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arxiv: math-ph/9901015 · v1 · submitted 1999-01-22 · 🧮 math-ph · math.MP· nlin.SI· solv-int

Ablowitz-Ladik system with discrete potential. I. Extended resolvent

classification 🧮 math-ph math.MPnlin.SIsolv-int
keywords systemablowitz-ladikextendedoperatorpotentialresolventanalyzedconsidered
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Ablowitz-Ladik linear system with range of potential equal to {0,1} is considered. The extended resolvent operator of this system is constructed and the singularities of this operator are analyzed in detail.

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