On the Determinant of a Certain Wiener-Hopf + Hankel Operator
- Author(s): Basor, EL
- Ehrhardt, T
- Widom, H
- et al.
Published Web Locationhttps://doi.org/10.1007/s00020-003-1162-y
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.