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Matematicheskie Zametki, 1972, Volume 11, Issue 6, Pages 669–676 (Mi mzm9835)  
This article is cited in 6 scientific papers (total in 6 papers)

Integrals with respect to infinitely divisible distributions in a Hilbert space

V. M. Kryglov

V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR
Full-text PDF (789 kB) Citations (6)
Abstract: A connection between the existence of integrals with respect to infinitely divisible probability distributions in a Hilbert space and the existence of integrals with respect to their spectral measures of functions of certain classes is established.
Received: 19.01.1971
English version:
Mathematical Notes, 1972, Volume 11, Issue 6, Pages 407–411
DOI: https://doi.org/10.1007/BF01093727
Bibliographic databases:
Document Type: Article
UDC: 513.88
Language: Russian
Citation: V. M. Kryglov, “Integrals with respect to infinitely divisible distributions in a Hilbert space”, Mat. Zametki, 11:6 (1972), 669–676; Math. Notes, 11:6 (1972), 407–411
Citation in format AMSBIB
\Bibitem{Kru72}
\by V.~M.~Kryglov
\paper Integrals with respect to infinitely divisible distributions in a Hilbert space
\jour Mat. Zametki
\yr 1972
\vol 11
\issue 6
\pages 669--676
\mathnet{http://mi.mathnet.ru/mzm9835}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=345154}
\zmath{https://zbmath.org/?q=an:0247.60006|0245.60003}
\transl
\jour Math. Notes
\yr 1972
\vol 11
\issue 6
\pages 407--411
\crossref{https://doi.org/10.1007/BF01093727}
Linking options:
  • https://www.mathnet.ru/eng/mzm9835
  • https://www.mathnet.ru/eng/mzm/v11/i6/p669
    • This publication is cited in the following 6 articles:
    1. D. Kh. Kazanchyan, “Novye kharakterizatsii brounovskogo dvizheniya”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2018, no. 1, 43–54  mathnet  crossref  elib
    2. Nina N. Golikova, Victor M. Kruglov, “A Characterisation of the Gaussian Distribution through the Sample Variance”, Sankhya A, 77:2 (2015), 330  crossref
    3. Victor M. Kruglov, “A Characterization of the Gaussian Distribution”, Stochastic Analysis and Applications, 31:5 (2013), 872  crossref
    4. Victor M. Kruglov, “A characterization of the convolution of Gaussian and Poisson distributions”, Sankhya A, 74:1 (2012), 1  crossref
    5. A. L. Yakymiv, “Admissible Functions for the Positive Octant”, Math. Notes, 76:3 (2004), 432–437  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    6. A. L. Yakymiv, “Tauberian theorems and asymptotics of infinitely divisible distributions in a cone”, Theory Probab. Appl., 48:3 (2004), 493–505  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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