Integrable operators and the squares of Hankel operators

DOI10.1016/j.jmaa.2007.09.034zbMath1140.47036arXiv0709.2326OpenAlexW2078873800MaRDI QIDQ2470489

Gordon Blower

Publication date: 14 February 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2326

zbMATH Keywords

random matricesBessel kernelAiry kernelTracy-Widom operatorsassociated Laguerre function

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral operators (47G10) Ordinary differential operators (34L99) Kernel operators (47B34)

Related Items (4)

A Riemann-Hilbert approach to Fredholm determinants of Hankel composition operators: scalar-valued kernels ⋮ On linear systems and \(\tau\) functions associated with Lamé's equation and Painlevé's equation VI ⋮ Hankel operators that commute with second-order differential operators ⋮ Kernels and point processes associated with Whittaker functions

Cites Work

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• Level-spacing distributions and the Airy kernel
• Level spacing distributions and the Bessel kernel
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• Distributions on partitions, point processes, and the hypergeometric kernel
• The inverse spectral problem for selfadjoint Hankel operators
• Asymptotics of Plancherel-type random partitions
• Determinantal random point fields
• Reduction of Ordinary Differential Equations to the Birkhoff Canonical Form

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