 46L53 Noncommutative probability and statistics 46L54 Free probability and free operator algebras 42A82 Positive definite functions in one variable harmonic analysis Keywords:coefficient algebra of a nonabelian group; conditionally positive definite function; Schoenberg theorem; Lévy-Khinchin representation in quantum probability theory; convolution semigroups of instruments on a Moore group Citations:Zbl 0725.00013 PDFBibTeX XMLCite \textit{L. V. Denisov} and \textit{A. S. Kholevo}, in: The low density limit and the quantum Poisson process. . 261--270 (1990; Zbl 0739.46045)