- 08-45 Serguei Naboko, Sergey Simonov
- Spectral analysis of a class of hermitian Jacobi
matrices in a critical (double root) hyperbolic case: periodically
modulated matrix entries.
Mar 12, 08
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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
of the corresponding Jacobi matrix.