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math.SP2019
Titchmarsh-Weyl formula for the spectral density of a class of Jacobi matrices in the critical case
Serguei Naboko, Sergey Simonov
We consider a class of Jacobi matrices with unbounded entries in the so called critical (double root, Jordan box) case. We prove a formula for the spectral density of the matrix wh…
math.SP2010★ 25 cited
Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic case
Serguei Naboko, Sergey Simonov
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 ob…