Integrable operators and the squares of Hankel operators |
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Authors: | Gordon Blower |
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Affiliation: | aDepartment of Mathematics and Statistics, Lancaster University, Lancaster, LA1 4YF, England, UK |
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Abstract: | Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution 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. |
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Keywords: | Random matrices Tracy– Widom operators |
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