Abstract:We will consider one-point commuting difference operators of rank one. It will be shown that rank one commuting differential operators can be extended to one point commuting difference operators depending on a small parameter. The spectral data for such operators are obtained by a natural extension of the classical Krichever's spectral data for commuting differential operators of rank one.
Professor Andrey Mironov is the acting director of Sobolev Institute of Mathematics, Corresponding member of Russian Academy of Sciences. His research interest includes Integrable Systems, Geometry, Mathematical Physics and Dynamical Systems.
