Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians

Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians

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...

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Bibliographic Details
Main Author: Gusein Sh. Guseinov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Jacobi matrix
difference equation
generalized spectral function
spectral data
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.018

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