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Teoriya Veroyatnostei i ee Primeneniya, 1993, Volume 38, Issue 4, Pages 842–857 (Mi tvp4022)  
This article is cited in 1 scientific paper (total in 1 paper)

On the Lévy–Khinchin formula in noncommutative probability theory

A. S. Kholevo

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (806 kB) Citations (1)
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.
Keywords: convolution semigroup, instrument, quasi-characteristic function.
Received: 25.04.1991
English version:
Theory of Probability and its Applications, 1993, Volume 38, Issue 4, Pages 660–672
DOI: https://doi.org/10.1137/1138066
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Kholevo, “On the Lévy–Khinchin formula in noncommutative probability theory”, Teor. Veroyatnost. i Primenen., 38:4 (1993), 842–857; Theory Probab. Appl., 38:4 (1993), 660–672
Citation in format AMSBIB
\Bibitem{Hol93}
\by A.~S.~Kholevo
\paper On the L\'evy--Khinchin formula in noncommutative probability theory
\jour Teor. Veroyatnost. i Primenen.
\yr 1993
\vol 38
\issue 4
\pages 842--857
\mathnet{http://mi.mathnet.ru/tvp4022}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1318001}
\zmath{https://zbmath.org/?q=an:0827.60007}
\transl
\jour Theory Probab. Appl.
\yr 1993
\vol 38
\issue 4
\pages 660--672
\crossref{https://doi.org/10.1137/1138066}
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  • https://www.mathnet.ru/eng/tvp/v38/i4/p842
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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