The spectral density of self-adjoint Hankel Matrices

Emilio Fedele, KCL. Part of the Analysis and Applications Seminar Series.

In 1966, H. Widom studied the distribution of eigenvalues of the NxN Hilbert matrix and showed that it diverges logarithmically in N. In this talk, we will generalise his result to any self-adjoint Hankel matrix with a piece-wise continuous symbol.