Integrable operators and squares of Hankel operators.

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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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: Journal 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: /dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
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: 24 Aug 2019 00:45
URI: https://eprints.lancs.ac.uk/id/eprint/615

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