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On the Determinant of a Certain Wiener-Hopf + Hankel Operator | Estelle L. Basor
; Torsten Ehrhardt
; Harold Widom
; | Date: |
1 Apr 2003 | Subject: | Functional Analysis MSC-class: 47B35 | math.FA | Abstract: | 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. | Source: | arXiv, math.FA/0304002 | Services: | Forum | Review | PDF | Favorites |
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