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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 3, Pages 190–198 (Mi smj1665)  
This article is cited in 2 scientific papers (total in 2 papers)

Nonstandard discretization and the Loeb extension of a family of measures

V. G. Troitskii
Full-text PDF (881 kB) Citations (2)
Abstract: The first part of the article deals with discretization of an integral operator by means of nonstandard analysis. Any integral operator is proved to be approximable to within infinitesimal by a matrix of infinite size. In the second part, the Loeb construction for a random measure is implemented and a connection of the construction with vector Loeb measures and nonstandard hulls is studied.
Received: 11.12.1991
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 3, Pages 566–573
DOI: https://doi.org/10.1007/BF00971232
Bibliographic databases:
UDC: 513.013
Language: Russian
Citation: V. G. Troitskii, “Nonstandard discretization and the Loeb extension of a family of measures”, Sibirsk. Mat. Zh., 34:3 (1993), 190–198; Siberian Math. J., 34:3 (1993), 566–573
Citation in format AMSBIB
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\by V.~G.~Troitskii
\paper Nonstandard discretization and the Loeb extension of a family of measures
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 3
\pages 190--198
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1241181}
\zmath{https://zbmath.org/?q=an:0808.28014}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 3
\pages 566--573
\crossref{https://doi.org/10.1007/BF00971232}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LR86400018}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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