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Integrable operators and squares of Hankel operators.

By Gordon Blower

Abstract

Integrable operators arise in random matrix teory, where they describe the asymptotic 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 Bessel and Whittaker functions

Year: 2008
OAI identifier: oai:eprints.lancs.ac.uk:615
Provided by: Lancaster E-Prints

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