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Matematicheskie Zametki, 1996, Volume 60, Issue 4, Pages 519–537
DOI: https://doi.org/10.4213/mzm1860
(Mi mzm1860)
 

This article is cited in 5 scientific papers (total in 5 papers)

Quantum extensions of semigroups generated by Bessel processes

F. Fagnolaa, R. Monteb

a University of Genova, Department of Mathematics
b Università degli Studi di Palermo
Full-text PDF (246 kB) Citations (5)
References:
Abstract: We construct a quantum extension of the Markov semigroup of the classical Bessel process of order $\nu\ge1$ to the noncommutative von Neumann algebra $\beta(L^2(0,+\infty))$ of bounded operators on $L^2(0,+\infty)$.
Received: 20.05.1996
English version:
Mathematical Notes, 1996, Volume 60, Issue 4, Pages 389–401
DOI: https://doi.org/10.1007/BF02305422
Bibliographic databases:
UDC: 519.217
Language: Russian
Citation: F. Fagnola, R. Monte, “Quantum extensions of semigroups generated by Bessel processes”, Mat. Zametki, 60:4 (1996), 519–537; Math. Notes, 60:4 (1996), 389–401
Citation in format AMSBIB
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\by F.~Fagnola, R.~Monte
\paper Quantum extensions of semigroups generated by Bessel processes
\jour Mat. Zametki
\yr 1996
\vol 60
\issue 4
\pages 519--537
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\zmath{https://zbmath.org/?q=an:0897.46053}
\transl
\jour Math. Notes
\yr 1996
\vol 60
\issue 4
\pages 389--401
\crossref{https://doi.org/10.1007/BF02305422}
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  • https://doi.org/10.4213/mzm1860
  • https://www.mathnet.ru/eng/mzm/v60/i4/p519
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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