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math.SP2018
Embedded eigenvalues for perturbed periodic Jacobi operators using a geometric approach
Edmund Judge, Sergey Naboko, Ian Wood
We consider the problem of embedding eigenvalues into the essential spectrum of periodic Jacobi operators, using an oscillating, decreasing potential. To do this we employ a geomet…
math.SP2017
Spectral results for perturbed periodic Jacobi matrices using the discrete Levinson technique
Edmund Judge, Sergey Naboko, Ian Wood
For an arbitrary Hermitian period- Jacobi operator, we assume a perturbation by a Wigner-von Neumann type potential to devise subordinate solutions to the formal spectral equati…