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Sbornik: Mathematics, 1997, Volume 188, Issue 11, Pages 1587–1616
DOI: https://doi.org/10.1070/sm1997v188n11ABEH000275
(Mi sm275)
 

This article is cited in 10 scientific papers (total in 10 papers)

On the correspondence between boson Fock space and the $L^2$ space with respect to Poisson measure

Yu. A. Neretin

Moscow State Institute of Electronics and Mathematics
References:
Abstract: The properties of the integral transformation carrying boson Fock space into the $L^2$ space with respect to Poisson measure are investigated. An explicit formula is obtained for point configuration functions corresponding to Gaussian vectors of boson Fock space.
Received: 11.03.1997
Bibliographic databases:
UDC: 519.46+517.4
MSC: Primary 47N50, 46N50; Secondary 47B38, 81R10, 81S05, 47B10, 32A30, 22E70
Language: English
Original paper language: Russian
Citation: Yu. A. Neretin, “On the correspondence between boson Fock space and the $L^2$ space with respect to Poisson measure”, Sb. Math., 188:11 (1997), 1587–1616
Citation in format AMSBIB
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\by Yu.~A.~Neretin
\paper On the correspondence between boson Fock space and the~$L^2$ space with respect to Poisson measure
\jour Sb. Math.
\yr 1997
\vol 188
\issue 11
\pages 1587--1616
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  • https://doi.org/10.1070/sm1997v188n11ABEH000275
  • https://www.mathnet.ru/eng/sm/v188/i11/p19
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:641
    Russian version PDF:287
    English version PDF:29
    References:103
    First page:3
     
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