An Ablowitz-Ladik system with a discrete potential: I. Extended resolvent

Authors
Pogrebkov, AK Prati, MC
Citation
Ak. Pogrebkov et Mc. Prati, An Ablowitz-Ladik system with a discrete potential: I. Extended resolvent, THEOR MATH, 119(1), 1999, pp. 407-419
Citations number
26
Categorie Soggetti
Physics
Journal title
THEORETICAL AND MATHEMATICAL PHYSICS
ISSN journal
00405779 → ACNP
Volume
119
Issue
1
Year of publication
1999
Pages
407 - 419
Database
ISI
SICI code
0040-5779(199904)119:1<407:AASWAD>2.0.ZU;2-1
Abstract
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 t he singularities of this operator are analyzed in detail.