Two-dimensional algebro-geometric difference operators
Alexei A. Oblomkov, Alexei V. Penskoi
TL;DR
This paper introduces a generalized inverse problem for 2D difference operators and proposes a new construction of algebro-geometric difference operators, expanding on earlier work by Krichever and Novikov.
Contribution
It presents a novel method for constructing algebro-geometric difference operators of two types, advancing the theoretical framework in this area.
Findings
New construction method for algebro-geometric difference operators
Extension of Krichever and Novikov's work
Potential applications in integrable systems
Abstract
A generalized inverse problem for a two-dimensional difference operator is introduced. A new construction of the algebro-geometric difference operators of two types first considered by I.M.Krichever and S.P.Novikov is proposed
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