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Funktsional'nyi Analiz i ego Prilozheniya, 2008, Volume 42, Issue 1, Pages 22–32
DOI: https://doi.org/10.4213/faa2887 (Mi faa2887) 		 
This article is cited in 7 scientific papers (total in 8 papers)

Integral Models of Representations of Current Groups

A. M. Vershika, M. I. Graevb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Scientific Research Institute for System Studies of RAS
Full-text PDF (227 kB) Citations (8)
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DOI: https://doi.org/10.4213/faa2887
Abstract: We suggest a new construction of nonlocal representations of the current group. Instead of the Fock space, which is usually used in this situation, we consider the direct integral of countable tensor products of representations over the trajectories of some stochastic process. The construction substantially uses the invariance of the so-called infinite-dimensional Lebesgue measure.
Keywords: current group, summable representation, integral of tensor products.
Received: 03.09.2007
English version:
Functional Analysis and Its Applications, 2008, Volume 42, Issue 1, Pages 19–27
DOI: https://doi.org/10.1007/s10688-008-0002-x
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. M. Vershik, M. I. Graev, “Integral Models of Representations of Current Groups”, Funktsional. Anal. i Prilozhen., 42:1 (2008), 22–32; Funct. Anal. Appl., 42:1 (2008), 19–27
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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