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arXiv · 1301.2221

On determinants of integrable operators with shifts

A. R. Its·K. K. Kozlowski
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Abstract

Integrable integral operator can be studied by means of a matrix Riemann--Hilbert problem. However, in the case of so-called integrable operators with shifts, the associated Riemann--Hilbert problem becomes operator valued and this complicates strongly the analysis. In this note, we show how to circumvent, in a very simple way, the use of such a setting while still being able to characterize the large-$x$ asymptotic behavior of the determinant associated with the operator.

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A. R. Its, K. K. Kozlowski. 2013-01-10. On determinants of integrable operators with shifts. https://arxiv.org/abs/1301.2221

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