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math.SP2023★ 2 cited
Asymptotic zeros' distribution of orthogonal polynomials with unbounded recurrence coefficients
Grzegorz Świderski, Bartosz Trojan
We study spectrum of finite truncations of unbounded Jacobi matrices with periodically modulated entries. In particular, we show that under some hypotheses a sequence of properly n…
math.SP2023
Barrier nonsubordinacy and absolutely continuous spectrum of block Jacobi matrices
Marcin Moszyński, Grzegorz Świderski
We explore to what extent the relation between the absolute continuous spectrum and non-existence of subordinate generalized eigenvectors, known for scalar Jacobi operators, can be…