An inverse spectral problem for complex Jacobi matrices

✍ Scribed by Gusein Sh. Guseinov

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 257 KB
• Volume: 15
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2009.05.029

✦ Synopsis

a b s t r a c t

We introduce the concept of generalized spectral function for finite order complex Jacobi matrices and solve the inverse problem with respect to the generalized spectral function.

The results obtained can be used for solving of initial-boundary value problems for finite nonlinear Toda lattices with the complex-valued initial conditions by means of the inverse spectral problem method.