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• W2050533912 abstract "We investigate the asymptotic behavior of a generalized sine kernel acting on a finite size interval [-q,q]. We determine its asymptotic resolvent as well as the first terms in the asymptotic expansion of its Fredholm determinant. Further, we apply our results to build the resolvent of truncated Wiener--Hopf operators generated by holomorphic symbols. Finally, the leading asymptotics of the Fredholm determinant allows us to establish the asymptotic estimates of certain oscillatory multidimensional coupled integrals that appear in the study of correlation functions of quantum integrable models." @default.
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• W2050533912 date "2009-07-30" @default.
• W2050533912 modified "2023-10-14" @default.
• W2050533912 title "Riemann–Hilbert Approach to a Generalised Sine Kernel and Applications" @default.
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• W2050533912 doi "https://doi.org/10.1007/s00220-009-0878-1" @default.
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