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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)
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DOI: https://doi.org/10.4213/mzm1860
Abstract: We construct a quantum extension of the Markov semigroup of the classical Bessel process of order ν⩾1 to the noncommutative von Neumann algebra β(L2(0,+∞)) of bounded operators on L2(0,+∞).
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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\paper Quantum extensions of semigroups generated by Bessel processes
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\yr 1996
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\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:
    1. Dharmendra Kumar, Sachi Srivastava, “Quantum extensions of classical Jacobi semigroups”, Semigroup Forum, 2024  crossref
    2. Lazhar Dhaouadi, “Bilateral birth and death process in q-calculus”, Stochastics, 95:2 (2023), 157  crossref
    3. Fagnola F., Kumar D., Srivastava S., “A Quantum Laguerre Semigroup”, Indian J. Pure Appl. Math., 52:4 (2021), 1201–1211  crossref  isi
    4. Khadija Bessadok, Franco Fagnola, Skander Hachicha, “Classical and Quantum Markov Processes Associated with q-Bessel Operators”, Open Syst. Inf. Dyn., 27:01 (2020), 2050005  crossref
    5. L. Accardi, T. Khida, V. V. Khtai, “Boson Fock representations of stochastic processes”, Math. Notes, 67:1 (2000), 3–11  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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