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- W2015647146 abstract "The author introduces the concepts of positive-definite and conditionally positive definite functions with values in the algebra of bounded maps of a C*-algebra. An analog of Schoenberg's theorem is proved, a GNS-representation is obtained for conditionally positive-definite functions in terms of suitable cocycles, and this representation leads to a noncommutative generalization of the Lévy— Khinchin formula. Applications to the problem of continuous measurement in quantum mechanics are considered. A complete mathematical description is presented of continuous measurement processes, based on the analogy with the classical parts of probability theory—the theory of infinitely divisible distributions and functional limit theorems for processes with independent increments." @default.
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- W2015647146 date "1991-10-01" @default.
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- W2015647146 title "Conditionally positive-definite functions in quantum probability theory" @default.
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- W2015647146 doi "https://doi.org/10.1007/bf01095976" @default.
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