Integrable operators and squares of Hankel Matrices

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dc.creatorMcCafferty, A. J.
dc.date2007-07-10
dc.date2007-07-11
dc.date.accessioned2026-07-07T08:14:53Z
dc.date.available2026-07-07T08:14:53Z
dc.descriptionIn this note, we find sufficient conditions for an operator with kernel of the form $A(x)B(y)-A(x)B(y)/(x-y)$ (which we call a Tracy-Widom type operator) to be the square of a Hankel operator. We consider two contexts: infinite matrices on $\ell^2$, and integral operators on the Hardy space $H^2(\mathbb{T})$. The results can be applied to the discrete Bessel kernel, which is significant in random matrix theory.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0707.1474
dc.identifierhttp://arxiv.org/abs/0707.1474
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133291
dc.subjectFunctional Analysis
dc.subject47B35, 15A52
dc.titleIntegrable operators and squares of Hankel Matrices
dc.typetext

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