On the Determinant of a Certain Wiener-Hopf + Hankel Operator

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We establish an asymptotic formula for determinants of truncated Wiener-Hopf+Hankel operators with symbol equal to the exponential of a constant times the characteristic function of an interval. This is done by reducing it to the corresponding (known) asymptotics for truncated Toeplitz+Hankel operators. The determinants in question arise in random matrix theory in determining the limiting distribution for the number of eigenvalues in an interval for a scaled Laguerre ensemble of positive Hermitian matrices.
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Functional Analysis, 47B35

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http://salesiana.dossiersoluciones.com/handle/123456789/66951

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304002
 http://arxiv.org/abs/math/0304002

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arXiv