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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 165, Number 1, Pages 32–47
DOI: https://doi.org/10.4213/tmf6562 (Mi tmf6562) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Integral operators with the generalized sine kernel on the real axis

N. A. Slavnov

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (571 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf6562
Abstract: We study the asymptotic properties of integral operators with the generalized sine kernel acting on the real axis. We obtain the formulas for the Fredholm determinant and the resolvent in the large-$x$ limit and consider some applications of the obtained results to the theory of integrable models.
Keywords: Fredholm determinant, resolvent, asymptotic expansion.
Received: 27.04.2010
English version:
Theoretical and Mathematical Physics, 2010, Volume 165, Issue 1, Pages 1262–1274
DOI: https://doi.org/10.1007/s11232-010-0108-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. A. Slavnov, “Integral operators with the generalized sine kernel on the real axis”, TMF, 165:1 (2010), 32–47; Theoret. and Math. Phys., 165:1 (2010), 1262–1274
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :225
    References:65
    First page:10
     
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