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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 119, Number 1, Pages 20–33
DOI: https://doi.org/10.4213/tmf724 (Mi tmf724) 		 
An Ablowitz–Ladik system with a discrete potential: I. Extended resolvent

A. K. Pogrebkova, M. C. Pratib

a Steklov Mathematical Institute, Russian Academy of Sciences
b Scuola Normale Superiore in Pisa
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DOI: https://doi.org/10.4213/tmf724
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 the singularities of this operator are analyzed in detail.
Received: 23.11.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 119, Issue 1, Pages 407–419
DOI: https://doi.org/10.1007/BF02557339
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. K. Pogrebkov, M. C. Prati, “An Ablowitz–Ladik system with a discrete potential: I. Extended resolvent”, TMF, 119:1 (1999), 20–33; Theoret. and Math. Phys., 119:1 (1999), 407–419
Citation in format AMSBIB
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\pages 20--33
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\jour Theoret. and Math. Phys.
\yr 1999
\vol 119
\issue 1
\pages 407--419
\crossref{https://doi.org/10.1007/BF02557339}
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