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Integrable operators and squares of Hankel operators.

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Integrable operators and squares of Hankel operators. / Blower, Gordon.
In: Journal of Mathematical Analysis and Applications, Vol. 340, No. 2, 15.04.2008, p. 943-953.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Blower, G 2008, 'Integrable operators and squares of Hankel operators.', Journal of Mathematical Analysis and Applications, vol. 340, no. 2, pp. 943-953. https://doi.org/10.1016/j.jmaa2007.09.034

APA

Blower, G. (2008). Integrable operators and squares of Hankel operators. Journal of Mathematical Analysis and Applications, 340(2), 943-953. https://doi.org/10.1016/j.jmaa2007.09.034

Vancouver

Blower G. Integrable operators and squares of Hankel operators. Journal of Mathematical Analysis and Applications. 2008 Apr 15;340(2):943-953. doi: 10.1016/j.jmaa2007.09.034

Author

Blower, Gordon. / Integrable operators and squares of Hankel operators. In: Journal of Mathematical Analysis and Applications. 2008 ; Vol. 340, No. 2. pp. 943-953.

Bibtex

@article{f1a443499cff4bdba8dee0c93581ee51,
title = "Integrable operators and squares of Hankel operators.",
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.",
keywords = "random matrices, Tracy--Widom operators",
author = "Gordon Blower",
note = "The final, definitive version of this article has been published in the Journal, Journal of Mathematical Analysis and Applications 340 (2), 2008, {\textcopyright} ELSEVIER.",
year = "2008",
month = apr,
day = "15",
doi = "10.1016/j.jmaa2007.09.034",
language = "English",
volume = "340",
pages = "943--953",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "2",

}

RIS

TY - JOUR

T1 - Integrable operators and squares of Hankel operators.

AU - Blower, Gordon

N1 - The final, definitive version of this article has been published in the Journal, Journal of Mathematical Analysis and Applications 340 (2), 2008, © ELSEVIER.

PY - 2008/4/15

Y1 - 2008/4/15

N2 - 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.

AB - 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.

KW - random matrices

KW - Tracy--Widom operators

U2 - 10.1016/j.jmaa2007.09.034

DO - 10.1016/j.jmaa2007.09.034

M3 - Journal article

VL - 340

SP - 943

EP - 953

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -