25 citations · 25 across the 1 of their papers we have counts for
2 papers
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…