Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann-Hilbert approach

Marco Bertola, Elliot Blackstone, Alexander Katsevich +1

In this paper we study the spectra of bounded self-adjoint linear operators that are related to finite Hilbert transforms ${\mathcal{H}}_L:L^2([b_L,0])\to L^2([0,b_R])$ and $\mathcal…