Difference Krichever-Novikov operators
Abstract
In this paper we study commuting difference operators of rank two. We introduce an equation on potentials V(n),W(n) of the difference operator L4=(T+V(n)T-1)2+W(n) and some additional data. With the help of this equation we find the first examples of commuting difference operators of rank two corresponding to spectral curves of higher genus.
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