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

A. K. Pogrebkov^a, M. C. Prati<sup>b

a</sup> Steklov Mathematical Institute, Russian Academy of Sciences
^b Scuola Normale Superiore in Pisa

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

DOI: 10.4213/tmf724

 English version: Theoretical and Mathematical Physics, 1999, 119:1, 407–419

Bibliographic databases:

• 
• 
•