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arxiv: math/0304002 · v1 · submitted 2003-03-31 · 🧮 math.FA

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

Estelle L. Basor , Torsten Ehrhardt , Harold Widom This is my paper
classification 🧮 math.FA
keywords hankeldeterminantsintervaloperatorstruncatedwiener-hopfariseasymptotic
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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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