2003/03/31 by Estelle L. Basor, Torsten Ehrhardt, Basor, Estelle L. +3
Mathematics · #47B35 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:47B35
paper · pdf · doi:10.48550/arxiv.math/0304002
LaTeX file, 14 pages
arxiv created 2003/03/31 · arxiv updated 2009/11/30
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.