On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus

Patrick Gérard, Thomas Kappeler, Peter Topalov

We investigate the spectrum of the Lax operator $L_u$ of the Benjamin-Ono equation on the torus for complex valued potentials $u$ in the Sobolev space $H^{-s}(\mathbb{T},\mathbb{C}…