Integral operators with the generalized sine-kernel on the real axis
Mathematical Physics
2015-05-19 v1 math.MP
Abstract
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.
Cite
@article{arxiv.1005.5047,
title = {Integral operators with the generalized sine-kernel on the real axis},
author = {N. A. Slavnov},
journal= {arXiv preprint arXiv:1005.5047},
year = {2015}
}
Comments
17 pages, 2 Postscript figures, submitted to Theor. Math. Phys