Abstract
An important role in modern statistical quantum measurement theory is played by measures that assume values in a noncommutative algebra of transformations. This paper investigates convolution semigroups of such measures arising in connection with measurement processes that proceed continuously in time. The principal result is a noncommutative generalization of the Lévy–Khinchin formula, which describes the structure of the convolution semigroups in terms of their Fourier transforms.
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