%0 Journal Article %T Integrable operators and the squares of Hankel operators %A Gordon Blower %J Mathematics %D 2007 %I arXiv %R 10.1016/j.jmaa.2007.09.034 %X 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. %U http://arxiv.org/abs/0709.2326v1