Blower, Gordon (2008) Integrable operators and squares of Hankel operators. Journal of Mathematical Analysis and Applications, 340 (2). pp. 943-953. ISSN 0022-247X
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Official URL: http://dx.doi.org/10.1016/j.jmaa2007.09.034
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.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Journal of Mathematical Analysis and Applications |
| Additional Information: | The final, definitive version of this article has been published in the Journal, Journal of Mathematical Analysis and Applications 340 (2), 2008, © ELSEVIER. |
| Uncontrolled Keywords: | random matrices ; Tracy--Widom operators |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 615 |
| Deposited By: | Professor Gordon Blower |
| Deposited On: | 07 Nov 2007 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 18:14 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/615 |
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