Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• ISSN: 1815-0659
• Main Author: Guseinov, G.Sh.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149241
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians / G.Sh. Guseinov// Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 23 назв. — англ.

In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries. The structure of the generalized spectral function is described in terms of spectral data consisting of the eigenvalues and normalizing nu...