An Ablowitz--Ladik system with a discrete potential: I.~Extended resolvent
Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 1, pp. 20-33

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An Ablowitz–Ladik linear system with the potential taking the values 0 or 1 is considered. The extended resolvent of this system is constructed, and the singularities of this operator are analyzed in detail.
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     author = {A. K. Pogrebkov and M. C. Prati},
     title = {An {Ablowitz--Ladik} system with a discrete potential: {I.~Extended} resolvent},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {119},
     number = {1},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1999_119_1_a1/}
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A. K. Pogrebkov; M. C. Prati. An Ablowitz--Ladik system with a discrete potential: I.~Extended resolvent. Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 1, pp. 20-33. http://geodesic.mathdoc.fr/item/TMF_1999_119_1_a1/