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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.

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

Citations:

Zbl 0725.00013
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