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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
English version PDF (331 kB) Citations (10)
References:
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DOI: https://doi.org/10.1070/sm1997v188n11ABEH000275
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
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 11, Pages 19–50
DOI: https://doi.org/10.4213/sm275
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”, Mat. Sb., 188:11 (1997), 19–50; Sb. Math., 188:11 (1997), 1587–1616
Citation in format AMSBIB
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  • 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
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:629
    Russian version PDF:286
    English version PDF:28
    References:102
    First page:3
     
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