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Matematicheskie Zametki, 1998, Volume 64, Issue 4, Pages 483–492
DOI: https://doi.org/10.4213/mzm1423 (Mi mzm1423) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Extensions of spaces with cylindrical measures and supports of measures determined by the Lévy Laplacian

O. G. Smolyanova, L. Accardib

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b M. V. Lomonosov Moscow State University
Full-text PDF (222 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm1423
Abstract: Extensions of noncountably additive (cylindrical) measures are described, and examples of Hilbert supports of the Lévy–Gauss measure are given.
Received: 13.05.1997
English version:
Mathematical Notes, 1998, Volume 64, Issue 4, Pages 421–428
DOI: https://doi.org/10.1007/BF02314622
Bibliographic databases:
UDC: 517.518
Language: Russian
Citation: O. G. Smolyanov, L. Accardi, “Extensions of spaces with cylindrical measures and supports of measures determined by the Lévy Laplacian”, Mat. Zametki, 64:4 (1998), 483–492; Math. Notes, 64:4 (1998), 421–428
Citation in format AMSBIB
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\pages 483--492
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Linking options:
  • https://www.mathnet.ru/eng/mzm1423
  • https://doi.org/10.4213/mzm1423
  • https://www.mathnet.ru/eng/mzm/v64/i4/p483
    • This publication is cited in the following 8 articles:
    1. Volkov B.O., “Levy-Laplacian and the Gauge Fields”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 15:4 (2012), 1250027  crossref  mathscinet  zmath  isi  elib  scopus
    2. Accardi, L, “Generalized Lévy Laplacians and CesA ro means”, Doklady Mathematics, 79:1 (2009), 90  mathnet  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    3. Accardi L., Smolyanov O.G., “Feynman Formulas for Evolution Equations with Levy Laplacians on Manifolds”, Quantum Probability and Infinite Dimensional Analysis, Proceedings, Qp-Pq Quantum Probability and White Noise Analysis, 20, eds. Accardi L., Freudenberg W., Schurmann M., World Scientific Publ Co Pte Ltd, 2007, 13–25  crossref  mathscinet  zmath  isi
    4. Accardi, L, “Feynman formulas for evolution equations with Levy Laplacians on infinite-dimensional manifolds”, Doklady Mathematics, 73:2 (2006), 252  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    5. Obrezkov, OO, “Non-self-adjoint extensions of the Levy-Laplacian and the Levy-Laplace equation”, Infinite Dimensional Analysis Quantum Probability and Related Topics, 9:1 (2006), 67  crossref  mathscinet  zmath  isi  scopus  scopus
    6. I. D. Tveritinov, “Relationship Between Distinct Realizations of Bogolyubov Transformations”, Math. Notes, 75:5 (2004), 744–748  mathnet  crossref  crossref  mathscinet  zmath  isi
    7. Accardi, L, “Levy Laplacian acting on operators”, Russian Journal of Mathematical Physics, 10:4 (2003), 359  mathscinet  zmath  isi
    8. L. Accardi, O. G. Smolyanov, “Lévy–Laplace Operators in Functional Rigged Hilbert Spaces”, Math. Notes, 72:1 (2002), 129–134  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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