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arXiv · 1003.3197

Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic case

Serguei Naboko·Sergey Simonov
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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.

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Serguei Naboko, Sergey Simonov. 2010-03-16. Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic case. https://doi.org/10.1017/s001309150700106x

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