On a conjecture of Widom
arXiv:math/0508537 · doi:10.1088/0305-4470/39/28/S07
Abstract
We prove a conjecture of H.Widom stated in [W] (math/0108008) about the reality of eigenvalues of certain infinite matrices arising in asymptotic analysis of large Toeplitz determinants. As a byproduct we obtain a new proof of A.Okounkov's formula for the (determinantal) correlation functions of the Schur measures on partitions.
9 pages