Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic case
Spectral Theory
2010-03-17 v1
Abstract
We consider a class of Jacobi matrices with periodically modulated diagonal in a critical hyperbolic ("double root") situation. For the model with "non-smooth" matrix entries we obtain the asymptotics of generalized eigenvectors and analyze the spectrum. In addition, we reformulate a very helpful theorem from a paper of Janas and Moszynski in its full generality in order to serve the needs of our method.
Keywords
Cite
@article{arxiv.1003.3197,
title = {Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic case},
author = {Serguei Naboko and Sergey Simonov},
journal= {arXiv preprint arXiv:1003.3197},
year = {2010}
}