Integrable operators and the squares of Hankel operators
arXiv:0709.2326 · doi:10.1016/j.jmaa.2007.09.034
Abstract
Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distributions of large self-adjoint random matrices from the generalized unitary ensembles. This paper gives sufficient conditions for an integrable operator to be the square of a Hankel operator, and applies the condition to the Airy, associated Laguerre, modified Besses and Whittaker functions.
14 pages