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

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

2010-03-16

arxiv.org/abs/1003.3197v1

S. Naboko and S. Simonov. Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic cas

Mathematics

Spectral Theory

Scientific paper

10.1017/S001309150700106X

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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