Integral operators with the generalized sine-kernel on the real axis

Details Integral operators with the generalized sine-kernel on the real axis Integral operators with the generalized sine-kernel on the real axis

2010-05-27

arxiv.org/abs/1005.5047v1

Physics

Mathematical Physics

17 pages, 2 Postscript figures, submitted to Theor. Math. Phys

Scientific paper

The asymptotic properties of integral operators with the generalized sine
kernel acting on the real axis are studied. The formulas for the resolvent and
the Fredholm determinant are obtained in the large x limit. Some applications
of the results obtained to the theory of integrable models are considered.

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