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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 4, Pages 715–730 (Mi tvp3107)  
This article is cited in 7 scientific papers (total in 7 papers)

Polynomials of generalized random field and its moments

R. L. Dobrušin, R. A. Minlos

Moscow
Full-text PDF (1078 kB) Citations (7)
Abstract: The paper deals with different properties of generalized random fields, i.e. probability measures in spaces of linear functionals on linear topological spaces. A general construction is given which describes random variables depending on the field with the help of polynomials of the field. By using this construction, it is proved that the existence of moments of linear random functions implies continuity of their moment forms.
Received: 01.12.1976
English version:
Theory of Probability and its Applications, 1979, Volume 23, Issue 4, Pages 686–699
DOI: https://doi.org/10.1137/1123086
Bibliographic databases:
Language: Russian
Citation: R. L. Dobrušin, R. A. Minlos, “Polynomials of generalized random field and its moments”, Teor. Veroyatnost. i Primenen., 23:4 (1978), 715–730; Theory Probab. Appl., 23:4 (1979), 686–699
Citation in format AMSBIB
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\by R.~L.~Dobru{\v s}in, R.~A.~Minlos
\paper Polynomials of generalized random field and its moments
\jour Teor. Veroyatnost. i Primenen.
\yr 1978
\vol 23
\issue 4
\pages 715--730
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=516270}
\zmath{https://zbmath.org/?q=an:0422.60044|0405.60054}
\transl
\jour Theory Probab. Appl.
\yr 1979
\vol 23
\issue 4
\pages 686--699
\crossref{https://doi.org/10.1137/1123086}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1978JA77700002}
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  • https://www.mathnet.ru/eng/tvp/v23/i4/p715
    • This publication is cited in the following 7 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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